University of Birmingham > Talks@bham > Optimisation and Numerical Analysis Seminars > Diagonal Lyapunov and Riccati stability with applications to switched and delay systems.

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

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  • UserOliver Mason (National University of Ireland, Maynooth)
  • ClockThursday 19 January 2017, 12:00-13:00
  • HouseUniversity 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.

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