离散广义系统稳定性分析

Analysis of Stability for Discrete Singular Systems

广义系统的稳定性、能控性、能观测性是控制系统的结构属性,而Lyapunov方法在控制系统的分析和设计中起着至关重要的作用.研究了离散广义系统的稳定性、能控(能观)性和Lyapunov方程有对称解3者之间的关系,并得到等价条件.

For singular systems, stability, controllability and observability are structure properties, and Lyapunov methods play important roles in analysis and design of control systems. In this paper, a generalized Lyapunov equation for discrete singular systems is applied to study the relationships between stability and controllability, stability and observability and some relative criteria are obtained.