IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2010 · 37 citations · 31 references
EngineeringMathematicsComputational NeuroscienceDynamical SystemsNeural EngineeringNetwork StabilityNeural Control SystemsNeural NetworksStabilityStability TheoryTime Delay EffectsDelay-dependent Stability CriteriaExponential StabilityGlobal StabilityHopfield NetworksLyapunov StabilityLyapunov Stability TheoryNeural Networks With DelayTime-varying Delays
The global exponential stability is analyzed for a class of high-order Hopfield-type neural networks with time-varying delays. Based on the Lyapunov stability theory, together with the linear matrix inequality approach and free-weighting matrix method, some less conservative delay-independent and delay-dependent sufficient conditions are presented for the global exponential stability of the equilibrium point of the considered neural networks. Two numerical examples are provided to demonstrate the effectiveness of the proposed stability criteria.
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Huaguang Zhang, Tiedong Ma, Guang-Bin Huang et al. · IEEE Transactions on Systems Man and Cybernetics Part B (Cybernetics) · 2009 · 389 citations