WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
Robust Stability of Uncertain Discrete-time State-Delayed Systems with State Saturation Nonlinearities
Authors: , ,
Abstract: This paper is concerned with the robust stability of a class of uncertain discrete-time systems with time- varying delays and state saturation nonlinearities. The saturation nonlinearities are assumed to be the standard saturation function, and the delay is allowed to be time-varying with known bounds. By applying the Lyapunov sta- bility theorem and the delay-fractioning approach, a suitable Lyapunov-Krasovskii functional and a non-negative scalar are constructed respectively. A delay-dependent criterion of the robust stability is given for the addressed systems. Finally, a numerical example is given to illustrate the effectiveness of the presented criterion.
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Keywords: Robust stability, Time-varying delay, State saturation nonlinearities, Lyapunov-Krasovskii functional, Delay-fractioning approach
Pages: 39-47
WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #5