Input-to-state stability of infinite-dimensional stochastic nonlinear systems
DOI10.3934/dcdsb.2021066OpenAlexW3134890468MaRDI QIDQ2069737
Huan Su, Mengyi Zhang, Peng-fei Wang
Publication date: 21 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2021066
mild solutionsinput-to-state stabilityLyapunov methodItô's formulainfinite-dimensional stochastic systems
Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stability theory for random and stochastic dynamical systems (37H30)
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Cites Work
- Input-to-state stability of impulsive stochastic delayed systems under linear assumptions
- Characterizations of integral input-to-state stability for bilinear systems in infinite dimensions
- Stochastic input-to-state stability of switched stochastic nonlinear systems
- A note on exponential state feedback stabilizability by a Razumikhin type theorem of mild solutions of SDEs with delay
- Stability analysis for stochastic hybrid systems: a survey
- Representation and control of infinite dimensional systems
- Stability of solutions to stochastic partial differential equations
- A notion of stochastic input-to-state stability and its application to stability of cascaded stochastic nonlinear systems
- Stability of stochastic partial differential equations with infinite delays
- Global-stability problem for coupled systems of differential equations on networks
- Comments on integral variants of ISS
- Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
- Lyapunov characterization of input-to-state stability for semilinear control systems over Banach spaces
- Robust stabilization with a general decay of mild solutions of stochastic evolution equations
- Input-to-state stability for stochastic multi-group models with multi-dispersal and time-varying delay
- Input-to-state stability of interconnected hybrid systems
- Stability of infinite dimensional stochastic evolution equations with memory and Markovian jumps
- An iISS Framework for Stochastic Robustness of Interconnected Nonlinear Systems
- Stability Analysis of A Class of Hybrid Stochastic Retarded Systems Under Asynchronous Switching
- Almost Sure Asymptotic Stability of Stochastic Partial Differential Equations with Jumps
- Stability Analysis of Impulsive Stochastic Nonlinear Systems
- Criteria for Input-to-State Practical Stability
- Monotonicity Methods for Input-to-State Stability of Nonlinear Parabolic PDEs with Boundary Disturbances
- Smooth stabilization implies coprime factorization
- A Complete Characterization of Integral Input-to-State Stability and Its Small-Gain Theorem for Stochastic Systems
- New Criteria on $p$th Moment Input-to-State Stability of Impulsive Stochastic Delayed Differential Systems
- Stability of Infinite Dimensional Stochastic Differential Equations with Applications
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