Discrete Razumikhin-type stability theorems for stochastic discrete-time delay systems |
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| Authors: | Xiaofeng Zong Dongxia Lei Fuke Wu |
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| Institution: | 1. School of Automation, China University of Geosciences, Wuhan, Hubei 430074, PR China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, PR China;3. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, PR China |
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| Abstract: | By using the Razumikhin-type technique, for stochastic discrete-time delay systems, this paper establishes the discrete Razumikhin-type theorems on the pth moment stability, the global pth moment stability and the pth moment exponential stability, respectively. The almost sure exponential stability is also investigated by using the pth moment exponential stability and the Borel–Cantelli lemma. As the applications of t he established theorems, stability of a special class of stochastic discrete-time delay systems, synchronization of the stochastic discrete-time delay dynamical networks and stabilization of a stochastic discrete-time linear delay time invariant system are examined. |
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| Keywords: | Corresponding author |
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