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Type: Journal article
Title: Input-to-state stability for nonlinear systems with stochastic impulses
Author: Tang, Y.
Wu, X.
Shi, P.
Qian, F.
Citation: Automatica, 2020; 113:108766-1-108766-12
Publisher: Elsevier
Issue Date: 2020
ISSN: 0005-1098
Statement of
Yang Tang, Xiaotai Wu, Peng Shi, Feng Qian
Abstract: In this study, the problem of input-to-state stability (ISS) is systematically investigated for nonlinear systems with stochastic impulses. First, the ISS problem is considered for systems, where impulsive strengths are assumed to be stochastic and impulsive intervals are confined by the average impulsive interval. Then, the ISS problem is analyzed for nonlinear systems with both stochastic impulsive intensity and density. Several different cases are considered, i.e., cases where the impulsive instants are satisfied by a renewal process, Poisson process, semi-Markov chain and Markov chain. An example of coordination of multi-agent systems is provided to illustrate the effectiveness of the proposed new stability criteria.
Keywords: Nonlinear systems; input-to-state stability; impulsive systems; Markov process; stochastic process
Rights: © 2019 Elsevier Ltd. All rights reserved.
DOI: 10.1016/j.automatica.2019.108766
Appears in Collections:Aurora harvest 4
Electrical and Electronic Engineering publications

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