非线性广义系统的输入-状态稳定性

Input-to-state stability of nonlinear descriptor systems

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.