Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters

DOI10.1016/j.chaos.2015.01.014zbMath1352.62147OpenAlexW1976271094MaRDI QIDQ728383

Hua Zhang, Hong-yu Zhang, Zhiyong Ye, He Zhang, Guichen Lu

Publication date: 20 December 2016

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.01.014

zbMATH Keywords

Lyapunov-Krasovskii functionalmean square exponential stabilizationmean square stabilizationstochastic bidirectional associative memory neural network

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Probabilistic potential theory (60J45) Neural nets and related approaches to inference from stochastic processes (62M45)

Related Items (7)

Passivity analysis of Markov jump BAM neural networks with mode-dependent mixed time-delays via piecewise-constant transition rates ⋮ New bifurcation results for fractional BAM neural network with leakage delay ⋮ Impact of leakage delay on bifurcation in high-order fractional BAM neural networks ⋮ Mean-square exponential stability of fuzzy stochastic BAM networks with hybrid delays ⋮ Stationary distribution of stochastic Markov jump coupled systems based on graph theory ⋮ Adaptive control of Markov jump distributed parameter systems via model reference ⋮ Periodically intermittent control strategies for \(\alpha\)-exponential stabilization of fractional-order complex-valued delayed neural networks

Cites Work

• Unnamed Item
• Delay-dependent robust exponential stability of Markovian jumping reaction-diffusion Cohen-Grossberg neural networks with mixed delays
• Stochastic stability analysis of piecewise homogeneous Markovian jump neural networks with mixed time-delays
• Global exponential stability of uncertain fuzzy BAM neural networks with time-varying delays
• Global exponential stability of fuzzy BAM neural networks with time-varying delays
• Stability and bifurcation in a simplified five-neuron BAM neural network with delays
• Global asymptotic stability of delayed bi-directional associative memory neural networks
• Stability of stochastic differential equations with Markovian switching
• Mean-square exponential stability for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay
• Stability and \(\mathcal H_\infty\) performance analysis for Markovian jump systems with time-varying delays
• Exponential stability of continuous-time and discrete-time bidirectional associative memory networks with delays
• LMI-based approach for delay-dependent exponential stability analysis of BAM neural networks
• Global asymptotic stability of bi-directional associative memory networks with distributed delays
• The stability of distributed neutral delay differential systems with Markovian switching
• An analysis of periodic solutions of bi-directional associative memory networks with time-varying delays
• Dynamic analysis of stochastic bidirectional associative memory neural networks with delays
• Nonlinear \(H_{\infty }\) control of stochastic time-delay systems with Markovian switching
• Stability in Cohen–Grossberg-type bidirectional associative memory neural networks with time-varying delays
• Qualitative analysis of Bi-directional Associative Memory with time delay
• Exponential Stabilization of a Class of Stochastic System With Markovian Jump Parameters and Mode-Dependent Mixed Time-Delays
• Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises
• Stochastic Differential Equations with Markovian Switching

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