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| Format: | Artículo científico |
| Language: | en |
| Published: |
Vilniaus Universitetas
2022
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| Online Access: | https://www.redalyc.org/articulo.oa?id=694173132007 https://www.redalyc.org/journal/6941/694173132007/ https://www.redalyc.org/journal/6941/694173132007/html/ https://www.redalyc.org/journal/6941/694173132007/694173132007.epub https://www.redalyc.org/journal/6941/694173132007/movil https://doi.org/10.15388/namc.2022.27.25204 |
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Table of Contents:
- Practical stability for fractional impulsive control systems with noninstantaneous impulses on networks* Jin You Shurong Sun Matemáticas networks graph theory fractional order Practical stability noninstantaneous impulses 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. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173132007 https://www.redalyc.org/journal/6941/694173132007/ https://www.redalyc.org/journal/6941/694173132007/html/ https://www.redalyc.org/journal/6941/694173132007/694173132007.epub https://www.redalyc.org/journal/6941/694173132007/movil https://doi.org/10.15388/namc.2022.27.25204 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.1 Vol.27