A new criterion for exponential stability of uncertain stochastic neural networks with mixed delays

DOI10.1016/j.mcm.2007.05.014zbMath1144.34388OpenAlexW2044155856MaRDI QIDQ947878

Hongjiu Yang, Peng Shi, Jinhui Zhang, Ji-Qing Qiu

Publication date: 8 October 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.05.014

zbMATH Keywords

exponential stabilitytime delayslinear matrix inequalities (LMIs)norm-bounded uncertaintiesstochastic neural networks

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items (13)

Robust exponential stability of uncertain impulsive stochastic neural networks with delayed impulses ⋮ Exponential stability for uncertain cellular neural networks with discrete and distributed time-varying delays ⋮ New delay-interval-dependent exponential stability for stochastic neural networks with interval time-varying delay and distributed delay ⋮ Lagrange stability for uncertain memristive neural networks with Lévy noise and leakage delay ⋮ Improved results on state estimation for uncertain Takagi-Sugeno fuzzy stochastic neural networks with time-varying delays ⋮ Non-fragile robust stabilization and \(H\infty \) control for uncertain stochastic nonlinear time-delay systems ⋮ Relative controllability of stochastic nonlinear systems with delay in control ⋮ Robust stochastic stabilization and \(H_{\infty }\) control for neutral stochastic systems with distributed delays ⋮ Mean-square exponential stability of stochastic Hopfield neural networks with time-varying discrete and distributed delays ⋮ Improved delay-dependent stability criteria for neural networks with discrete and distributed time-varying delays using a delay-partitioning approach ⋮ Further results on mean square exponential stability of uncertain stochastic delayed neural networks ⋮ Delay-dependent stability analysis for continuous-time BAM neural networks with Markovian jumping parameters ⋮ Robust Stability Analysis of Delayed Stochastic Neural Networks via Wirtinger-Based Integral Inequality

Uses Software

• LMI toolbox

Cites Work

• On global asymptotic stability of neural networks with discrete and distributed delays
• New criteria for synchronization stability of general complex dynamical networks with coupling delays
• Robust control of a class of uncertain nonlinear systems
• Introduction to functional differential equations
• Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays
• Exponential stability of uncertain stochastic neural networks with mixed time-delays
• Delay-dependent exponential stability for a class of neural networks with time delays
• Linear Matrix Inequalities in System and Control Theory
• Filtering on sampled-data systems with parametric uncertainty
• New Results on Stability of Discrete-Time Systems With Time-Varying State Delay
• Globally exponential stability of neural networks with variable delays
• Induced l/sub 2/ and generalized H/sub 2/ filtering for systems with repeated scalar nonlinearities

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