On exponential stability of hybrid neutral stochastic differential delay equations with different structures
Wu, Aiqing and You, Surong and Mao, Wei and Mao, Xuerong and Hu, Liangjian (2021) On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Nonlinear Analysis: Hybrid Systems, 39. 100971. ISSN 1751-570X (https://doi.org/10.1016/j.nahs.2020.100971)
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Abstract
This article discusses the problem of exponential stability for a class of hybrid neutral stochastic differential delay equations with highly nonlinear coefficients and different structures in different switching modes. In such systems, the coefficients will satisfy the local Lipschitz condition and suitable Khasminskii-types conditions. The set of switching states will be divided into two subsets. In different subsets, the coefficients will be dominated by polynomials with different degrees. By virtue of M-matrices and suitable Lyapunov functions dependent on coefficient structures and switching modes, some results including the existence-and-uniqueness, boundedness and exponential stability of the solution are proposed and proved.
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Item type: Article ID code: 73876 Dates: DateEvent28 February 2021Published18 September 2020Published Online9 September 2020AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 16 Sep 2020 14:55 Last modified: 08 Aug 2024 01:49 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/73876