Exponential stabilisation of highly nonlinear neutral stochastic systems by variable-delay feedback control

被引:0
作者
Mingxuan Shen
Chen Fei
机构
[1] Ministry of Education,Key Laboratory of Advanced Perception and Intelligent Control of High
[2] Anhui Polytechnic University,end Equipment
[3] University of Shanghai for Science and Technology,School of Mathematics
来源
Advances in Continuous and Discrete Models | / 2023卷
关键词
Neutral stochastic systems; Highly nonlinear systems; Delay feedback control; Exponential stability; Lyapunov functional;
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摘要
This paper is devoted to dealing with the exponential stabilisation of highly nonlinear hybrid neutral stochastic differential equation (NSDE) by variable delay feedback control. There have been so far few results on the stabilization of variable delay stochastic systems by variable delay feedback control, although the stabilisation of neutral stochastic systems on the current state has been investigated. Finally, an illustrative example is provided for verifying our theoretical results.
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[1]  
Kolmanovskii V.(2003)Neutral stochastic differential delay equations with Markovian switching Stoch. Anal. Appl. 21 819-847
[2]  
Koroleva N.(2008)Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching Stoch. Process. Appl. 118 1385-1406
[3]  
Maizenberg T.(2016)Exponential stability for neutral stochastic Markov systems with time-varying delay and its applications IEEE Trans. Cybern. 46 1350-1362
[4]  
Mao X.R.(2017)Neutral stochastic functional differential equations with Lévy jumps under the local Lipschitz condition Adv. Differ. Equ. 2017 171-185
[5]  
Shen Y.(2019)Boundedness and stability of highly nonlinear hybrid neutral stochastic systems with multiple delays Sci. China Inf. Sci. 62 927-935
[6]  
Yuan C.G.(2017)Almost sure stability with general decay rate of neutral stochastic delayed hybrid systems with Lévy noise Nonlinear Anal. Hybrid Syst. 24 735-754
[7]  
Chen H.(2021)On exponential stability in mean square of neutral stochastic functional differential equations Syst. Control Lett. 154 1619-1624
[8]  
Shi P.(2008)Stabilisation of hybrid stochastic differential equations by delay feedback control Syst. Control Lett. 57 3677-3681
[9]  
Lim C.(2020)Advances in stabilisation of hybrid stochastic differential equations by delay feedback control SIAM J. Control Optim. 58 88-95
[10]  
Mao W.(2016)Almost sure exponential stabilization by discrete-time stochastic feedback control IEEE Trans. Autom. Control 61 724-740