New results on stability for non-linear Markov switched stochastic functional differential systems
DOI10.1049/iet-cta.2020.0833zbMATH Open1542.93401MaRDI QIDQ6611584
Cao, Jinde, Lichao Feng, Lei Liu, Changfeng Xue
Publication date: 26 September 2024
Published in: IET Control Theory \& Applications (Search for Journal in Brave)
exponential stabilitymatrix algebraasymptotic stabilitypolynomialsdifferential equationsdelaysstochastic systemsLyapunov methodspolynomial stabilityasymptotic propertymultiple Lyapunov-Krasovskii functionalsdelay-dependent asymptotic stabilitynonlinear nonautonomous systemsstochastic functional differential systemsnonautonomous factornonlinear autonomous Markovnonlinear MarkovSFDSs
Nonlinear systems in control theory (93C10) Control/observation systems governed by functional-differential equations (93C23) Asymptotic stability in control theory (93D20) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Exponential stability (93D23)
Cites Work
- Unnamed Item
- Unnamed Item
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- Asymptotic stability and boundedness of stochastic functional differential equations with Markovian switching
- Stability analysis for stochastic hybrid systems: a survey
- Attraction, stability and robustness for stochastic functional differential equations with infinite delay
- Generalised theory on asymptotic stability and boundedness of stochastic functional differential equations
- Asymptotically almost periodic solutions of stochastic functional differential equations
- Controllability of semilinear stochastic functional integrodifferential systems in Hilbert spaces
- Robustness of exponential stability of a class of stochastic functional differential equations with infinite delay
- Stability of stochastic functional differential systems using degenerate Lyapunov functionals and applications
- Almost sure exponential stability of hybrid stochastic functional differential equations
- Stability of highly nonlinear hybrid stochastic integro-differential delay equations
- Exponential stability and instability of impulsive stochastic functional differential equations with Markovian switching
- Stochastic differential delay equations with Markovian switching
- Stability of hybrid stochastic functional differential equations
- On delay-dependent stability for a class of nonlinear stochastic systems with multiple state delays
- Stability in distribution of stochastic differential delay equations with Markovian switching
- Razumikhin-type theorems on general decay stability and robustness for stochastic functional differential equations
- Spreading Code Optimization and Adaptation in CDMA Via Discrete Stochastic Approximation
- New criteria for stochastic suppression and stabilization of hybrid functional differential systems
- Recursive Algorithms for Stock Liquidation: A Stochastic Optimization Approach
- Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
- Delay-dependent exponential stability of stochastic systems with time-varying delay, nonlinearity, and Markovian switching
- Some New Criteria on $p$th Moment Stability of Stochastic Functional Differential Equations With Markovian Switching
- The Almost Sure Asymptotic Stability and $p$th Moment Asymptotic Stability of Nonlinear Stochastic Differential Systems With Polynomial Growth
- Delay-dependent stability of non-linear hybrid stochastic functional differential equations
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