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????????????Markov?л??????????????????????
引用本文:胡滨,焦贤发.????????????Markov?л??????????????????????[J].应用概率统计,2011,27(1):81-90.
作者姓名:胡滨  焦贤发
作者单位:?????????????
基金项目:教育部科学技术研究重大项目,合肥工业大学博士学位人员专项资助基金项目
摘    要:考察一类Markov切换时变时滞随机系统的均方指数稳定性. 利用基于Liapunov函数和线性矩阵不等式的方法, 给出了使状态反馈控制系统能克服不确定性和随机干扰, 在均方意义下达到指数稳定的充分条件. 当Markov链遍历所有模态时, 给出了一个独立于Markov链模态集的增益矩阵, 使得状态反馈控制系统均方指数稳定

关 键 词:随机系统  Markov切换  时变时滞  独立于模态集的状态反馈  均方指数稳定

Exponential Stabilization in Mean Square of Stochastic Systems with Delay and Markovian Switching via State-Feedback
HU BIN,JIAO XIANFA.Exponential Stabilization in Mean Square of Stochastic Systems with Delay and Markovian Switching via State-Feedback[J].Chinese Journal of Applied Probability and Statisties,2011,27(1):81-90.
Authors:HU BIN  JIAO XIANFA
Institution:School of Mathematics, Hefei University of Technology
Abstract:Exponential stabilization in mean square is investigated for a class of stochastic systems, where Markovian switching and time-varying delay is introduced. In order to guarantee the exponential stability in mean square for the system, a sufficient condition is derived using the method of Liapunov function and LMI. Furthermore, a kind of desirable gain matrix is designed to make the system the exponential stability in mean square by the state feedback. Finally, when the Markov chain goes around all its modes, a mode-independent gain matrix is presented to guarantee the exponential stability in mean square for this system
Keywords:Stochastic system  Markovian switching  time-varying delay  mode-independent state-feedback  exponential stability in meansquare
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