Stability analysis of switched stochastic nonlinear systems with state-dependent delay

This paper is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that t...

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Published inIEEE transactions on automatic control Vol. 69; no. 4; pp. 1 - 8
Main Authors Fan, Lina, Zhu, Quanxin, Zheng, Wei Xing
Format Journal Article
LanguageEnglish
Published New York IEEE 01.04.2024
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Control theory
Delay
Delays
Hybrid systems
multiple Lyapunov-Krasovskii functional
Nonlinear systems
Random variables
Stability
Stability analysis
State-dependent delay
Stochastic systems
stochastically weakly locally exponential stability
switched stochastic system
Switched systems
Switches
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Abstract This paper is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov-Krasovskii functionals and some novel stochastic analysis techniques, we obtain sufficient conditions for stochastically weakly locally exponential stability of the hybrid system. Two examples are provided to verify the correctness of the proposed results.
AbstractList This article is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with the state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov–Krasovskii functionals and some novel stochastic analysis techniques, we obtain sufficient conditions for stochastically weakly locally exponential stability of the hybrid system. Two examples are provided to verify the correctness of the proposed results.
This paper is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov-Krasovskii functionals and some novel stochastic analysis techniques, we obtain sufficient conditions for stochastically weakly locally exponential stability of the hybrid system. Two examples are provided to verify the correctness of the proposed results.
Author Zhu, Quanxin
Fan, Lina
Zheng, Wei Xing
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This article is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with the state-dependent...
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SubjectTerms Control theory
Delay
Delays
Hybrid systems
multiple Lyapunov-Krasovskii functional
Nonlinear systems
Random variables
Stability
Stability analysis
State-dependent delay
Stochastic systems
stochastically weakly locally exponential stability
switched stochastic system
Switched systems
Switches
Title Stability analysis of switched stochastic nonlinear systems with state-dependent delay
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