Globally Asymptotic Stability of Stochastic Nonlinear Systems with Time-Varying Delays via Output Feedback Control
Keyword(s):
We address the problem of globally asymptotic stability for a class of stochastic nonlinear systems with time-varying delays. By the backstepping method and Lyapunov theory, we design a linear output feedback controller recursively based on the observable linearization for a class of stochastic nonlinear systems with time-varying delays to guarantee that the closed-loop system is globally asymptotically stable in probability. In particular, we extend the deterministic nonlinear system to stochastic nonlinear systems with time-varying delays. Finally, an example and its simulations are given to illustrate the theoretical results.
2015 ◽
Vol 2015
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pp. 1-8
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2019 ◽
Vol 17
(11)
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pp. 2807-2818
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2019 ◽
Vol 64
(1)
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pp. 359-364
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2021 ◽
pp. 1-13
2020 ◽
Vol 364
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pp. 124662
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Keyword(s):
2019 ◽
Vol 41
(16)
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pp. 4511-4520
2009 ◽
Vol 82
(9)
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pp. 1692-1705
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2003 ◽
Vol 48
(3)
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pp. 509-513
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