Dr Oliver Mason

    Hamilton Institute, Mathematics and Statistics

    Associate Professor

    Logic House
    2nd Floor
    204
    (01) 708 3672

    Biography

    Oliver Mason completed a B.A (mod) and an MSc (Research) in Mathematics in Trinity College in 1995 and 1998 respectively.  After spending time working on satellite communications and in the institute of technology sector, he did a PhD in Lyapunov stability theory for switched systems at Maynooth University, completing the latter in 2004. 

    He has been a faculty member at Maynooth University since 2009 and is now a senior lecturer with the Department of Mathematics and Statistics. 

    Research Interests

    My main research interests are in the areas of Systems and Control Theory, Matrix Theory, and the Mathematics of Data Privacy. 

    I have worked on the theory and applications of positive dynamical systems for a number of years, particularly on the stability theory of linear and nonlinear positive systems subject to time-delay and uncertainty.  I am also interested in applications of such systems to models in mathematical epidemiology and ecology.  

    Another major research focus of mine concerns problems of matrix stability.  In particular, I am interested in strong forms of stability such as D-stability and diagonal stability and their extensions to families of matrices defining difference or differential inclusions and to pairs of matrices arising in connection with linear time-delay systems.        

    The max-algebra is defined by the nonnegative real numbers equipped with the two operations of multiplication and maximisation.  I am interested in studying the linear algebra of matrices defined over the max-algebra with a particular focus on the asymptotic behaviour of semigroups generated by sets of such matrices.  

    I have also worked on questions related to data privacy and the application of privacy frameworks such as Differential Privacy to control systems. 

    More recently, I have been studying problems related to the control of wave energy converters (WECs) and the optimisation of their performance, particularly when organised into arrays or farms of WECs.
      

    Book Chapters

      Year Publication
    2011 'Inference of Protein Function from the Structure of Interaction Networks'
    Mason, O;Verwoerd, M;Clifford, P (2011) 'Inference of Protein Function from the Structure of Interaction Networks' In: STRUCTURAL ANALYSIS OF COMPLEX NETWORKS. BERLIN: SPRINGER-VERLAG BERLIN. [DOI] [Details]

