Abstract : We consider a class of nonlinear control systems for which stabilizing feedbacks and corresponding Lyapunov functions for the closed-loop systems are available. In the presence of feedback delays and actuator errors, we explicitly construct input-to-state stability (ISS) Lyapunov-Krasovskii functionals for the resulting feedback delayed dynamics, in terms of the available Lyapunov functions for the original undelayed dynamics, which establishes that the closed-loop systems are input-to-state stable (ISS) with respect to actuator errors. We illustrate our results using a generalized system from identification theory and other examples.
https://hal.inria.fr/hal-00857808 Contributor : Alain RapaportConnect in order to contact the contributor Submitted on : Wednesday, September 4, 2013 - 10:02:42 AM Last modification on : Wednesday, February 10, 2021 - 3:35:13 AM
Frédéric Mazenc, Michael Malisoff, Zongli Lin. Further results on input-to-state stability for nonlinear systems with delayed feedbacks. Automatica, Elsevier, 2008, 44 (9), pp.2415-2421. ⟨10.1016/j.automatica.2008.01.024⟩. ⟨hal-00857808⟩