Control Lyapunov Functionals and robust stabilization of nonlinear time-delay systems

Abstract

In this work, we provide necessary and sufficient Lyapunov-like conditions for the existence of a stabilizing feedback law for uncertain control systems described by Retarded Functional Differential Equations. A methodology for the construction of Control Lyapunov Functionals for uncertain triangular nonlinear time-delay systems is provided. Moreover, the method leads to the explicit design of robust nonlinear controllers for the class of time-delay nonlinear systems with a triangular structure.

DOI: 10.1109/CDC.2008.4738631

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Cite this paper

@inproceedings{Karafyllis2008ControlLF, title={Control Lyapunov Functionals and robust stabilization of nonlinear time-delay systems}, author={Iasson Karafyllis and Zhong-Ping Jiang}, booktitle={CDC}, year={2008} }