非线性广义系统的局部输入-状态稳定性  

The Local Input-to-State Stability of Nonlinear Descriptor Systems

作　　者：马合保[1] 贤锋[1] 

机构地区：[1]闽江学院数学系,福建福州350108

出　　处：《江西师范大学学报（自然科学版）》2012年第4期347-349,共3页Journal of Jiangxi Normal University(Natural Science Edition)

摘　　要：利用LISS-Lyapunov函数研究非线性广义系统的局部输入-状态稳定性问题.根据局部输入-状态稳定性要求初始状态和输入在一定范围内变化,给出非线性广义系统的相应定义,得到非线性广义系统局部输入-状态稳定(LISS)的1个充分条件.The problem of local input-to-state stability （LISS） of nonlinear descriptor systems has been discussed by using LISS-Lyapunov ruction. The notion of LISS highlights the limited domain of inputs and the neighboring region of initial states. The definition of LISS of nonlinear descriptor systems has been introduced. And a sufficient condition for local input-to-state stability of nonlinear descriptor systems is got.

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

分 类 号：O231[理学—运筹学与控制论]