Stability of stochastic reaction-diffusion systems with Markovian switching and impulsive perturbations
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Publication:1954768
DOI10.1155/2012/429568zbMath1264.60045OpenAlexW2055813993WikidataQ58911647 ScholiaQ58911647MaRDI QIDQ1954768
Publication date: 11 June 2013
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/429568
Stability in context of PDEs (35B35) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items (9)
Stabilisation of mode-dependent singular Markovian jump systems with generally uncertain transition rates ⋮ Stability of coupled impulsive Markovian jump reaction-diffusion systems on networks ⋮ Mean square stability of impulsive stochastic delayed reaction-diffusion equations via comparison principle with Razumikhin method ⋮ Robust guaranteed cost observer design for singular Markovian jump time-delay systems with generally incomplete transition probability ⋮ Boundary control of linear stochastic reaction‐diffusion systems ⋮ Exponential stability and instability of impulsive stochastic functional differential equations with Markovian switching ⋮ \(H_\infty\) sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters ⋮ Robust stabilization of Markovian jump linear singular systems with Wiener process and generally incomplete transition rates ⋮ A sliding mode approach to \(H_\infty\) non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems
Cites Work
- Unnamed Item
- Almost sure exponential stability of stochastic reaction diffusion systems
- Stability in mean of partial variables for stochastic reaction diffusion systems
- Stability of impulsive stochastic differential equations in terms of two measures via perturbing Lyapunov functions
- The attracting set for impulsive stochastic difference equations with continuous time
- Mean square exponential stability of impulsive stochastic reaction-diffusion Cohen-Grossberg neural networks with delays
- Delay-dependent stability criterion for a class of non-linear singular Markovian jump systems with mode-dependent interval time-varying delays
- Stability of impulsive stochastic differential delay systems and its application to impulsive stochastic neural networks
- Exponential stability of impulsive stochastic functional differential equations
- Global exponential stability of impulsive stochastic functional differential systems
- On the stability of the stochastic parabolic Itô equation with delay and Markovian jump
- Stochastic global exponential stability for neutral-type impulsive neural networks with mixed time-delays and Markovian jumping parameters
- Stochastic exponential stability of the delayed reaction-diffusion recurrent neural networks with Markovian jumping parameters
- Mean square exponential stability of impulsive control stochastic systems with time-varying delay
- Stabilization of stochastic Hopfield neural network with distributed parameters
- \(p\)-Moment stability of stochastic differential equations with impulsive jump and Markovian switching
- Mean square stability analysis of impulsive stochastic differential equations with delays
- Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching
- Exponential \(p\)-stability of impulsive stochastic differential equations with delays
- Exponential stability results for uncertain neutral systems with interval time-varying delays and Markovian jumping parameters
- \(H_\infty\)-control for Markovian jumping linear systems with parametric uncertainty
- Global exponential stability of reaction-diffusion recurrent neural networks with time-varying delays
- Impulsive delay differential inequality and stability of neural networks
- \(p\)-moment stability of stochastic differential equations with jumps
- Stability of Markovian jump neural networks with impulse control and time varying delays
- Stochastic differential delay equations with Markovian switching
- Stability of impulsive infinite delay differential equations
- Mode-dependent \(H_\infty\) filtering for discrete-time Markovian jump linear systems with partly unknown transition probabilities
- Exponential stability for impulsive delay differential equations by Razumikhin method
- Analysis and Synthesis of Markov Jump Linear Systems With Time-Varying Delays and Partially Known Transition Probabilities
- On Input-to-State Stability of Stochastic Retarded Systems With Markovian Switching
- Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions
- Exponential stability of stochastic delay interval systems with Markovian switching
- Stochastic Differential Equations with Markovian Switching
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