Results 281 to 290 of about 1,813,184 (347)

Stability of analog neural networks with delay

Physical Review A, 1989
Continuous-time analog neural networks with symmetric connections will always converge to fixed points when the neurons have infinitely fast response, but can oscillate when a small time delay is present. Sustained oscillation resulting from time delay is relevant to hardware implementations of neural networks where delay due to the finite switching ...
, Marcus, , Westervelt
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Dynamics in a delayed-neural network☆

Chaos, Solitons & Fractals, 2007
The following delay-differential system is considered \[ \dot x_j(t)=-x_j(t) +\alpha f(x_j(t-\tau_s)) + \beta\left[ g(x_{j-1}(t-\tau_1))+g(x_{j+1}(t-\tau_1)) \right] + \gamma h(x_{j+2}(t-\tau_2)), \] where the index \(j\) is considered modulo 4 and the functions \(f,g,h\) vanish at zero.
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Stability for delayed reaction–diffusion neural networks

Physics Letters A, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Allegretto W., Papini D.
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Stability criteria for delayed neural networks

Physical Review E, 2001
In this paper, delay-independent global asymptotic and exponential stability for a class of delayed neural networks (DNN's) is investigated, and some criteria are established to ensure stability of DNN's by applying the Lyapunov direct method. These criteria are expressed by imposing constraints on weight matrices of the networks, and they are easy to ...
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Global Convergence of Delayed Neural Network Systems

International Journal of Neural Systems, 2003
In this paper, without assuming the boundedness, strict monotonicity and differentiability of the activation functions, we utilize a new Lyapunov function to analyze the global convergence of a class of neural networks models with time delays. A new sufficient condition guaranteeing the existence, uniqueness and global exponential stability of the ...
Wenlian, Lu, Libin, Rong, Tianping, Chen
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Delayed Hybrid Impulsive Neural Networks

2019
This chapter first introduces the continuous-time Hopfield neural networks. The existence and uniqueness of equilibrium, as well as its stability and instability, of continuous-time Hopfield networks are analyzed, and less conservative yet more general results are established. Then, in light of the continuous-time architecture of Hopfield networks, the
Zhi-Hong Guan, Bin Hu, Xuemin Shen
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Delay-dependent multistability in recurrent neural networks

Neural Networks, 2010
In this article, we focus on the delay-dependent multistability in recurrent neural networks. By constructing Lyapunov functional and using matrix inequality techniques, a novel delay-dependent multistability criterion is derived. The obtained results are more flexible and less conservative than previously known criteria. Two examples are given to show
Huang, Gan, Cao, Jinde
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Delayed Coupling Between Two Neural Network Loops

SIAM Journal on Applied Mathematics, 2004
Summary: Coupled loops with time delays are common in physiological systems such as neural networks. We study a Hopfield-type network that consists of a pair of one-way loops each with three neurons and two-way coupling (of either excitatory or inhibitory type) between a single neuron of each loop.
Campbell, Sue Ann, Edwards, R., van den Driessche, P.   +2 more
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A new Lyapunov functional approach to sampled-data synchronization control for delayed neural networks

Journal of the Franklin Institute, 2018
This paper discusses the problem of synchronization for delayed neural networks using sampled-data control. We introduce a new Lyapunov functional, called complete sampling-interval-dependent discontinuous Lyapunov functional, which can adequately ...
Shenping Xiao, Hong-Hai Lian, K. Teo, Hongbing Zeng, Xiao-Hu Zhang   +4 more
semanticscholar   +1 more source

Network-Based Synchronization of Delayed Neural Networks

IEEE Transactions on Circuits and Systems I: Regular Papers, 2013
This paper focuses on network-based master-slave synchronization for delayed neural networks through a remote controller. The insertion of communication networks in a master-slave synchronization scheme inevitably induces network delays, packet dropouts and stochastic fluctuations.
Zhang, Yijun., Han, Qing-Long.
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