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On Input-to-State Stabilization of Switching Retarded Control Systems

This letter addresses input-to-state stabilization results for nonlinear switching retarded control systems. A methodology based on Fréchet differentiable Lyapunov-Krasovskii functionals is developed in order to compute input-to-state stabilizing controllers, with respect to actuator errors, for glo...

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Bibliographic Details
Published in:IEEE control systems letters 2024, Vol.8, p.1439-1444
Main Authors: Haidar, Ihab, Pepe, Pierdomenico
Format: Article
Language:English
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Summary:This letter addresses input-to-state stabilization results for nonlinear switching retarded control systems. A methodology based on Fréchet differentiable Lyapunov-Krasovskii functionals is developed in order to compute input-to-state stabilizing controllers, with respect to actuator errors, for globally asymptotically stabilizable systems. The problem of input-to-state practical stabilization is also investigated and an efficient method is proposed in this context. Two examples are reported in order to show the effectiveness of the proposed methodologies.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2024.3410628