Stability analysis of discrete-time systems with slowly time-varying parameters using descriptor form

摘要

It is well known that the parameter-dependent Lyapunov function is effective for analyzing slowly time-varying systems. But this method assumes that the system and the Lyapunov function depend affinely or polynomially on varying parameters in order to obtain computable condition. So we relax these assumptions. We propose a method of stability analysis for discrete-time system whose coefficient matrices depend rationally on varying parameters by using descriptor representation.