Global asymptotic stability of stochastic fuzzy cellular neural networks with multiple discrete and distributed time-varying delays

DOI10.1016/j.cnsns.2010.10.011zbMath1221.34189OpenAlexW1964963320MaRDI QIDQ718619

D. Kharzeev

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.10.011

zbMATH Keywords

linear matrix inequalitycellular neural networksLyapunov functionalglobal asymptotic stabilitystochastic systemsT--S fuzzy modelmultiple discrete and distributed time-varying delays

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Fuzzy functional-differential equations (34K36)

Related Items (14)

\(H_\infty \) state estimation of stochastic neural networks with mixed time-varying delays ⋮ Finite-time stability analysis of fractional-order memristive fuzzy cellular neural networks with time delay and leakage term ⋮ Exponential stability result for discrete-time stochastic fuzzy uncertain neural networks ⋮ Theorems and application of local activity of CNN with five state variables and one port ⋮ Exponential synchronization of stochastic fuzzy cellular neural networks with time delay in the leakage term and reaction-diffusion ⋮ Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays ⋮ Synchronization of chaotic delayed fuzzy neural networks under impulsive and stochastic perturbations ⋮ Global stability analysis of fractional-order fuzzy BAM neural networks with time delay and impulsive effects ⋮ Adaptive synchronization for stochastic competitive neural networks with mixed time-varying delays ⋮ State estimation for discrete-time fuzzy cellular neural networks with mixed time delays ⋮ Synchronization of stochastic fuzzy cellular neural networks with leakage delay based on adaptive control ⋮ pth moment exponential stability of stochastic fuzzy Cohen–Grossberg neural networks with discrete and distributed delays ⋮ H_∞ state estimation of generalised neural networks with interval time-varying delays ⋮ Non-fragile synchronisation of mixed delayed neural networks with randomly occurring controller gain fluctuations

Uses Software

• LMI toolbox

Cites Work

• Global robust stability of neural networks with multiple discrete delays and distributed delays
• Robust stability for uncertain stochastic fuzzy BAM neural networks with time-varying delays
• Robust stability for stochastic Hopfield neural networks with time delays
• Exponential stability of fuzzy cellular neural networks with distributed delay
• Stability analysis and design of fuzzy control systems
• Robust stability of uncertain stochastic differential delay equations
• Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models
• Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
• Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
• Exponential stability of delayed fuzzy cellular neural networks with diffusion
• Exponential stability analysis of uncertain stochastic neural networks with multiple delays
• On the global asymptotic stability of delayed cellular neural networks
• Fuzzy identification of systems and its applications to modeling and control
• Cellular neural networks: theory
• An improved global stability result for delayed cellular neural networks

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