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Global exponential stability for shunting inhibitory CNNs with delays
Applied Mathematics and Computation, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lingna Wang, Yiping Lin
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Globally exponential stability of delayed neural networks with impulses
2010 11th International Conference on Control Automation Robotics & Vision, 2010The present paper is mainly concerned with the issues of global exponential stability in recurrent delayed neural networks in the presence of impulsive connectivity between the neurons. By establishing an extended Halanay differential inequality on impulsive delayed neural networks, some simple yet generic criteria for global exponential stability of ...
Jin Zhou +3 more
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ROBUST GLOBAL EXPONENTIAL STABILITY OF UNCERTAIN IMPULSIVE SYSTEMS
Acta Mathematica Scientia, 2005Some sufficient conditions are derived for global exponential stability of the system \[ \dot x(t) =f(x(t)),\quad t\in (t_k,t_{k+1}],\quad \Delta x(t_k) =I_k(x(t_k)), \] where \(t\geq t_0\), \(x(t)\in \mathbb{R}^n\), \(\Delta x(t_k)=x(t^+_k)-x(t_k)\), \(f: \mathbb R^n\to \mathbb R^n\) is Lipschitz continuous and \(f(0)=0\), \(I_k:\mathbb R^n\to \mathbb
Liu, Bin, Liu, Xinzhi, Liao, Xiaoxin
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Global exponential stability of switched systems
Applied Mathematics and Mechanics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Global exponential stability of impulsive delay difference equation
Applied Mathematics and Computation, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wei Zhu 0004, Daoyi Xu, Zhichun Yang
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ROBUST GLOBAL EXPONENTIAL STABILIZATION OF AN UNDERACTUATED AIRSHIP
IFAC Proceedings Volumes, 2005Abstract This paper considers the problem of controlling both the planar position and orientation of an underactuated airship with a reduced number of actuators. The airship is a nonholonomic system described by a set of nonlinear equations and the dynamics are subject to bounded uncertainties.
Manabu Yamada, Masayoshi Tomizuka
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Global exponential stability in neural network with delays
ICSP '98. 1998 Fourth International Conference on Signal Processing (Cat. No.98TH8344), 2002This paper studies the problem of global exponential stability of the equilibrium of a class of neural networks with delays, by using the method of variation of constants and combining it with the method of inequality analysis. Sufficient conditions for global exponential stability of neural networks with delays are obtained, for which we do not ...
null Zhou Dongming, null Cao Jinde
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Global exponential stability of fuzzy neural networks
International Conference on Information Acquisition, 2004. Proceedings., 2005In this paper, using a fixed-point theorem and reduction to absurdity, we have obtained a sufficient condition to guarantee that fuzzy neural network with flat fuzzy feedback Min templates and flat fuzzy feedback Max templates is globally exponentially stable.
null Chaojin Fu, null Wudai Liao
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Global exponential stability of a class of neural circuits
IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 1999Summary: This paper obtains the global exponential stability of the class of Hopfield-Tank neural circuits, which can represent a generalization of the existing stability results in the sense that only the global asymptotic stability of the neural circuits was obtained under existing sufficient conditions in the literature.
Liang, Xuebin, Wu, Lide
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Global Exponential Stability of FCNNs with Bounded Uncertain Delays
2009In this paper, fuzzy cellular neural networks with bounded uncertain delays are investigated. By constructing Lyapunov functional method, applying inequality technique and the homeomorphism theory, we derive some new sufficient conditions to guarantee existence, uniqueness of the equilibrium point and its global exponential stability for fuzzy cellular
Guozheng Wang +2 more
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