Open AccessStochastic stability of non‐linear impulsive semi‐Markov jump systems
Author(s) -
Lin Yu,
Zhang Yu
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.6383
Subject(s) - complement (music) , mathematics , stability (learning theory) , markov chain , control theory (sociology) , markov process , jump , lyapunov function , class (philosophy) , linear system , mathematical optimization , computer science , nonlinear system , mathematical analysis , control (management) , artificial intelligence , statistics , physics , quantum mechanics , machine learning , biochemistry , chemistry , complementation , gene , phenotype
In this study, the problem of stochastic stability of non‐linear impulsive semi‐Markov jump systems is investigated. Using the method of stochastic Lyapunov functions, the authors develop some sufficient conditions about stochastic stability for a class of non‐linear impulsive semi‐Markov jump systems with unbounded transition rates. Particularly, the obtained results generalise and complement some published literatures. Finally, some examples are given to show the effectiveness and advantages of the proposed results.