Construction of the Lyapunov–Krasovskii Functionals for some Classes of Positive Delay Systems

Сибирский математический журнал

A. Yu. Aleksandrov¹ 

[1] St. Petersburg State University

关键词: positive system;    distributed delay;    Lyapunov–Krasovskii functional;    diagonal stability;    switched system;    estimate of a solution;   

DOI  :  10.1134/S0037446618050014

学科分类：数学（综合）

来源: Izdatel stvo Instituta Matematiki Rossiiskoi Akademii Nauk

【 摘 要 】

A criterion is established for the diagonal stability of positive linear difference-differential systems with discrete and distributed delay. The problem is studied of existence of a common diagonal Lyapunov–Krasovskii functional for a family of these systems. The approach developed is used to obtain conditions of the absolute stability and estimates of the time of transient processes for nonlinear difference-differential systems with sector type nonlinearities.

【 授权许可】

CC BY