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The main objective of this paper is to extend previous results on Halanay inequality for impulsive delayed dynamical systems. Based on the Razumikhin technique, a generalized Halanay differential inequality on impulsive delayed dynamical systems is analytically established. Compared with some existing works, the distinctive feature of this work is that it can be used to stabilize an unstable delayed...
The issues of impulsive control and synchronization of hyperchaotic Chua system are investigated in this paper. Based on the impulsive control theory of dynamical systems, some simple yet less conservative criteria for asymptotical stabilization and synchronization of impulsively controlled hyperchaotic Chua system are established. It is shown that impulses play an important role in making the controlled...
The 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 such neural networks are derived analytically....
This brief considers the global exponential stability of impulsive delayed linear differential equations. By utilizing the Lyapunov function methods combined with the Razumikhin technique, several criteria on exponential stability are analytically derived, which are substantially an extension and a generalization of the corresponding results in recent literature. Compared with some existing works,...
This paper proposes several locally and globally adaptive synchronization criterions for uncertain complex dynamical networks. Especially, our hypotheses and designed adaptive controllers for network synchronization are rather simple in form. Furthermore, numerical simulations are used to illustrate the effectiveness of our synchronization criterions
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