Title

Further results on input-to-state stability for nonlinear systems with delayed feedbacks

Document Type

Article

Publication Date

9-1-2008

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. © 2008 Elsevier Ltd. All rights reserved.

Publication Source (Journal or Book title)

Automatica

First Page

2415

Last Page

2421

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