    Peer Reviewed Journals

      Year Publication
    2020 'Observations on the bias of nonnegative mechanisms for differential privacy'
    Aisling Mc Glinchey and Oliver Mason (2020) 'Observations on the bias of nonnegative mechanisms for differential privacy'. AIMS Journal, 2 (4):429-442 [DOI] [Details]
    2020 'Some novel aspects of the positive linear observer problem: Differential privacy and optimal l1 sensitivity'
    Aisling Mc Glinchey and Oliver Mason (2020) 'Some novel aspects of the positive linear observer problem: Differential privacy and optimal l1 sensitivity'. Journal of the Franklin Institute, 357 (18):13923-13940 [DOI] [Details]
    2018 'Diagonal stability of a class of discrete-time positive switched systems with delay'
    Aleksandrov A.;Mason O. (2018) 'Diagonal stability of a class of discrete-time positive switched systems with delay'. IET Control Theory and Applications, 12 (6):812-818 [DOI] [full-text] [Details]
    2018 'Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius'
    Nicola Guglielmi, Oliver Mason and Fabian Wirth (2018) 'Barabanov norms, Lipschitz continuity and monotonicity for the max algebraic joint spectral radius'. LINEAR ALGEBRA AND ITS APPLICATIONS, 550 :37-58 [DOI] [full-text] [Details]
    2018 'On Diagonal Stability of Positive Systems with Switches and Delays'
    Aleksandrov, A. Yu.; Mason, O. (2018) 'On Diagonal Stability of Positive Systems with Switches and Delays'. Automation and Remote Control, 79 (12):2114-2127 [DOI] [full-text] [Details]
    2017 'Diagonal Riccati stability and the Hadamard product'
    A. Aleksandrov, O. Mason and A. Vorob'eva (2017) 'Diagonal Riccati stability and the Hadamard product'. LINEAR ALGEBRA AND ITS APPLICATIONS, 534 :158-173 [DOI] [full-text] [Details]
    2017 'Extreme points of the local differential privacy polytope'
    N. Holohan, D.J. Leith and O. Mason (2017) 'Extreme points of the local differential privacy polytope'. LINEAR ALGEBRA AND ITS APPLICATIONS, 534 :78-96 [DOI] [full-text] [Details]
    2017 'Optimal Differentially Private Mechanisms for Randomised Response'
    N. Holohan, D.J. Leith and O. Mason (2017) 'Optimal Differentially Private Mechanisms for Randomised Response'. IEEE Transactions on Information Forensics and Security, 12 (11):2726-2735 [DOI] [full-text] [Details]
    2016 'Diagonal Riccati stability and applications'
    Aleksandrov A.;Mason O. (2016) 'Diagonal Riccati stability and applications'. Linear Algebra and Its Applications, 492 :38-51 [DOI] [full-text] [Details]
    2016 'Cyclic interconnection for formation control of 1-D vehicle strings'
    Peters A.;Middleton R.;Mason O. (2016) 'Cyclic interconnection for formation control of 1-D vehicle strings'. European Journal of Control, 27 :36-44 [DOI] [full-text] [Details]
    2016 'Differentially private response mechanisms on categorical data'
    Holohan N.;Leith D.;Mason O. (2016) 'Differentially private response mechanisms on categorical data'. Discrete Applied Mathematics, 211 :86-98 [DOI] [full-text] [Details]
    2015 'The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields'
    Gursoy, BB;Kirkland, S;Mason, O;Sergeev, S (2015) 'The Markov Chain Tree Theorem in commutative semirings and the State Reduction Algorithm in commutative semifields'. Linear Algebra and Its Applications, 468 :184-196 [DOI] [Details]
    2015 'Differential privacy in metric spaces: Numerical, categorical and functional data under the one roof'
    Holohan, N;Leith, DJ;Mason, O (2015) 'Differential privacy in metric spaces: Numerical, categorical and functional data under the one roof'. Information Sciences, 305 :256-268 [DOI] [Details]
    2014 'Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay'
    A. Yu Aleksandrov and O. Mason (2014) 'Diagonal Lyapunov–Krasovskii functionals for discrete-time positive systems with delay'. Systems and Control Letters, 63 [DOI] [full-text] [Details]
    2014 'Leader tracking in homogeneous vehicle platoons with broadcast delays'
    Peters, AA;Middleton, RH;Mason, O (2014) 'Leader tracking in homogeneous vehicle platoons with broadcast delays'. Automatica, 50 :64-74 [DOI] [Details]
    2014 'Absolute stability and Lyapunov–Krasovskii functionals for switched nonlinear systems with time-delay'
    A. Yu Aleksandrov and O. Mason (2014) 'Absolute stability and Lyapunov–Krasovskii functionals for switched nonlinear systems with time-delay'. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLI, 351 [DOI] [full-text] [Details]
    2014 'Stability criteria for SIS epidemiological models under switching policies '
    M. Ait-Rami, V. Bokharaie, O. Mason and F. Wirth (2014) 'Stability criteria for SIS epidemiological models under switching policies '. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 19 [DOI] [full-text] [Details]
