Structured robust stability and boundedness of nonlinear hybrid delay systems
Fei, Weiyin and Hu, Liangjian and Mao, Xuerong and Shen, Mingxuan (2018) Structured robust stability and boundedness of nonlinear hybrid delay systems. SIAM Journal on Control and Optimization, 56 (4). pp. 2662-2689. ISSN 0363-0129 (https://doi.org/10.1137/17M1146981)
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Abstract
Taking different structures in different modes into account, the paper has developed a new theory on the structured robust stability and boundedness for nonlinear hybrid stochastic differential delay equations (SDDEs) without the linear growth condition. A new Lyapunov function is designed in order to deal with the effects of different structures as well as those of different parameters within the same modes. Moreover, a lot of effort is put into showing the almost sure asymptotic stability in the absence of the linear growth condition.
ORCID iDs
Fei, Weiyin, Hu, Liangjian, Mao, Xuerong ORCID: https://orcid.org/0000-0002-6768-9864 and Shen, Mingxuan;-
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Item type: Article ID code: 64134 Dates: DateEvent17 July 2018Published17 July 2018Published Online21 May 2018AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 23 May 2018 13:02 Last modified: 29 Oct 2024 02:11 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/64134