Decentralised adaptive output feedback stabilisation for stochastic time-delay systems via LaSalle-Yoshizawa-type theorem |
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Authors: | Ticao Jiao Junwei Lu Yunliang Wei Yun Zou |
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Affiliation: | 1. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, P. R. China;2. School of Electrical and Automation Engineering, Nanjing Normal University, 78 Bancang Street, Nanjing 210042, P. R. China |
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Abstract: | This paper deals with the decentralised output feedback stabilisation problem for a class of large-scale stochastic time-delay nonlinear systems. A general theorem is firstly given to guarantee the global existence and uniqueness of the solution for stochastic time-delay systems. In addition, a stochastic version of the well-known LaSalle-Yoshizawa theorem with time-varying delay is initially proposed for the controller design and stability analysis. Then, for a class of large-scale stochastic systems with time-varying delays, totally decentralised adaptive delay-dependent controllers are designed by using K-filter and backstepping approach. Via LaSalle-Yoshizawa-type theorem and constructing a general Lyapunov function, it is shown that all signals in the closed-loop system are bounded almost surely and the solution is almost surely asymptotically stable. Finally, a simulation example is given to illustrate the effectiveness of the results of this paper. |
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Keywords: | decentralised stabilisation stochastic systems LaSalle-Yoshizawa-type theorem output feedback time-delay |
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