Exponential stability of impulsive stochastic functional differential systems

DOI10.1155/2012/678536zbMath1242.93109OpenAlexW2130792118WikidataQ58695850 ScholiaQ58695850MaRDI QIDQ437596

Zheng Wu, Hao Huang, Lianglong Wang

Publication date: 18 July 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/678536

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Optimal stochastic control (93E20) Applications of stochastic analysis (to PDEs, etc.) (60H30)

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Cites Work

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• \(p\)-th moment exponential stability of stochastic differential equations with impulse effect
• On stability of linear delay differential equations under Perron's condition
• Estimates of exponential stability for solutions of stochastic control systems with delay
• Exponential stability and estimation of solutions of linear differential systems of neutral type with constant coefficients
• Global exponential stability of impulsive stochastic functional differential systems
• Impulsive stabilization of stochastic functional differential equations
• Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations
• Mean square exponential stability of impulsive control stochastic systems with time-varying delay
• \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
• Global exponential stability of impulsive functional differential equations via Razumikhin technique
• Some criteria on \(p\)th moment stability of impulsive stochastic functional differential equations
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions
• Exponential \(p\)-stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays
• Asymptotic stability of nonlinear impulsive stochastic differential equations
• Exponential stability for stochastic neutral partial functional differential equations
• Razumikhin-type exponential stability criteria of neutral stochastic functional differential equations
• Stability of nonlinear autonomous quadratic discrete systems in the critical case
• Stability of Solutions for Stochastic Impulsive Systems via Comparison Approach