Open AccessStability Control Method of Hybrid Impulsive System Based on M-Matrix
Author(s) -
Yunxu Tong,
Guihua Liu
Publication year - 2022
Publication title -
international journal of circuits, systems and signal processing
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.156
H-Index - 13
ISSN - 1998-4464
DOI - 10.46300/9106.2022.16.10
Subject(s) - control theory (sociology) , stability (learning theory) , matrix (chemical analysis) , synchronization (alternating current) , lyapunov function , pulse (music) , control system , mathematics , lyapunov stability , control (management) , computer science , topology (electrical circuits) , engineering , nonlinear system , physics , materials science , telecommunications , combinatorics , machine learning , artificial intelligence , quantum mechanics , detector , electrical engineering , composite material
Aiming at the problems of poor control effect and poor stability of the mixed pulse system with the traditional method, this paper introduces the M-matrix to establish the pulse delay differential indefinite formula and realize stability control of the mixed pulse system. The synchronization problem of mixed-pulse systems in complex networks is analyzed using M matrix. The local coupling strength of the impulsive system is controlled according to the adaptive method. A class of Multi-Lyapunov functions is constructed for stability control of hybrid impulsive systems. The proposed method is proved to have better control effect through experiments.