非线性广义系统的输入-状态稳定性  

Input-to-state stability of nonlinear descriptor systems

作　　者：马合保[1] 康会光[2] 

机构地区：[1]闽江学院数学系,福建福州350108 [2]安阳师范学院数学系,河南安阳455002

出　　处：《安徽大学学报（自然科学版）》2009年第2期9-11,共3页Journal of Anhui University(Natural Science Edition)

摘　　要：研究非线性广义系统的输入-状态稳定性问题.输入-状态稳定性是非线性控制系统的一个重要性质,基于非线性系统的输入-状态稳定性概念,给出非线性广义系统输入-状态稳定(ISS)的定义,并利用ISS-Lyapunov函数给出非线性广义系统输入-状态稳定的一个充分条件.The problem of input-to-state stability of nonlinear descriptor systems was discussed. The input-to-state stability was an important property for nonlinear control systems. The definition of input - to - state stability （ISS） of nonlinear descriptor systems was introduced in terms of the ISS concept of conventional nonlinear systems. And by using ISS-Lyapunov function, a sufficient condition for input - to - state stability of nonlinear descriptor systems was provided.

关 键 词：非线性广义系统 输入-状态稳定性 ISS-Lyapunov函数 

分 类 号：O231[理学—运筹学与控制论]