具有非线性扰动的中立型系统的鲁棒稳定性  

Delay-independent Robust Stability for Neutral Systems with Nonlinear Perturbations

作　　者：李宏飞[1] 罗学波[1] 

机构地区：[1]西北工业大学应用数学系

出　　处：《西南师范大学学报（自然科学版）》2004年第4期539-544,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：国家重点基础研究发展计划基金资助项目(G1998030417);211项目.

摘　　要：研究了具有非线性扰动的中立型系统的鲁棒稳定性.通过Lyapunov Krasovskii泛函构造正定矩阵,使得标称中立型系统渐近稳定的条件下,得到了使具有非线性不确定扰动的中立型系统渐近稳定且与时滞量的大小无关的充分性判别准则,给出了鲁棒界的估计式.其算法归结为解一个线性矩阵不等式,消除了参数选取的随意性.并进行了举例说明.The robustness of a class of neutral systems with nonlinear perturbations is considered. By Lyapunov-Krasovskii functional and Lyapunov stability theory, the delay-independent stability conditions are derived, which are based on the asymptotically stability of the normal neutral systems. Some analytical methods are employed to investigate the bound on the perturbations so that the systems remain stable, and its computation is transformed to solve a LMI leading to the free parameters in the coupling Riccati equations do not need to be readjusted. Finally, numerical examples are given to demonstrate effective of our results.

关 键 词：中立型系统 非线性扰动 扰动界 鲁棒稳定性 线性矩阵不等式 

分 类 号：O175.13[理学—数学] O231.1[理学—基础数学]