Chaojie Li - Academia.edu (original) (raw)

Papers by Chaojie Li

Research paper thumbnail of Destabilizing Effects of Impulse in Delayed Bam Neural Networks

Modern Physics Letters B, 2009

This paper further studies the global exponential stability of the equilibrium point of the delay... more This paper further studies the global exponential stability of the equilibrium point of the delayed bidirectional associative memory (DBAM) neural networks with impulse effects. Several results characterizing the aggregated effects of impulse and dynamical property of the impulse-free DBAM on the exponential stability of the considered DBAM have been established. It is shown that the impulsive DBAM will preserve the

Research paper thumbnail of Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction–diffusion

International Journal of Computer Mathematics, 2011

The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural... more The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural networks with time-varying delays and reaction-diffusion terms has been investigated in this paper. Using the Lyapunov function method and M-matrix theory, we establish the global exponential stability of the neural networks with its estimated exponential convergence rate. As an illustration, a numerical example is given using the results.

Research paper thumbnail of Edge detection of noisy images based on cellular neural networks

Communications in Nonlinear Science and Numerical Simulation, 2011

This paper studies a technique employing both cellular neural networks (CNNs) and linear matrix i... more This paper studies a technique employing both cellular neural networks (CNNs) and linear matrix inequality (LMI) for edge detection of noisy images. Our main work focuses on training templates of noise reduction and edge detection CNNs. Based on the Lyapunov stability theorem, we derive a criterion for global asymptotical stability of a unique equilibrium of the noise reduction CNN. Then we design an approach to train edge detection templates, and this approach can detect the edge precisely and efficiently, i.e., by only one iteration. Finally, we illustrate performance of the proposed methodology from the aspect of peak signal to noise ratio (PSNR) through computer simulations. Moreover, some comparisons are also given to prove that our method outperforms classical operators in gray image edge detection.

Research paper thumbnail of Stability of Hopfield neural networks with time delays and variable-time impulses

Neural Computing and Applications

The stability of Hopfield neural networks with fixed-time impulses has been intensively investiga... more The stability of Hopfield neural networks with fixed-time impulses has been intensively investigated in recent years. However, few existing publications addressed the stability of delayed neural networks with variable-time impulses. In this paper, we consider the case of variable-time impulses and attempt to establish the general stability criteria. It shows that the proposed results can also be applied to the case of fixed-time impulses, which provide a new stability condition for the case of fixed-time impulses. To illustrate the effectiveness of our theoretical results, numerical examples and simulations are also presented.

Research paper thumbnail of Chaos control and synchronization via a novel chatter free sliding mode control strategy

Neurocomputing, 2011

In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos cont... more In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization.

Research paper thumbnail of Impulsive effects on stability of high-order BAM neural networks with time delays

Neurocomputing, 2011

The problem of Impulsive effects on stability analysis of high-order BAM neural networks with tim... more The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given.

Research paper thumbnail of Destabilizing Effects of Impulse in Delayed Bam Neural Networks

Modern Physics Letters B, 2009

This paper further studies the global exponential stability of the equilibrium point of the delay... more This paper further studies the global exponential stability of the equilibrium point of the delayed bidirectional associative memory (DBAM) neural networks with impulse effects. Several results characterizing the aggregated effects of impulse and dynamical property of the impulse-free DBAM on the exponential stability of the considered DBAM have been established. It is shown that the impulsive DBAM will preserve the

Research paper thumbnail of Exponential stability of impulsive high-order Hopfield-type neural networks with delays and reaction–diffusion

International Journal of Computer Mathematics, 2011

The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural... more The problem of global exponential stability analysis of Impulsive high-order Hopfield-type neural networks with time-varying delays and reaction-diffusion terms has been investigated in this paper. Using the Lyapunov function method and M-matrix theory, we establish the global exponential stability of the neural networks with its estimated exponential convergence rate. As an illustration, a numerical example is given using the results.

Research paper thumbnail of Edge detection of noisy images based on cellular neural networks

Communications in Nonlinear Science and Numerical Simulation, 2011

This paper studies a technique employing both cellular neural networks (CNNs) and linear matrix i... more This paper studies a technique employing both cellular neural networks (CNNs) and linear matrix inequality (LMI) for edge detection of noisy images. Our main work focuses on training templates of noise reduction and edge detection CNNs. Based on the Lyapunov stability theorem, we derive a criterion for global asymptotical stability of a unique equilibrium of the noise reduction CNN. Then we design an approach to train edge detection templates, and this approach can detect the edge precisely and efficiently, i.e., by only one iteration. Finally, we illustrate performance of the proposed methodology from the aspect of peak signal to noise ratio (PSNR) through computer simulations. Moreover, some comparisons are also given to prove that our method outperforms classical operators in gray image edge detection.

Research paper thumbnail of Stability of Hopfield neural networks with time delays and variable-time impulses

Neural Computing and Applications

The stability of Hopfield neural networks with fixed-time impulses has been intensively investiga... more The stability of Hopfield neural networks with fixed-time impulses has been intensively investigated in recent years. However, few existing publications addressed the stability of delayed neural networks with variable-time impulses. In this paper, we consider the case of variable-time impulses and attempt to establish the general stability criteria. It shows that the proposed results can also be applied to the case of fixed-time impulses, which provide a new stability condition for the case of fixed-time impulses. To illustrate the effectiveness of our theoretical results, numerical examples and simulations are also presented.

Research paper thumbnail of Chaos control and synchronization via a novel chatter free sliding mode control strategy

Neurocomputing, 2011

In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos cont... more In this paper, we propose a novel chatter free sliding mode control (SMC) strategy for chaos control and synchronization to the nonlinear uncertain chaotic systems. A new sort of dynamical sliding mode surface with both integral and differential operators is introduced to divert the discontinuous sign function switch term into the first derivative of the control input; hence a chatter free control input is obtained for the chaotic systems with uncertainties. Based on the Lyapunov stability theory and SMC technique, stability analysis is performed and a theorem serving as designing the chatter free sliding mode control input is also proposed. In the simulation part, first, the results regarding chaos control and synchronization are given to show that the proposed strategy can control the states of the uncertain chaotic systems to desired states with fast speed. In order to show the advantage of eliminating chatter in control input of our method, we give the simulation results performed by traditional SMC and the method proposed recently. Simulation results indicate that this novel chatter free sliding mode control strategy is very effective to chaos control and synchronization.

Research paper thumbnail of Impulsive effects on stability of high-order BAM neural networks with time delays

Neurocomputing, 2011

The problem of Impulsive effects on stability analysis of high-order BAM neural networks with tim... more The problem of Impulsive effects on stability analysis of high-order BAM neural networks with time delays is investigated in this paper. By using the Lyapunov technique and Razumikhin method, we characterize theoretically the aggregated effects of impulse and stability properties of impulse-free version and then analyze the stabilizing mechanism and destabilizing mechanism of impulses, respectively. The present approaches allow us to estimate the feasible upper bounds of impulse strengths and can also extend to the more general impulsive nonlinear systems with delays. To demonstrate the effectiveness of theoretical results, several numerical examples are given.