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Delay-dependent stability for discrete systems with large delay sequence based on switching techniques
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DOI：10.1016/j.automatica.2008.04.006.png)
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This paper considers the exponential stability problem for a class of discrete time-varying delay systems with large delay sequences (LDSs). A new method based on a switching technique is presented to solve this problem. A switched delay system, in which one of the discrete subsystems may be unstable, is firstly employed to describe such a system, and then some new concepts about LDSs are introduced. Next, using a novel piecewise Lyapunov functional, explicit delay-dependent conditions are developed to show how long and how frequent the LDSs can be and still maintain the system exponentially stable. Without LDSs, the criterion obtained in this paper includes the established one as a special case. Two numerical examples are given to show the effectiveness of the proposed method. (C) 2008 Elsevier Ltd. All rights reserved.
Keyword:
Discrete systems
Delay-dependent criteria
Piecewise Lyapunov functional
Switching method
Large delay sequence
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IF:
5.9
论文数:
1.2W
被引数:
5.2W
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