首页 | 本学科首页   官方微博 | 高级检索  
     检索      

具有分离变量的非线性随机时滞相关系统的鲁棒稳定
引用本文:刘碧玉,李美兰,韩旭里.具有分离变量的非线性随机时滞相关系统的鲁棒稳定[J].数学理论与应用,2008,28(2):14-18.
作者姓名:刘碧玉  李美兰  韩旭里
作者单位:中南大学数学科学与计算技术学院,中南大学数学科学与计算技术学院,中南大学数学科学与计算技术学院 长沙,410083,长沙,410083,长沙,410083
基金项目:This work has been supported by the postdoctoral science foundation of Central South University and foundation of China (20070410990).
摘    要:本文研究一类具有分离变量的非线性随机不确定系统的稳定性问题。采用线性矩阵不等式(LMI)和Lyapunov—Krasovskii泛函的方法,获得了局部指数稳定性的时滞盯关性判据。仿真结果证明了结论的可行性和优越性。

关 键 词:非线性时滞系统  局部指数均方稳定  线性矩阵不等式(LMI)  Lyapunov—Krasovskii泛函

Robust Delay-Dependent Stability of Nonlinear Stochastic Systems with Separated Variables
Biyu Liu Meilan Li Xuli Han.Robust Delay-Dependent Stability of Nonlinear Stochastic Systems with Separated Variables[J].Mathematical Theory and Applications,2008,28(2):14-18.
Authors:Biyu Liu Meilan Li Xuli Han
Institution:(School of Mathematical Science and Computing Technology, Central South University,410083)
Abstract:Nonlinear and uncertain stochastic delay systems with separated variables are considered in this paper.By using Linear Matrix Inequality (LMI) method and Lyapunov-Krasovskii functional approach,a robust delay-dependent criterion is obtained to ensure locally exponential stability in mean square of the uncertain nonlinear stochastic delay systems.
Keywords:Nonlinear stochastic delay systems locally exponential stability in mean square LMI
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号