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Stability criteria of random delay differential systems subject to random impulses
Author(s) -
Zhang Weihai,
Feng Likang,
Wu Zhaojing,
Park Ju H.
Publication year - 2021
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5632
Subject(s) - aperiodic graph , mathematics , moment (physics) , markov chain , stability (learning theory) , interval (graph theory) , exponential stability , random element , control theory (sociology) , random variable , computer science , statistics , combinatorics , nonlinear system , physics , control (management) , classical mechanics , machine learning , quantum mechanics , artificial intelligence
This article investigates the stability of random impulsive delay differential systems with the kind of random impulsive intensity determined by an arbitrary random sequence or an irreducible aperiodic Markov chain. Moreover, the continuous dynamics are described by random delay differential equations whose random disturbances are driven by second‐order moment processes. Based on the approaches of average impulsive interval and mode‐dependent average impulsive interval, the criteria of global asymptotic stability in probability and exponential stability in m th moment are constructed, respectively. In the end, the feasibility of the proposed theoretical results is verified by an example.