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Input-to-State Stability for complex dynamics: From global to almost global… and back

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If you have a question about this talk, please contact Alberto Padoan .

Classical Input-to-State Stability is a tool for modelling and characterizing robustness to exogenous disturbances for nonlinear systems with a globally asymptotically stable equilibrium. The theory nicely extends classical Lyapunov stability theory, while allowing to quantify the impact of disturbances. However, in its original formulation, it does not allow an easy extension to more complex dynamics, such as multiple stable equilibria or non-trivial attractors, such as limit cycles. We discuss several approaches to tackle this issue and present several recent results that allow to extend the ISS approach to nonlinear systems with decomposable omega-limit sets and evolving on a manifold without boundary.

This talk is part of the CUED Control Group Seminars series.

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