Mathematical Methods in the Applied Sciences · 2010 · 11 citations · 33 references
Natural SciencesMathematicsComputational NeuroscienceDifferential EquationsDynamical SystemsContinuous Dynamical SystemsControl Of Dynamical SystemsControl TheoryNetwork StabilityNeural NetworksStability TheoryDelay Differential SystemsExponential StabilityGlobal StabilityGlobal Stability AnalysisImpulsive ControlImpulsive SystemsNeural Networks With DelayState Variables
This paper considers the global exponential stability and exponential convergence rate of impulsive neural networks with continuously distributed delays in which the state variables on the impulses are related to the unbounded distributed delays. By establishing a new impulsive delay differential inequality, a new criterion concerning global exponential stability for these networks is derived, and the estimated exponential convergence rate is also obtained. The result extends and improves on earlier publications. In addition, two numerical examples are given to illustrate the applicability of the result. Copyright © 2010 John Wiley & Sons, Ltd.
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