    2014 'Extremal norms for positive linear inclusions'
    Mason, O;Wirth, F (2014) 'Extremal norms for positive linear inclusions'. Linear Algebra and Its Applications, 444 :100-113 [DOI] [Details]
    2013 'The analytic hierarchy process, max algebra and multi-objective optimisation'
    Gursoy B.;Mason O.;Sergeev S. (2013) 'The analytic hierarchy process, max algebra and multi-objective optimisation'. Linear Algebra and Its Applications, 438 (7):2911-2928 [DOI] [Details]
    2013 'On the Markov Chain Tree Theorem in Max Algebra'
    B. Benek Gursoy, S. Kirkland, O. Mason and S. Sergeev (2013) 'On the Markov Chain Tree Theorem in Max Algebra'. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 26 [full-text] [Details]
    2013 'Information diffusion on the iterated local transitivity model of online social networks'
    Small, L;Mason, O (2013) 'Information diffusion on the iterated local transitivity model of online social networks'. Discrete Applied Mathematics, 161 :1338-1344 [DOI] [Details]
    2013 'Nash Equilibria for competitive information diffusion on trees'
    Small, L;Mason, O (2013) 'Nash Equilibria for competitive information diffusion on trees'. Information Processing Letters, 113 :217-219 [DOI] [Details]
    2012 'On the Kamke-Muller conditions, monotonicity and continuity for bi-modal piecewise-smooth systems'
    Y. O'Donoghue, O. Mason and R. Middleton (2012) 'On the Kamke-Muller conditions, monotonicity and continuity for bi-modal piecewise-smooth systems'. SYSTEMS & CONTROL LETTERS, 61 [DOI] [full-text] [Details]
    2012 'Diagonal Riccati Stability and Positive Time-Delay Systems'
    O. Mason (2012) 'Diagonal Riccati Stability and Positive Time-Delay Systems'. SYSTEMS & CONTROL LETTERS, 61 [DOI] [full-text] [Details]
    2011 'P1-max and S-max properties and asymptotic stability in the max algebra'
    B. Benek Gursoy and O. Mason (2011) 'P1-max and S-max properties and asymptotic stability in the max algebra'. LINEAR ALGEBRA AND ITS APPLICATIONS, 435 [DOI] [full-text] [Details]
    2011 'A Convergence Result for the Kuramoto Model with All-to-All Coupling'
    M. Verwoerd and O. Mason (2011) 'A Convergence Result for the Kuramoto Model with All-to-All Coupling'. SIAM JOURNAL OF APPLIED DYNAMICAL SYSTEMS, 10 [DOI] [full-text] [Details]
    2011 'Stability and positivity of equilibria for subhomogeneous cooperative systems'
    V. S. Bokharaie, O. Mason and F. Wirth (2011) 'Stability and positivity of equilibria for subhomogeneous cooperative systems'. To be added, 74 [DOI] [full-text] [Details]
    2011 'Spectral Properties of Matrix Polynomials in the Max Algebra '
    Benek Gursoy, B. and O. Mason (2011) 'Spectral Properties of Matrix Polynomials in the Max Algebra '. LINEAR ALGEBRA AND ITS APPLICATIONS, 435 [DOI] [full-text] [Details]
    2011 'Correction to D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems'
    V. S. Bokharaie, O. Mason and M. Verwoerd (2011) 'Correction to D-Stability and Delay-Independent Stability of Homogeneous Cooperative Systems'. IEEE TRANSACTIONS ON AUTOMATIC CONTROL  , 56 [DOI] [full-text] [Details]
    2010 'D-Stability and Delay-independent stability of homogeneous cooperative systems'
    V. S. Bokharaie, O. Mason and M. Verwoerd (2010) 'D-Stability and Delay-independent stability of homogeneous cooperative systems'. IEEE TRANSACTIONS ON AUTOMATIC CONTROL  , 55 [DOI] [full-text] [Details]
    2010 'Quadratic Lyapunov functions for systems with state-dependent switching'
    Griggs, WM;King, CK;Shorten, RN;Mason, O;Wulff, K (2010) 'Quadratic Lyapunov functions for systems with state-dependent switching'. Linear Algebra and Its Applications, 433 :52-63 [DOI] [Details]
    2009 'General Inertia and Circle Criterion'
    Solmaz, S., Mason, O. and Shorten, R. (2009) 'General Inertia and Circle Criterion'. PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS, 6 :845-845 [full-text] [Details]
    2009 'An elementary proof of the Barker, Berman, Plemmons result on diagonal stability and extensions '
    Shorten, R.N., O. Mason, C. King (2009) 'An elementary proof of the Barker, Berman, Plemmons result on diagonal stability and extensions '. LINEAR ALGEBRA AND ITS APPLICATIONS, 431 :34-40 [full-text] [Details]
    2009 'On computing the critical coupling coefficient for the Kuramoto model on a complete Bipartite graph'
    Verwoerd, M. and Mason, O. (2009) 'On computing the critical coupling coefficient for the Kuramoto model on a complete Bipartite graph'. SIAM JOURNAL OF APPLIED DYNAMICAL SYSTEMS, 8 [full-text] [Details]
    2009 'Observations on the Stability Properties of Cooperative Systems'
    Mason, O. and Verwoerd, M. (2009) 'Observations on the Stability Properties of Cooperative Systems'. SYSTEMS & CONTROL LETTERS, 58 [full-text] [Details]
