Journal of Systems Engineering and Electronics ›› 2009, Vol. 20 ›› Issue (6): 1296-1300.
• CONTROL THEORY AND APPLICATION • Previous Articles Next Articles
Cai Xiushan, Wang Xiao & Xu Xiuling
Online:
Published:
Abstract:
This article deals with the uniformly globally asymptotic controllability of discrete nonlinear systems with disturbances. It is shown that the system is uniformly globally asymptotic controllability with respect to a closed set if and only if there exists a smooth control Lyapunov function. Further, it is obtained that the control Lyapunov function may be used to construct a feedback law to stabilize the closed-loop system. In addition, it is proved that for periodic discrete systems, the resulted control Lyapunov functions are also time periodic.
Cai Xiushan, Wang Xiao & Xu Xiuling. Asymptotic controllability of a class of discrete-time systems with disturbances?[J]. Journal of Systems Engineering and Electronics, 2009, 20(6): 1296-1300.
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