非线性奇摄动系统的小增益增长条件  

Small gain growth condition of nonlinear singularly perturbed systems

作　　者：汪志鸣[1] 戴浩晖[1] 王隔霞[1] 

机构地区：[1]华东师范大学数学系,上海200062

出　　处：《控制理论与应用》2007年第4期617-620,共4页Control Theory & Applications

基　　金：国家自然科学基金(10671069);上海市重点学科建设项目.

摘　　要：给出小增益增长条件使得在此条件下快慢子系统的渐近稳定性能够保证其原奇摄动系统的相应稳定性,并给出估计摄动参数的稳定界的解析表示及其应用例子.A small gain growth condition is presented in this paper, under which the asymptotic stability of nonlinear singularly perturbed systems is guaranteed by the asymptotic stability of its fast and slow subsystems. Moreover, an explicit and closed form of stability bound on perturbation parameter is provided, and some examples in applications are given to illustrate the condition.

关 键 词：渐近稳定 奇摄动系统 稳定界 半全局稳定 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]