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Exponential stability and global stability of cellular neural networks

Applied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xuemei Li, Lihong Huang
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Global Exponential Stability of a Neural Network for Inverse Variational Inequalities [PDF]

open access: possibleJournal of Optimization Theory and Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Phan Tu Vuong   +2 more
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Global exponential periodicity and global exponential stability of a class of recurrent neural networks

Physics Letters A, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Boshan, Wang, Jun
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GLOBAL EXPONENTIAL ROBUST STABILITY OF DELAYED NEURAL NETWORKS

International Journal of Bifurcation and Chaos, 2004
In this paper, several simple and new conditions are presented to ensure existence, uniqueness and global exponential robust stability of the equilibrium point of neural networks with delays by using contraction mapping principle, homeomorphism property and Lyapunov method.
Xiaolin Li 0004, Jinde Cao
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GLOBAL EXPONENTIAL STABILITY OF CHUA'S REACTION–DIFFUSION CNN

International Journal of Bifurcation and Chaos, 2009
In this paper, the global exponential stability of Chua's reaction–diffusion CNN system is investigated. For this system, some sufficient conditions ensuring the existence and global exponential stability of the equilibrium point is derived by using homeomorphism mapping, the property of coefficient matrix and analytical techniques.
Yunquan Ke, Chunfang Miao
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Hybrid global exponential stabilization on \(SO(3)\)

Autom., 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soulaimane Berkane   +2 more
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Global exponential stability of Hopfield neural networks

International Journal of Systems Science, 2001
In this article, some sufficient criteria are derived for the global exponential stability of the equilibrium of Hopfield neural networks of the form Ci dui ...
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Global asymptotic stability and global exponential stability of continuous-time recurrent neural networks

IEEE Transactions on Automatic Control, 2002
This paper presents new results on global asymptotic stability (GAS) and global exponential stability (GES) of a general class of continuous-time recurrent neural networks with Lipschitz continuous and monotone nondecreasing activation functions. We first give three sufficient conditions for the GAS of neural networks.
Sanqing Hu, Jun Wang 0002
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Exponential stability of globally projected dynamic systems

IEEE Transactions on Neural Networks, 2003
In this paper, we further analyze and prove the stability and convergence of the dynamic system proposed by Friesz et al.(1994), whose equilibria solve the associated variational inequality problems. Two sufficient conditions are provided to ensure the asymptotic stability of this system with a monotone and asymmetric mapping by means of an energy ...
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Robust Global Exponential Stability for Moving Horizon Estimation

2018 IEEE Conference on Decision and Control (CDC), 2018
In this paper, we consider optimization-based state estimation for general detectable nonlinear systems subject to unknown disturbances. The main contribution is a novel formulation of the cost function and a novel proof technique, which allows us (i) to ensure robust global exponential stability of the estimation error under a suitable exponential ...
Sven Knüfer, Matthias A. Müller 0001
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