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Stability analysis of delayed cellular neural networks
Neural Networks, 1998In this paper, the problems of stability in a class of delayed cellular neural networks (DCNN) are studied; some new stability criteria are obtained by using the Lyapunov functional method and some analysis techniques. These criteria can be used to design globally stable networks and thus have important significance in both theory and application.
Jinde Cao, Dongming Zhou
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Trainable Delays in Time Delay Neural Networks for Learning Delayed Dynamics
IEEE Transactions on Neural Networks and Learning SystemsIn this article, the connection between time delay systems and time delay neural networks (TDNNs) is presented from a continuous-time perspective. TDNNs are utilized to learn the nonlinear dynamics of time delay systems from trajectory data. The concept of TDNN with trainable delay (TrTDNN) is established, and training algorithms are constructed for ...
Xunbi A. Ji, Gábor Orosz
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The passivity of neural networks with time-varying delay
2019 IEEE Symposium Series on Computational Intelligence (SSCI), 2019This study addresses the passivity analysis of neural networks with time-varying delay. By constructing an improved Lyapunov-Krasovskii functional (LKF) and utilizing some newly integral inequalities, a further sufficient condition for the passivity of the considered system is obtained.
Jinnan Luo +5 more
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Further Results for an Estimation of Upperbound of Delays for Delayed Neural Networks
2004In this paper, we have studied the global stability of the equilibrium of Hopfield neural networks with discrete delays. Criteria for global stability are derived by means of Lyapunov functionals and the estimates on the allowable sizes of delays are also given. Our results are better than those given in the existing literature.
Xueming Li +2 more
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Dynamics of General Neural Networks with Distributed Delays
2006The paper introduces a general class of neural networks with periodic inputs. By constructing a Lyapunov functional and the Halanay-type inequality separately, we obtain easily verifiable sufficient conditions ensuring that every solutions of the delayed neural networks converge exponentially to the unique periodic solutions.
Changyin Sun 0001, Linfeng Li
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Deep delay rectified neural networks
The Journal of Supercomputing, 2022Chuanhui Shan, Ao Li, Xiumei Chen
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Stability Analysis of Uncertain Neural Networks with Delay
2004The globally uniformly asymptotic stability of uncertain neural networks with time delay has been discussed in this paper.Using the Razumikhin-type theory and matrix analysis method, A sufficient criterion about globally asymptotic stability of the neural networks is obtained.
Zhongsheng Wang, Hanlin He, Xiaoxin Liao
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Synchronization of chaotic neural networks with time delay via distributed delayed impulsive control
Neural Networks, 2019Zhilu Xu, Dongxue Peng, Xiaodi Li
exaly