    2009 'On linear co-positive Lyapunov functions for sets of linear positive systems'
    Knorn, F;Mason, O;Shorten, R (2009) 'On linear co-positive Lyapunov functions for sets of linear positive systems'. Automatica, 45 :1943-1947 [DOI] [Details]
    2008 'Global phase-locking in finite populations of phase-coupled oscillators'
    M. Verwoerd and O. Mason (2008) 'Global phase-locking in finite populations of phase-coupled oscillators'. SIAM JOURNAL OF APPLIED DYNAMICAL SYSTEMS, 7 :134-160 [full-text] [Details]
    2008 'Switching Stability of Automotive Roll Dynamics Subject to Interval Uncertainty'
    Solmaz S., Shorten R., and Mason O. (2008) 'Switching Stability of Automotive Roll Dynamics Subject to Interval Uncertainty'. PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS, 8 :10921-10922 [full-text] [Details]
    2008 'The Role of Control and System Theory in Systems Biology'
    P. Wellstead, E. Bullinger, D. Kalamatianos, O. Mason and M. Verwoerd (2008) 'The Role of Control and System Theory in Systems Biology'. Annual Reviews in Control, 32 :33-47 [full-text] [Details]
    2007 'On the stability of switched positive linear systems'
    Gurvits, L;Shorten, R;Mason, O (2007) 'On the stability of switched positive linear systems'. IEEE Transactions on Automatic Control, 52 :1099-1103 [DOI] [Details]
    2007 'Graph Theory and Networks in Biology'
    O. Mason and M. Verwoerd (2007) 'Graph Theory and Networks in Biology'. IET SYSTEMS BIOLOGY, 1 :89-119 [full-text] [Details]
    2007 'On linear copositive Lyapunov functions and the stability of switched positive linear systems'
    Mason, O;Shorten, R (2007) 'On linear copositive Lyapunov functions and the stability of switched positive linear systems'. IEEE Transactions on Automatic Control, 52 :1346-1349 [DOI] [Details]
    2007 'Stability Criteria for Switched and Hybrid Systems'
    Shorten, R., Wirth, F., Mason, O., Wulff, K. and King, C. (2007) 'Stability Criteria for Switched and Hybrid Systems'. SIAM REVIEW, 49 :545-592 [full-text] [Details]
    2007 'Some results on quadratic stability of switched systems with interval uncertainty'
    Zeheb, E;Mason, O;Solmaz, S;Shorten, R (2007) 'Some results on quadratic stability of switched systems with interval uncertainty'. International Journal of Control, 80 :825-831 [DOI] [Details]
    2007 'On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia'
    O. Mason, R. Shorten and S. Solmaz (2007) 'On the Kalman-Yakubovich-Popov lemma and common Lyapunov solutions for matrices with regular inertia'. LINEAR ALGEBRA AND ITS APPLICATIONS, 420 :183-197 [full-text] [Details]
    2006 'Discussion on: Multi-layer switching control using generalized sampled-data hold functions'
    Verwoerd M.;Mason O. (2006) 'Discussion on: Multi-layer switching control using generalized sampled-data hold functions'. European Journal of Control, 12 (5):500-503 [DOI] [full-text] [Details]
    2006 'On the simultaneous diagonal stability of a pair of positive linear systems'
    Mason, O;Shorten, R (2006) 'On the simultaneous diagonal stability of a pair of positive linear systems'. Linear Algebra and Its Applications, 413 :13-23 [DOI] [Details]
    2006 'General Inertia and Circle Criterion'
    Solmaz S., Mason O., Shorten R. (2006) 'General Inertia and Circle Criterion'. PROCEEDINGS IN APPLIED MATHEMATICS AND MECHANICS, 6 :845-846 [full-text] [Details]
    2005 'The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem'
    Mason O.;Shorten R. (2005) 'The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem'. Electronic Journal of Linear Algebra, 12 :42-63 [Details]
    2004 'A unifying framework for the Circle Criterion and other quadratic stability criteria'
    R.N. Shorten, O. Mason, F. Cairbre and P. Curran (2004) 'A unifying framework for the Circle Criterion and other quadratic stability criteria'. INTERNATIONAL JOURNAL OF CONTROL, 77 :1-8 [full-text] [Details]
    2004 'On common quadratic Lyapunov functions for stable discrete-time LTI systems'
    Mason O.;Shorten R. (2004) 'On common quadratic Lyapunov functions for stable discrete-time LTI systems'. IMA Journal of Applied Mathematics, 69 (3):271-283 [DOI] [full-text] [Details]
    2003 'A note on common quadratic Lyapunov functions'
    Shorten, R. and Narendra, K. S. and O. Mason (2003) 'A note on common quadratic Lyapunov functions'. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 48 :110-113 [full-text] [Details]
    2003 'Issues in the design of switched linear control systems: A benchmark study'
    Leith, DJ;Shorten, RN;Leithead, WE;Mason, O;Curran, P (2003) 'Issues in the design of switched linear control systems: A benchmark study'. International Journal of Adaptive Control and Signal Processing, 17 :103-118 [DOI] [Details]

