New delay-dependent stability criteria for neural networks with time-varying interval delay

DOI10.1016/j.physleta.2010.08.070zbMath1238.82027OpenAlexW2151196639MaRDI QIDQ418546

Jian Sun, Jie Chen, D. W. A. Rees, Guo Ping Liu

Publication date: 29 May 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2010.08.070

zbMATH Keywords

neural networkslinear matrix inequality (LMI)time-varying delaydelay-dependent stability

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Stability of topological dynamical systems (37B25) Linear inequalities of matrices (15A39) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (12)

State estimation for delayed genetic regulatory networks based on passivity theory ⋮ Stability analysis of generalized neural networks with fast-varying delay via a relaxed negative-determination quadratic function method ⋮ Novel extended dissipativity criteria for generalized neural networks with interval discrete and distributed time-varying delays ⋮ Stability analysis of static recurrent neural networks with interval time-varying delay ⋮ A survey on Lyapunov-based methods for stability of linear time-delay systems ⋮ Improved approach to robust stability and \(\mathcal H_\infty\) performance analysis for systems with an interval time-varying delay ⋮ Second-order reciprocally convex approach to stability of systems with interval time-varying delays ⋮ Delay-dependent exponential stability for uncertain neutral stochastic neural networks with interval time-varying delay ⋮ Bogdanov–Takens Bifurcation in a Neutral Delayed Hopfield Neural Network with Bidirectional Connection ⋮ Robust Stability Analysis of Delayed Stochastic Neural Networks via Wirtinger-Based Integral Inequality ⋮ Further results on dissipativity and stability analysis of Markov jump generalized neural networks with time-varying interval delays ⋮ Asymptotic Stability Criterion for Fuzzy Recurrent Neural Networks with Interval Time-Varying Delay

Cites Work

• Global stability for neural networks of neutral-type with interval time-varying delays
• New robust stability criteria for uncertain neural networks with interval time-varying delays
• Delay-dependent asymptotic stability for neural networks with distributed delays
• On global asymptotic stability of neural networks with discrete and distributed delays
• New results on stability analysis of neural networks with time-varying delays
• A discrete delay decomposition approach to stability of linear retarded and neutral systems
• Introduction to functional differential equations
• An analysis of exponential stability of delayed neural networks with time varying delays
• A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays
• DELAY-DEPENDENT STABILITY CRITERION FOR BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH INTERVAL TIME-VARYING DELAYS
• Global robust stability analysis of neural networks with multiple time delays

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