Dr. Oliver MasonHamilton Institute 

I was born in County Kerry in southwestern Ireland. As an undergraduate, I studied mathematics at Trinity College Dublin , won a foundation scholarship in 1993 and graduated in 1995 with a first class honours degree and a college gold medal. In 1998, I completed the M.Sc degree by research in mathematics at Trinity College Dublin on the topic of groupinvariant Hilbert spaces of analytic functions in several complex variables. The work of my masters thesis was carried out under the supervision of Dr. Richard Timoney.
After spending some time working on software for satellite communications and data management in industry, and lecturing mathematics at the Institute of Technology, Tallaght, I commenced work on a Ph.D degree at the Hamilton Institute, National University of Ireland, Maynooth under the supervision of Professor Robert Shorten in 2001. I graduated with a Ph.D in 2004 and my thesis topic was the Lyapunov stability of switched linear systems.
From 2004 to 2007 I was a member of the Systems Biology team at the Hamilton Institute. Currently, I am a faculty member and coordinator of graduate studies at the Hamilton Institute with particular responsibility for coordinating the graduate programme in network mathematics: a joint initiative with the CTVR in Trinity College, which has run each summer since 2008.
Control subject to privacy constraints.
Stability theory of positive and monotone dynamical systems and applications to epidemiology.
Max Algebra and its applications to ranking schemes.
Applications of graph theory in Biology and social network analysis.
Selected Publications
Data Privacy and ControlStability and positivity of equilibria for subhomogeneous cooperative systems, V.S. Bokharaie, O. Mason and F. Wirth, Nonlinear Analysis:Theory Methods and Applications, 74(17), pp. 64166426, 2011.
Correction to ``DStability and Delayindependent stability of homogeneous cooperative systems'', V. S. Bokharaie, O. Mason and M. Verwoerd, IEEE Transactions on Automatic Control, 56(6), pp. 1489, 2011
DStability and Delayindependent stability of homogeneous cooperative systems, V. S. Bokharaie, O. Mason and M. Verwoerd, IEEE Transactions on Automatic Control, 55(12), pp. 28822885, 2010
Quadratic Lyapunov functions for systems with statedependent switching, W. M. Griggs, C. K. King, R. N. Shorten, O. Mason and K. Wulff, Linear Algebra and its Applications, 433: 5263, 2010
On copositive linear Lyapunov functions for sets of linear positive systems, F. Knorn, O. Mason and R. Shorten, Automatica, 45(8): 19431947, 2009
Observations on the stability properties of cooperative systems, O. Mason and M. Verwoerd, Systems and Control Letters, 58: 461467, 2009
On computing the critical coupling coefficient for the Kuramoto model on a complete Bipartite graph, M. Verwoerd, O. Mason, SIAM Journal of Applied Dynamical Systems, 8(1): 417453, 2009
An elementary proof of the Barker, Berman, Plemmons result on diagonal stability and extensions, R. N. Shorten, O. Mason, C. King, Linear Algebra and its Applications, 431(1):3440, 2009
The role of control and systems theory in Systems Biology, P. Wellstead, E. Bullinger, D. Kalamatianos, O. Mason and M. Verwoerd, Annual Reviews in Control, 32:3347, 2008
Global phaselocking in finite populations of phasecoupled oscillators, M. Verwoerd and O. Mason, SIAM Journal of Applied Dynamical Systems, 7(1): 134160, 2008
Stability theory for switched and hybrid systems, R. N. Shorten, F. Wirth, O. Mason, K. Wulff, C. KingSIAM Review, 49(4): 545592, 2007
On the KalmanYakubovichPopov lemma and common Lyapunov solutions for matrices with regular inertia, O. Mason, R. Shorten and S. Solmaz, Linear Algebra and its Applications, 420, pp 183197, 2007
Some results on quadratic stability of switched systems with interval uncertainty, E. Zeheb, O. Mason, S. Solmaz and R. Shorten, International Journal of Control, 80 (6), 825831, 2007
