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A Quantitative Estimate on the Stability Region of Discrete-Delay Singular Systems
离散滞后广义系统稳定域的定量估计

Keywords: singular systems,discrete_delay,uniform stability,uniform asymptotic stability,stability region,asymptotic stability region
广义系统
,离散滞后,一致稳定,一致渐近稳定,稳定区域,渐近稳定区域

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Abstract:

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.

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