    Conference Publications

      Year Publication
    2018 Bounding the L2 sensitivity of positive linear observers
    Aisling McGlinchey and Oliver Mason (2018) Bounding the L2 sensitivity of positive linear observers European Control Conference [Details]
    2017 Persistence, Periodicity and Privacy for Positive Systems in Epidemiology and Elsewhere
    Mason, O.;Mc Glinchey, A.; Wirth, F. (2017) Persistence, Periodicity and Privacy for Positive Systems in Epidemiology and Elsewhere 5th International Symposium on Positive Systems, Lecture Notes in Control and Information Sciences, 471: 3--15 [Details]
    2017 Differential privacy and the L1 sensitivity of positive linear observers
    McGlinchey, A.; Mason, O. (2017) Differential privacy and the L1 sensitivity of positive linear observers IFAC World Congress [DOI] [full-text] [Details]
    2016 Leader following with non-homogeneous weights for control of vehicle formations
    Peter, A.A; Mason, O; Middleton, R.H. (2016) Leader following with non-homogeneous weights for control of vehicle formations Control Applications (CCA), 2016 IEEE Conference on [full-text] [Details]
    2014 Cyclic interconnection in 1-D vehicle formation control
    Peters A.;Mason O.;Middleton R. (2014) Cyclic interconnection in 1-D vehicle formation control 2014 European Control Conference, ECC 2014 , pp.1548-1553 [DOI] [Details]
    2012 Extremal norms for positive linear inclusions
    Mustafa Ait Rami, Vahid S. Bokharaie, Oliver Mason, Fabian Wirth (2012) Extremal norms for positive linear inclusions Mathematical Theory of Networks and Systems (MTNS) [Details]
    2010 A geometrical treatment for obtaining necessary and sufficient conditions for joint quadratic Lyapunov function existence for state-dependent, switched systems: a two-dimensional case.
    Griggs, W.M., C.K. King, R.N. Shorten, O. Mason and K. Wulff (2010) A geometrical treatment for obtaining necessary and sufficient conditions for joint quadratic Lyapunov function existence for state-dependent, switched systems: a two-dimensional case. Proceedings of the 17th Mediterranean Conference on Control and Automation , pp.1337-1342 [full-text] [Details]
    2010 Spread of epidemics in time-dependent networks
    Vahid Bokharaie, Oliver Mason and Fabian Wirth (2010) Spread of epidemics in time-dependent networks Mathematical Theory of Networks and Systems (MTNS) [full-text] [Details]
    2010 On the D-Stability of Linear and Nonlinear Positive Switched Systems
    Vahid Bokharaie, Oliver Mason and Fabian Wirth (2010) On the D-Stability of Linear and Nonlinear Positive Switched Systems Mathematical Theory of Networks and Systems (MTNS) [full-text] [Details]
    2009 Applications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems
    Knorn, F., O. Mason, R. Shorten (2009) Applications of Linear Co-positive Lyapunov Functions for Switched Linear Positive Systems Third Multidisciplinary International Symposium on Positive Systems: Theory and Application POSTA’09, 2-4 September 2009, Valencia, Spain [full-text] [Details]
    2009 Stability and D-stability for Switched Positive Systems
    Mason, O., V.S. Bokharaie and R. Shorten (2009) Stability and D-stability for Switched Positive Systems Proc. POSTA 2009, Valencia, Spain [full-text] [Details]
    2007 On the growth of the largest component in duplication-divergence models of protein interaction networks
    T. Rutjes, O. Mason and M. Verwoerd (2007) On the growth of the largest component in duplication-divergence models of protein interaction networks Proceedings of the 2nd Conference on the Foundations of Systems Biology in Engineering (FOSBE), Stuttgart, Germany , pp.65-70 [Details]
    2007 Quadratic and Copositive Lyapunov Functions and the Stability of Positive Switched Linear System
    O. Mason and R. Shorten (2007) Quadratic and Copositive Lyapunov Functions and the Stability of Positive Switched Linear System Proc. American Control Conference, New York City, USA, July 11-13, 2007 , pp.657-662 [full-text] [Details]