On the stability of switched positive linear systems, L. Gurvits, R. Shorten and O. Mason, IEEE Transactions on Automatic Control, 52 (6), 10991103, 2007
On linear copositive Lyapunov functions and the stability of switched positive linear systems, O. Mason and R. Shorten, IEEE Transactions on Automatic Control, 52 (7), 13461349, 2007
Discussion on ``MultiLayer Switching Control using Generalized SampledData Hold Functions'', M. Verwoerd and O. Mason, European Journal of Control, 12 (5), 500504, 2006
On the simultaneous diagonal stability of a pair of positive linear systems, O. Mason and R. Shorten, Linear Algebra and its Applications, 413, pp 1323, 2006
A result on common quadratic Lyapunov functions, R.N. Shorten, K.S. Narendra and O. Mason, IEEE Transactions on Automatic Control, 48(1), pp 110113, 2003
A unifying framework for the Circle Criterion and other quadratic stability criteria, R.N. Shorten, O. Mason, F. O Cairbre and P. Curran, International Journal of Control 77(1), pp 18, 2004
The geometry of convex cones associated with the Lyapunov inequality and the common Lyapunov function problem, O. Mason and R. Shorten, Electronic Journal of Linear Algebra, 12:4263, 2005
Issues in the design of switched linear control systems: A benchmark study, D.J. Leith, R.N. Shorten, W.E. Leithead, O. Mason and P. Curran, International Journal of Adaptive Control and Signal Processing, 17, pp 103118, 2003
On common quadratic Lyapunov functions for stable discretetime LTI systems, O. Mason and R.N. Shorten, IMA Journal of Applied Maths, 59, pp 271283, 2004
Conference Publications
On common quadratic Lyapunov functions, R.N. Shorten, K.S. Narendra and O. Mason, IEEE Conference on Decision and Control, Las Vegas, 2002
On common quadratic Lyapunov functions for pairs of stable discretetime LTI systems, O. Mason and R.N. Shorten, American Control Conference, Denver, 2003
A conjecture on the existence of common quadratic Lyapunov functions for positive linear systems, O. Mason and R. N. Shorten, American Control Conference, Denver, 2003
A unifying framework for the Circle Criterion and other quadratic stability criteria, R. N. Shorten, O. Mason, F. O Cairbre and P. Curran, European Control Conference, Cambridge, 2003
A wind turbine benchmark for hybrid system analysis and design, D.J. Leith, W.E. Leithead, O. Mason and R.N. Shorten, IFAC World Congress, Barcelona, 2002
On the existence of common quadratic Lyapunov functions for single input single output systems, R. Shorten, K. S. Narendra, O. Mason and K. Wulff, Proceedings of the 12th Yale Workshop on Adaptive and Learning Systems, 2003
Preliminary results on the stability of switched positive linear systems, L. Gurvits, R. Shorten and O. Mason, Mathematical Theory of Networks and Systems (MTNS), Leuven, 2004
Some results on the stability of positive switched linear systems, O. Mason and R. Shorten, IEEE Conference on Decision and Control, 2004
Towards a Systems Understanding of the Cerebral Motor Circuit, P. Wellstead, O. Mason, W. O Connor, KH. Cho, E. Bullinger, O. Wolkenhauer and S. Duncan, Foundations of Systems Biology in Engineering (FOSBE), 2005
Graph Theory and Networks in Biology, O. Mason and M. Verwoerd, International Conference on Systems Biology, Yokohama, 2006
Protein Interaction Networks, Essentiality and Sensitivity, F. Knorn and O. Mason, Computational Methods in Systems Biology, Trento, 2006
Quadratic and Copositive Lyapunov Functions and the Stability of Positive Switched Linear Systems, O. Mason and R. Shorten, American Control Conference, 2007
Conditions for the Existence of Fixed Points in a Finite System of Coupled Oscillators, M. Verwoerd and O. Mason, American Control Conference, 2007
