2011
DOI: 10.1007/s00034-011-9315-8
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A New Global Stability Criteria for Neural Network with Two Time-Varying Delays

Abstract: This paper is concerned with the problem of stability for neural network with two time-varying delays, which has a wider range of applications than neural network with single time-varying delay. The system possesses two timevarying delays which are not required to be either continuously differentiable, or its derivative less than one. Based on Lyapunov-Krasovskii functional approach, Free-weight Matrix and Linear Matrix inequalities (LMIs), new delay-dependent and delay-derivative-dependent stability criteria … Show more

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Cited by 7 publications
(1 citation statement)
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“…Many kinds of synchronization have been proposed, such as complete synchronization, lag synchronization, cluster synchronization, and generalized synchronization. For a network which cannot achieve synchronization by itself, one can design some appropriate controllers to force the network to synchronize onto a homogenous trajectory, such as adaptive control [12][13][14], pinning control [15][16][17][18], intermittent control [19,20], and impulsive control [21][22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%
“…Many kinds of synchronization have been proposed, such as complete synchronization, lag synchronization, cluster synchronization, and generalized synchronization. For a network which cannot achieve synchronization by itself, one can design some appropriate controllers to force the network to synchronize onto a homogenous trajectory, such as adaptive control [12][13][14], pinning control [15][16][17][18], intermittent control [19,20], and impulsive control [21][22][23][24][25][26][27].…”
Section: Introductionmentioning
confidence: 99%