A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems

This paper discusses discrete_delay singular systems by using Lyapunov's method and estimates the size of the uniformly stable region and asymptotic stability region around zero for discrete_delay singular systems. When the initial disturbance is in the stability region, the solution of the initial value problem of discrete_delay singular systems is uniformly stable; when the initial disturbance is in the asymptotic stability region, the solution of the initial value problem of discrete_delay singular systems approaches zero. A numerical simulation is given to illustrate the application of the obtained approach.