Open AccessPractical stability for fractional impulsive control systems with noninstantaneous impulses on networks
Author(s) -
Jin You,
Shurong Sun
Publication year - 2022
Publication title -
nonlinear analysis
Language(s) - English
Resource type - Journals
eISSN - 2335-8963
pISSN - 1392-5113
DOI - 10.15388/namc.2022.27.25204
Subject(s) - lyapunov function , stability (learning theory) , piecewise , control theory (sociology) , generalization , exponential stability , lyapunov stability , vertex (graph theory) , graph , mathematics , computer science , graph theory , control (management) , nonlinear system , mathematical analysis , discrete mathematics , physics , quantum mechanics , machine learning , artificial intelligence , combinatorics
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 Lyapunov-like 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