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Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks.

Authors :
Jin You
Shurong Sun
Source :
Nonlinear Analysis: Modeling & Control; 2022, Vol. 27 Issue 1, p102-120, 19p
Publication Year :
2022

Abstract

This paper investigates practical stability for a class of fractional-order impulsive control coupled systems with noninstantaneous impulses on networks. Using graph theory and Lyapunov method, new criteria for practical stability, uniform practical stability as well as practical asymptotic stability are established. In this paper, we extend graph theory to fractional-order system via piecewise Lyapunov-like functions in each vertex system to construct global Lyapunovlike functions. Our results are generalization of some known results of practical stability in the literature and provide a new method of impulsive control law for impulsive control systems with noninstantaneous impulses. Examples are given to illustrate the effectiveness of our results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13925113
Volume :
27
Issue :
1
Database :
Complementary Index
Journal :
Nonlinear Analysis: Modeling & Control
Publication Type :
Academic Journal
Accession number :
173169563
Full Text :
https://doi.org/10.15388/namc.2022.27.25204