On exponential stability of hybrid neutral stochastic differential delay equations with different structures

Wu, A. and You, Surong and Mao, Wei and Mao, Xuerong and Hu, Liangjian (2020) On exponential stability of hybrid neutral stochastic differential delay equations with different structures. Nonlinear Analysis: Hybrid Systems. ISSN 1751-570X (In Press)

[thumbnail of Wu-etal-NAHS-2020-On-exponential-stability-of-hybrid-neutral-stochastic-differential-delay-equations-with-different-structures] Text (Wu-etal-NAHS-2020-On-exponential-stability-of-hybrid-neutral-stochastic-differential-delay-equations-with-different-structures)
Wu_etal_NAHS_2020_On_exponential_stability_of_hybrid_neutral_stochastic_differential_delay_equations_with_different_structures.pdf
Accepted Author Manuscript
Restricted to Repository staff only until 15 September 2021.
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (532kB) | Request a copy from the Strathclyde author

    Abstract

    This article discusses the problem of exponential stability for a class of hybrid neutral stochastic differential delay equations with highly nonlinear coeffcients and different structures in different switching modes. In such systems, the coeffcients 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 coeffcients will be dominated by polynomials with different degrees. By virtue of M-matrices and suitable Lyapunov functions dependent on coeffcient structures and switching modes, some results including the existence-and-uniqueness, boundedness and exponential stability of the solution are proposed and proved

    ORCID iDs

    Wu, A., You, Surong, Mao, Wei, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Hu, Liangjian;