Construction of the Lyapunov–Krasovskii Functionals for some Classes of Positive Delay Systems
- Authors: Aleksandrov A.Y.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 59, No 5 (2018)
- Pages: 753-762
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172007
- DOI: https://doi.org/10.1134/S0037446618050014
- ID: 172007
Cite item
Abstract
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.
About the authors
A. Yu. Aleksandrov
St. Petersburg State University
Author for correspondence.
Email: a.u.aleksandrov@spbu.ru
Russian Federation, St. Petersburg