Boundary Stabilization of Stochastic Delay Reaction-Diffusion Systems
作者单位：Department of MathematicsHarbin Institute of Technology at Weihai
会议名称：《第36届中国控制会议》
会议届次：36
主办单位：Dalian University of Technology;Systems Engineering Society of China (SESC);Technical Committee on Control Theory (TCCT), Chinese Association of Automation (CAA)
会议日期：2017年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070104[理学-应用数学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 071101[理学-系统理论] 0811[工学-控制科学与工程] 0701[理学-数学]
关 键 词：Stochastic Reaction-Diffusion Systems Delay Boundary Control Stabilization H Infinity Performance
摘 要：This paper considers the boundary stabilization of stochastic delay reaction-diffusion systems（SDRDSs）.We present the integral-form Lyapunov stability lemma for SDRDSs which provides the foundation of stability analysis for stochastic reaction-diffusion systems. Then, we design a boundary controller and obtain a criterion to guarantee the globally stochastically asymptotical stability of SDRDSs with Neumann boundary conditions. In addition, when the external disturbances enter in a given systems, we design a boundary controller and get the sufficient condition for the mean-square H∞ performance. Two numerical examples verifying the validity of the results are obtained in this paper.