On the growth of the largest component in duplicationdivergence models of protein interaction networks, T. Rutjes, O. Mason and M. Verwoerd, Foundations of Systems Biology in Engineering (FOSBE), 2007
Necessary and Sufficient Conditions for Joint Quadratic Lyapunov Function Existence: The TwoDimensional Case, W. Griggs, C. King, R. Shorten, O. Mason and K. Wulff, Mediterranean Conference on Control and Automation, 2009
Stability and Dstability for switched positive systems, O. Mason, V. Bokharaie and R. Shorten, 3rd International Symposium on Positive Systems, POSTA, 2009
Applications of linear copositive Lyapunov functions for switched linear positive systems, F. Knorn, O. Mason and R. Shorten 3rd International Symposium on Positive Systems, POSTA, 2009
On the Dstability of linear and nonlinear positive switched systems, V. S. Bokharaie, O. Mason and F. Wirth, Mathematical Theory of Networks and Systems (MTNS), 2010
Spread of epidemics in timedependent networks, V. S. Bokharaie, O. Mason and F. Wirth, Mathematical Theory of Networks and Systems (MTNS), 2010
Book Chapters
Inference of protein function from the structure of interaction networks, O. Mason, M. Verwoerd and P. Clifford, to appear in "Structural Analysis of Complex Networks:Theory and Applications", Birkhauser, 2008
Convex cones, Lyapunov functions and the stability of switched linear systems, R. Shorten, O. Mason and K.Wulff, Chapter in "Switching and Learning in Feedback Systems", Springer LNCS 3355, 2005
Control of yawrate and sideslip in 4wheel steering cars with actuator constraints, M. Vila plana, O. Mason, D. Leith and W. Leithead, Chapter in "Switching and Learning in Feedback Systems", Springer LNCS 3355, 2005
Thesis
Selected Recent Presentations
Monotonicity and Riccati Differential Equations on Euclidean Jordan Algebras; Invited presentation at special session on positive systems, AIMS International Conference on Dynamical Systems, Differential Equations and Applications, TU Dresden, 2010
Hybrid and Positive Systems in Biology and Elsewhere; Invited lectures at CIGENE, Norwegian University of Life Sciences, 2009
Stability and Dstability for Positive Switched Systems; 3rd International Symposium on Positive Systems, Valencia, 2009
Structure and Dynamics in Systems Biology  An Overview of Activities at the Hamilton Institute; Seminar at University College Cork, April 2008
Cells, Signals and Synchronisation; Seminar at the University of Bristol, October 2007
Switched Systems and Positivity; Seminar at the Technical University of Berlin, January 2007
Lyapunov stability of timevarying positive linear systems; Seminar at the Free University of Berlin, November 2006
Theory and analysis of interaction networks; Systems Biology Workshop at NUI Maynooth, September 2005
Analysis of biological interaction networks: some recent results and open problems; Workshop on Data, Algorithms and Decisionmaking, Institute of Information Theory and Automation, Czech Academy of Sciences, Prague, December 2005
Switched linear systems and common quadratic Lyapunov functions; Seminar Series of the Mathematics Department, University of Limerick, October 2005.
I was a member of the organising committee of the Hamilton Institute workshop on Nonnegative matrices in 2004 and again in 2008.
I served on the organising committee of the 2006 International Workshop on Systems Biology and on the committee for the 2008 workshop.
I act as a reviewer for the IEEE Transactions on Automatic Control, the IEEE Transactions on Circuits and Systems, SIAM Journal of Control and Optimization, SIAM Journal of Matrix Analysis and its Applications, Linear Algebra and its Applications, IET Systems Biology and Systems and Control Letters. I also write reviews for Mathematical Reviews.
I was one of the principal organisers of the Hamilton Mathematics Challenge: an online maths contest for secondary school students.