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Global Asymptotic Stabilization of Feedforward Systems With Delay in the Input

IEEE Transactions on Automatic Control, 2004
The problem of globally uniformly asymptotically and locally exponentially stabilizing a family of nonlinear feedforward systems when there is a delay in the input is solved. No limitation on the size of the delay is imposed. Explicit expressions of bounded control laws are determined.
Frédéric Mazenc   +2 more
openaire   +2 more sources

GLOBAL ASYMPTOTIC STABILITY OF A CLASS OF DYNAMICAL NEURAL NETWORKS

International Journal of Neural Systems, 2003
The dynamics of cortical cognitive maps developed by self–organization must include the aspects of long and short–term memory. The behavior of the network is such characterized by an equation of neural activity as a fast phenomenon and an equation of synaptic modification as a slow part of the neural biologically relevant system.
Anke Meyer-Bäse, Sergei S. Pilyugin
openaire   +2 more sources

ON THE GLOBAL ASYMPTOTIC STABILITY ANALYSIS OF DELAYED NEURAL NETWORKS

International Journal of Bifurcation and Chaos, 2005
In this paper, the problem of the global asymptotic stability (GAS) of a class of delayed neural network is investigated. Under the generalization of dropping the boundedness and differentiability hypotheses for activation functions, using some existing results for the existence and uniqueness of the equilibrium point, we obtain a couple of general ...
Zhaohui Yuan   +3 more
openaire   +2 more sources

Global Asymptotic Stability of Delayed Cellular Neural Networks

IEEE Transactions on Neural Networks, 2007
A new criterion for the global asymptotic stability of the equilibrium point of cellular neural networks with multiple time delays is presented. The obtained result possesses the structure of a linear matrix inequality and can be solved efficiently using the recently developed interior-point algorithm.
Huaguang Zhang, Zhanshan Wang 0001
openaire   +3 more sources

Almost everywhere global asymptotic stability†

International Journal of Control, 1970
A new type of global stability property, called ‘almost everywhere global asymptotic (a.e.g.a.) stability) is introduced Roughly speaking, a dynamical system is said to be a.e.g.a. stable if only a finite number of its trajectories do not tend to the origin of the state space as time tends to infinity.
R. J. P. DE FIGUEIREDO, J. A. DUTERTBE
openaire   +1 more source

Global Asymptotic and Robust Stability of Inertial Neural Networks With Proportional Delays

Neurocomputing, 2018
Haijun Jiang   +2 more
exaly  

An Analysis of Global Asymptotic Stability of Delayed Cellular Neural Networks

IEEE Transactions on Neural Networks, 2002
Sabri Arık
exaly  

Global Asymptotic Stability of a Larger Class of Neural Networks With Constant Time Delay

Physics Letters, Section A: General, Atomic and Solid State Physics, 2003
Sabri Arık
exaly  

Global Asymptotic Stability and Global Exponential Stability of Neural Networks With Unbounded Time-Varying Delays

IEEE Transactions on Circuits and Systems Part 2: Express Briefs, 2005
Jun Wang, Zhigang Zeng, Xiaoxin Liao
exaly  

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