New criteria for mean square exponential stability of stochastic delay differential equations

DOI10.1080/00207179.2020.1770334zbMath1478.93552OpenAlexW3027495629WikidataQ115552288 ScholiaQ115552288MaRDI QIDQ5012687

Pham Huu Anh Ngoc

Publication date: 25 November 2021

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2020.1770334

zbMATH Keywords

stochastic delay differential equationmean square exponential stabilitydelay independent and delay dependent stability criteria

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Delay control/observation systems (93C43) Exponential stability (93D23)

Related Items (3)

Exponential stability of stochastic functional differential equations with impulsive perturbations and Markovian switching ⋮ Exponential stability in mean square of stochastic functional differential equations with infinite delay ⋮ On stability of solutions of stochastic delay differential equations

Cites Work

• Stabilization of stochastic differential equations driven by \(G\)-Brownian motion with feedback control based on discrete-time state observation
• Improved Razumikhin and Krasovskii stability criteria for time-varying stochastic time-delay systems
• Existence and uniqueness theorems for periodic Markov process and applications to stochastic functional differential equations
• Mean-square stability of stochastic age-dependent delay population systems with jumps
• Mean-square stability of delayed stochastic neural networks with impulsive effects driven by \(G\)-Brownian motion
• Simple LMIs for stability of stochastic systems with delay term given by Stieltjes integral or with stabilizing delay
• Explicit criteria for mean square exponential stability of stochastic differential equations
• Exponential ultimate boundedness of impulsive stochastic delay differential equations
• Explicit criteria for mean square exponential stability of stochastic linear differential equations with distributed delays
• \(p\)th moment exponential stability of stochastic delayed hybrid systems with Lévy noise
• Delay dependent stability of highly nonlinear hybrid stochastic systems
• Razumikhin method and exponential stability of hybrid stochastic delay interval systems
• Modeling with Itô Stochastic Differential Equations
• Stochastic Differential Delay Equation, Moment Stability, and Application to Hematopoietic Stem Cell Regulation System
• Razumikhin-type theorems on stability of stochastic retarded systems
• On razumikhin-type stability conditions for stochastic functional differential equations
• ON ESTIMATION OF THE LINEARIZED DRIFT FOR NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS
• Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
• Novel criteria for exponential stability in mean square of stochastic functional differential equations
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