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

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 obtai...

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Bibliographic Details
Published in:Siberian mathematical journal 2018-09, Vol.59 (5), p.753-762
Main Author: Aleksandrov, A. Yu
Format: Article
Language:English
Subjects:
Delay
Mathematics
Mathematics and Statistics
Nonlinear systems
Stability
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Summary: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.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446618050014