Razumikhin-type theorem for stochastic functional differential systems via vector Lyapunov function
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Publication:2320175
DOI10.1016/j.jmaa.2019.07.037zbMath1464.34105OpenAlexW2962121961WikidataQ127475967 ScholiaQ127475967MaRDI QIDQ2320175
Xuerong Mao, Lei Liu, Cao, Jinde
Publication date: 21 August 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://strathprints.strath.ac.uk/69222/
exponential stabilityinput-to-state stabilityvector Lyapunov functionRazumikhin-type theoremstochastic functional differential systems
Stability theory of functional-differential equations (34K20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50)
Related Items (9)
Asymptotic stability and continuity of nonlinear hybrid stochastic differential equation with randomly occurring delay ⋮ Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function ⋮ pth moment polynomial input-to-state stability of switched neutral pantograph stochastic hybrid systems with Lévy noise ⋮ Exponential ultimate boundedness and stability of impulsive stochastic functional differential equations ⋮ Some criteria on exponential stability of impulsive stochastic functional differential equations ⋮ Stability analysis of neutral stochastic delay differential equations via the vector Lyapunov function method ⋮ Razumikhin-type theorem for pth exponential stability of impulsive stochastic functional differential equations based on vector Lyapunov function ⋮ Advances in stabilization of highly nonlinear hybrid delay systems ⋮ Stability of stochastic nonlinear delay systems with delayed impulses
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