Globally uniformly asymptotical stabilisation of time-delay nonlinear systems

Xiushan Cai, Zhengzhi Han and Wei Zhang

International Journal of Systems Science, 2011, vol. 42, issue 7, 1175-1183

Abstract: Globally uniformly asymptotical stabilisation of nonlinear systems in feedback form with a delay arbitrarily large in the input is dealt with based on the backstepping approach in this article. The design strategy depends on the construction of a Lyapunov–Krasovskii functional. A continuously differentiable control law is obtained to globally uniformly asymptotically stabilise the closed-loop system. The simulation shows the effectiveness of the method.

Date: 2011
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DOI: 10.1080/00207720903353567

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