Converse Lyapunov Theorems for Infinite-Dimensional Nonlinear Switching Systems

Ihab Haidar1, Yacine Chitour2, Paolo Mason3, Mario Sigalotti4

  • 1ENSEA
  • 2Universit\'e Paris-Sud, CNRS, centralesupelec
  • 3CNRS, Laboratoire des Signaux et Systèmes, Supélec
  • 4INRIA Paris

Details

10:20 - 10:40 | Wed 11 Dec | Rhodes CD | WeA17.2

Session: Switched Systems I

Abstract

In this paper, we provide two converse Lyapunov theorems in the framework of nonlinear infinite-dimensional switching systems. Our results characterize uniform exponential stability with respect to the switching law through the existence of both coercive and non-coercive Lyapunov functionals. The starting point for our arguments is a generalization of the well-known Datko lemma to the case of nonlinear infinite-dimensional switching systems.