Global exponential stabilisation of a class of nonlinear time-delay systems

Amel Benabdallah and Nadhem Echi

International Journal of Systems Science, 2016, vol. 47, issue 16, 3857-3863

Abstract: This paper deals with the state and output feedback stabilisation problems for a family of nonlinear time-delay systems satisfying some relaxed triangular-type condition. The delay is supposed to be constant. Parameter-dependent control laws are used to compensate for the nonlinearities. Based on the Lyapunov–Krasovskii functionals, global exponential stability of the closed-loop systems is achieved. Finally, an extension to nonlinear time-varying delay systems is given.

Date: 2016
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DOI: 10.1080/00207721.2015.1135356

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