Attracting sets of discrete-time Markovian jump delay systems with stochastic disturbances via impulsive control

DOI10.1016/j.jfranklin.2020.07.049zbMath1448.93313OpenAlexW3046237734MaRDI QIDQ2005397

Zhenlei Dai, Liguang Xu, Shuzhi Sam Ge

Publication date: 7 October 2020

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2020.07.049

zbMATH Keywords

stochastic disturbancesimpulsive controldiscrete-time Markovian jump delay systemsexponential attracting sets

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Stochastic systems in control theory (general) (93E03) Delay control/observation systems (93C43) Impulsive control/observation systems (93C27)

Related Items (4)

On the p th moment contraction of discrete-time stochastic delay systems with multi-dimensional random noises ⋮ Functional observer-based asynchronous composite anti-disturbance control for Markov jump systems with multiple disturbances ⋮ Exponential estimate with a time-varying factor for positive discrete-time systems with time-delays ⋮ Exponential stabilization of fixed and random time impulsive delay differential system with applications

Cites Work

• Efficient approximation of optimal control for continuous-time Markov games
• Stability analysis of continuous-time Markovian jump time-delay systems with time-varying transition rates
• \(p\)th moment exponential synchronization for stochastic delayed Cohen-Grossberg neural networks with Markovian switching
• The attracting set for impulsive stochastic difference equations with continuous time
• Regularity and stability analysis of discrete-time Markov jump linear singular systems
• Asymptotic behaviors of non-autonomous impulsive difference equation with delays
• Robust exponential stability of uncertain impulsive delay difference equations with continuous time
• Dissipativity-based asynchronous filtering for periodic Markov jump systems
• Improved Razumikhin and Krasovskii stability criteria for time-varying stochastic time-delay systems
• Razumikhin method for impulsive functional differential equations of neutral type
• Stochastic stability of Markov jump hyperbolic systems with application to traffic flow control
• Stochastic and exponential stability of discrete-time Markov jump linear singular systems
• Asymptotic behavior analysis of complex-valued impulsive differential systems with time-varying delays
• Mixed \(H_\infty\) and passivity-based resilient controller for nonhomogeneous Markov jump systems
• Exponential ultimate boundedness of impulsive stochastic delay differential equations
• Global exponential stability of delay difference equations with delayed impulses
• Stability of nonlinear discrete repetitive processes with Markovian switching
• Approximate adaptive uniformization of continuous-time Markov chains
• Non-fragile fault-tolerant control for nonlinear Markovian jump systems with intermittent actuator fault
• Stochastic stability analysis for discrete-time singular Markov jump systems with time-varying delay and piecewise-constant transition probabilities
• Error bounds for augmented truncation approximations of continuous-time Markov chains
• Razumikhin-type stability theorems for discrete delay systems
• Exponential ultimate boundedness of impulsive stochastic delay difference systems
• A novel approach to state bounding for discrete-time Markovian jump systems with interval time-varying delay
• Almost surely attractive sets of discrete‐time Markov jump systems with stochastic disturbances via impulsive control

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