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Journal Articles Automatica Year : 2008

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

Frédéric Mazenc
Zongli Lin
  • Function : Author

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.

Dates and versions

hal-00857808 , version 1 (04-09-2013)

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Frédéric Mazenc, Michael Malisoff, Zongli Lin. Further results on input-to-state stability for nonlinear systems with delayed feedbacks. Automatica, 2008, 44 (9), pp.2415-2421. ⟨10.1016/j.automatica.2008.01.024⟩. ⟨hal-00857808⟩
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