    2007 Conditions for the Existence of Fixed Points in a Finite System of Coupled Oscillators
    M. Verwoerd and O. Mason (2007) Conditions for the Existence of Fixed Points in a Finite System of Coupled Oscillators Proceedings of the American Control Conference, New York, 2007 , pp.4613-4618 [full-text] [Details]
    2005 On the quadratic stability of switched interval systems: Preliminary results
    Zeheb E. , Mason O. , Solmaz S. , and Shorten R. (2005) On the quadratic stability of switched interval systems: Preliminary results Proceedings of the 2005 IEEE International Symposium on, Mediterrean Conference on Control and Automation , pp.12-17 [full-text] [Details]
    2005 Convex cones, Lyapunov functions and the stability of switched linear systems
    R. Shorten, O. Mason and K.Wulff (2005) Convex cones, Lyapunov functions and the stability of switched linear systems LNCS 3355-Switching and Learning in Feedback Systems. European Summer School on Multi-Agent Control, Maynooth, Ireland, September 8-10, 2003 [full-text] [Details]
    2005 Control of yaw rate and sideslip in 4-wheel steering cars with actuator constraints
    M. Vilaplana, O. Mason, D. Leith and and W. Leithead (2005) Control of yaw rate and sideslip in 4-wheel steering cars with actuator constraints LNCS 3355-Switching and Learning in Feedback Systems. European Summer School on Multi-Agent Control, Maynooth, Ireland, September 8-10, 2003 , pp.201-222 [full-text] [Details]
    2005 Towards a systems understanding of the cerebral motor circuit
    P. Wellstead, O. Mason, W.T. O'Connor, K-H. Cho, E. Bullinger, O. Wolkenhauer, and S. Duncan (2005) Towards a systems understanding of the cerebral motor circuit Proc. Foundations of Systems Biology FOSBE 2005, August 7-10, Santa Barbara, CA, USA , pp.185-188 [Details]
    2004 Some results on the stability of positive switched linear systems
    O. Mason and R. Shorten (2004) Some results on the stability of positive switched linear systems IEEE Conference on Decision and Control [full-text] [Details]
    2004 Nonlinear Control of Four-Wheel Steering Cars with Actuator Constraints
    Vilaplana,M., Mason.O., Leith, D.J., Leithead,W.E., Kalkkuhl, J., (2004) Nonlinear Control of Four-Wheel Steering Cars with Actuator Constraints Proc. NOLCOS 2004, Stuttgart [full-text] [Details]
    2004 Preliminary results on the stability of switched positive linear systems
    L. Gurvits, R. Shorten and O. Mason (2004) Preliminary results on the stability of switched positive linear systems Proc. Mathematical Theory of Networks and Systems, Leuven [Details]
    2003 A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems
    O. Mason and R. N. Shorten (2003) A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems AMERICAN CONTROL CONFERENCE [full-text] [Details]
    2003 A unifying framework for the Circle Criterion and other quadratic stability criteria
    R. N. Shorten, O. Mason, F. Ó Cairbre and P. Curran (2003) A unifying framework for the Circle Criterion and other quadratic stability criteria EUROPEAN CONTROL CONFERENCE [full-text] [Details]
    2003 On common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems
    O. Mason and R.N. Shorten (2003) On common quadratic Lyapunov functions for pairs of stable discrete-time LTI systems AMERICAN CONTROL CONFERENCE [Details]
    2003 On the existence of common quadratic Lyapunov functions for single input single output systems
    R. Shorten, K. S. Narendra, O. Mason and K. Wulff (2003) On the existence of common quadratic Lyapunov functions for single input single output systems PROCEEDINGS OF 12TH YALE WORKSHOP ON ADAPTIVE AND LEARNING SYSTEMS [Details]
    2002 A Wind Turbine Benchmark for Hybrid System Analysis and Design
    Leith,D., Shorten,R., Leithead,W.E., Mason,O., Curran,P. (2002) A Wind Turbine Benchmark for Hybrid System Analysis and Design Proc IFAC World Congress, Barcelona [Details]

