余珮琳;崔瑶;程培;

• 1:安徽大学数学科学学院

摘要(Abstract)：

基于离散时间状态观测,研究混杂随机系统的几乎必然指数镇定.在扩散项和漂移项中同时加入反馈控制器,通过选取适当的Lyapunov函数,利用Markov链的平稳分布和稳定性分析的方法,得到混杂随机系统的几乎必然指数镇定,再通过含有线性反馈控制器系统的稳定性来说明所得结果的可行性.

关键词(KeyWords)： 混杂随机系统;离散时间观测;Lyapunov函数;几乎必然指数镇定;p阶矩指数稳定

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目(11771001)资助

作者(Authors): 余珮琳;崔瑶;程培;

DOI: 10.16375/j.cnki.cn45-1395/t.2019.02.017

参考文献(References)：

• [1]孙云霞,程培,李殿强,等.脉冲随机Cohen-Grossberg神经网络的几乎必然指数稳定性[J].广西科技大学学报,2017,28(2):42-47.
• [2]高远.混沌系统的参数微扰随机脉冲控制[J].广西工学院学报,2004,15(2):14-18.
• [3]QIU Q W,LIU W,HU L J,et al.Stabilization of stochastic differential equations with markovian switching by feedback control based on discretetime state observation with a time delay[J].Statistics&Probability Letters,2016,115:16-26.
• [4]YIN G,XI F B.Stability of regime-switching jump diffusions[J].SIAM journalon control and optimization,2010,48(7):4525-4549.
• [5]ZHANG D F,CHEN Z J.Exponential stability for stochastic differential equation driven by G-Brownian motion[J].Applied Mathematics Letters,2012,25(11):1906-1910.
• [6]DONG R,MAO X R.On pth moment stabilization of hybrid system sby discrete-time feedback control[J].Stochastic Analysis and Applications,2017,35(1):1-20.
• [7]ZHU Q X,ZHANG Q Y.Pth moment exponential stabilisation of hybrid stochastic differential equations by feedback controls based on discretetime state observations with a time delay[J].Iet Control Theory&Applications,2017,11(12):1992-2003.
• [8]LI Y Y,LU J Q,MAO X R,et al.Stabilization of hybrid systems by feedback control based on discrete-time state and mode observations[J].Asian Journal of Control,2017,19(2):1943-1953.
• [9]PENG S G,ZHANG Y,YU S M.Global mean-square exponential stabilization of stochastic system with time delay via impulsive control[J].Asian Journal of Control,2012,14(1):288-299.
• [10]MAO X R.Stabilization of continuous-time hybrid stochastic differential equations by discrete-time feedback control[J].Automatica,2013,49(12):3677-3681.
• [11]MAO X R,LIU W,HU L J,et al.Stabilization of hybrid stochastic differential equations by feedback control based on discrete-time state observations[J].Systems&Control Letters,2014,73:88-95.
• [12]MAO X R,YIN G G,YUANC G.Stabilization and destabilization of hybrid systems of stochastic differential equations[J].Automatica,2007,43(2):264-273.
• [13]DONG R.Almost sure exponential stabilization by stochastic feedback control based on discrete-time observations[J].Stochastic Analysis Applications,2018,36(4):561-583.
• [14]SONG G F,LU Z Y,ZHENG B C,et al.Almost sure stabilization of hybrid systems by feedback control based on discrete-time observations of mode and state[J].Science China Information Sciences,2018,61(7):130-145.

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