Diagonal Lyapunov and Riccati stability with applications to switched and delay systems.

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• Oliver Mason (National University of Ireland, Maynooth)
• Thursday 19 January 2017, 12:00-13:00
• University House, 110.

If you have a question about this talk, please contact Sergey Sergeev.

Researchers have studied diagonal stability for linear time-invariant (LTI) systems for some time. An early, seminal result of Barker, Berman and Plemmons in the 1970’s provided necessary and sufficient conditions for the existence of diagonal solutions to the Lyapunov inequality. The associated diagonal Lyapunov functions are of importance in applications such as large scale systems, neural networks, and ecology and can be used to establish stronger forms of stability such as D-stability. In this talk, I will first describe older results and motivation before describing recent work on diagonal stability for systems subject to switching or time-delay. In particular, I will describe recent work on the existence of diagonal solutions to the algebraic Riccati equation and the relevance of these to the stability of time-delay systems.

This talk is part of the Optimisation and Numerical Analysis Seminars series.

This talk is included in these lists:

• Optimisation and Numerical Analysis Seminars
• School of Mathematics Events
• University House, 110

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