    Conference Contributions

      Year Publication
    2009 POSTA 2009.
    (2009) POSTA 2009. [Oral Presentation], Stability and D-stability for positive switched sy, Valencia, Spain [Details]
    2009 Systems Biology Mini-Course.
    (2009) Systems Biology Mini-Course. [Oral Presentation], Switched and Positive Systems, Norwegian Univ. of Life Science [Details]

    Book Review

      Year Publication
    2008 The Role of Control and System Theory in Systems Biology.
    P. Wellstead, E. Bullinger, D. Kalamatianos, O. Mason and M. Verwoerd (2008) The Role of Control and System Theory in Systems Biology. Book Review [full-text] [Details]

    Committees

      Committee Function From / To
    International Workshop on Systems Biology Member of Organizing Committee 2006 /
    International Workshop on Systems Biology Member of Organizing Committee 2008 /
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2014 / 2014
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2016 / 2016
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2018 / 2018
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2015 / 2015
    Technical Programme Committee (TPC) for Privacy in Statistical Databases Reviewer and Programme Committee Member 2016 / 2016
    Technical Programme Committee for International Symposium on Positive Systems Reviewer and Programme Committee Member 2016 / 2016
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2013 / 2013
    Hamilton Institute Workshop on Nonnegative matrices Member of Organizing Committee 2004 /
    Hamilton Institute Workshop on Nonnegative matrices Member of Organizing Committee 2008 /
    Technical Programme Committee (TPC) member of International Symposium on Models and Algorithms for the World Wide Web Reviewer and Programme Committee Member 2017 / 2017

    Teaching Interests

    I teach a variety of modules in the Department of Mathematics and Statistics.  The modules I currently teach and have taught in the past include: Numerical Analysis; Mathematical Biology; Ordinary Differential Equations; Coding Theory; Differential Calculus; Abstract Algebra; and Foundations of Euclidean Geometry. 

    I am interested in combining theoretical material with practical computational implementations and have also taught on the graduate module HM811:"Computational Tools for Research" for a number of years.