Exponential Stability Analysis for Linear Distributed Parameter Systems with Time-Varying Delay
This paper investigates exponential stability of time-delay distributed parameter systems in the Hilbert space. With the aid of delay decomposition methods, a novel Lyapunov-Krasovskii functional in the form of linear operator inequalities (LOIs) is proposed. Then, the suf.cient conditions guaranteeing exponential stability of systems are obtained by the Lapunov-Krasovskii theory. Furthermore, our results are applied to the time-delay heat equation with the Dirichlet boundary condition. A numerical simulation to the heat equation is given to illustrate the effectiveness of the theoretical analysis.
GUO Ling NIAN Xiaohong PAN Huan
School of Information Science and Engineering, Central South University, Changsha, 410075, P.R.China
国际会议
The 30th Chinese Control Conference(第三十届中国控制会议)
烟台
英文
1-6
2011-07-01（万方平台首次上网日期，不代表论文的发表时间）