期刊论文详细信息
Сибирский математический журнал | |
Construction of the LyapunovâKrasovskii Functionals for some Classes of Positive Delay Systems | |
A. Yu. Aleksandrov1  | |
[1] St. Petersburg State University | |
关键词: positive system; distributed delay; LyapunovâKrasovskii 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 LyapunovâKrasovskii 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
【 预 览 】
Files | Size | Format | View |
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RO201910258381414ZK.pdf | 169KB | download |