The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixe... more The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.
The stability of a neural network model may often be destroyed by the parameter deviations during... more The stability of a neural network model may often be destroyed by the parameter deviations during the implementation. However, few results (if any) for the stability of such system with a certain deviation rate have been reported in the literature. In this paper, we present a simple delayed neural network model, in which each parameter deviates the reference point with
This Letter addresses the qualitative properties of equilibrium points in continuous Hopfield neu... more This Letter addresses the qualitative properties of equilibrium points in continuous Hopfield neural networks. We derive a sufficient condition for an equilibrium point to be locally exponentially stable. We also present an estimate on the domains of attraction of locally exponentially ...
2006 International Conference on Communications, Circuits and Systems Proceedings, Vols 1-4: Vol 1: Signal Processing, 2006
It is usually hard to calculate Lyapunov exponent of a system or a time series exactly. For a cha... more It is usually hard to calculate Lyapunov exponent of a system or a time series exactly. For a chaotic system, the largest Lyapunov exponent (LLE) is positive. So estimating the largest Lyapunov exponent is an important for a nonlinear system. In this paper, the problems of LEs of difference differential dynamic system are discussed. An algorithm for estimating the largest
In this paper, the globally exponential stability of BAM neural networks with time delays and imp... more In this paper, the globally exponential stability of BAM neural networks with time delays and impulses has been studied. Different from most existing publications, the case of variable time impulses is dealt with in the present paper, i.e., impulse occurring is not at fixed instants but depends on the states of systems. By using Lyapunov function and inequality technique, some
International Journal of Control Automation and Systems, 2013
ABSTRACT This paper further investigates the problem of intermittent control of a memristor-based... more ABSTRACT This paper further investigates the problem of intermittent control of a memristor-based Chua’s oscillator and presents the oscillator as the T-S fuzzy model system. Based on Lyapunov stability theory, we design an intermittent controller to guarantee the stability of the chaotic system. Simulation results are presented to verify the effectiveness of the method.
2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914), 2004
... Server computes auth '=Tr(TJ(m)) and compare outh&am... more ... Server computes auth '=Tr(TJ(m)) and compare outh' with outh. If auth=auth', the identity ofUser is authenticated and User will he allowed to visit the resource ... If auth=auth', User will be allowed to visit the resource in Server; otherwise.User will be refused. ...
The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixe... more The global asymptotic stability of impulsive stochastic Cohen-Grossberg neural networks with mixed delays and reaction-diffusion terms is investigated. Under some suitable assumptions and using Lyapunov-Krasovskii functional method, we apply the linear matrix inequality technique to propose some new sufficient conditions for the global asymptotic stability of the addressed model in the stochastic sense. The mixed time delays comprise both the time-varying and continuously distributed delays. The effectiveness of the theoretical result is illustrated by a numerical example.
The stability of a neural network model may often be destroyed by the parameter deviations during... more The stability of a neural network model may often be destroyed by the parameter deviations during the implementation. However, few results (if any) for the stability of such system with a certain deviation rate have been reported in the literature. In this paper, we present a simple delayed neural network model, in which each parameter deviates the reference point with
This Letter addresses the qualitative properties of equilibrium points in continuous Hopfield neu... more This Letter addresses the qualitative properties of equilibrium points in continuous Hopfield neural networks. We derive a sufficient condition for an equilibrium point to be locally exponentially stable. We also present an estimate on the domains of attraction of locally exponentially ...
2006 International Conference on Communications, Circuits and Systems Proceedings, Vols 1-4: Vol 1: Signal Processing, 2006
It is usually hard to calculate Lyapunov exponent of a system or a time series exactly. For a cha... more It is usually hard to calculate Lyapunov exponent of a system or a time series exactly. For a chaotic system, the largest Lyapunov exponent (LLE) is positive. So estimating the largest Lyapunov exponent is an important for a nonlinear system. In this paper, the problems of LEs of difference differential dynamic system are discussed. An algorithm for estimating the largest
In this paper, the globally exponential stability of BAM neural networks with time delays and imp... more In this paper, the globally exponential stability of BAM neural networks with time delays and impulses has been studied. Different from most existing publications, the case of variable time impulses is dealt with in the present paper, i.e., impulse occurring is not at fixed instants but depends on the states of systems. By using Lyapunov function and inequality technique, some
International Journal of Control Automation and Systems, 2013
ABSTRACT This paper further investigates the problem of intermittent control of a memristor-based... more ABSTRACT This paper further investigates the problem of intermittent control of a memristor-based Chua’s oscillator and presents the oscillator as the T-S fuzzy model system. Based on Lyapunov stability theory, we design an intermittent controller to guarantee the stability of the chaotic system. Simulation results are presented to verify the effectiveness of the method.
2004 International Conference on Communications, Circuits and Systems (IEEE Cat. No.04EX914), 2004
... Server computes auth '=Tr(TJ(m)) and compare outh&am... more ... Server computes auth '=Tr(TJ(m)) and compare outh' with outh. If auth=auth', the identity ofUser is authenticated and User will he allowed to visit the resource ... If auth=auth', User will be allowed to visit the resource in Server; otherwise.User will be refused. ...
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