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Observer-Based Synchronization of a New Hybrid Chaotic System and Its Application to Secure Communications

100%

Bouraoui H., Kemih K.

Acta Physica Polonica A

2013

vol. 123

issue 2

259-262

This paper presents an interesting issue of using hybrid dynamical system to chaos synchronization and its application in secure communication using a new 5D hyperchaotic systems. The slave system is modeled by an unknown input observer, in which the unknown input issued from the hybrid system is the transmitted information. Based on the descriptor observer design, the Lyapunov stability theory and some robustness criteria, new sufficient synthesis conditions are given in terms of linear matrix inequalities that we can obtain the estimations of both the hybrid system states and the transmitted signals. Numerical examples are provided to show the performances of the proposed approach.

Impulsive Control and Synchronization of a New 5D Hyperchaotic System

81%

Kemih K., Bouraoui H., Messadi M., Ghanes M.

Acta Physica Polonica A

2013

vol. 123

issue 2

193-195

This paper investigates the control and the synchronization of a new 5D hyperchaotic system. Based on the impulsive control theory, some new and less conservative criteria for the global exponential stability and asymptotical stability of impulsively controlled 5D hyperchaotic system, are obtained with varying impulsive interval. Finally, numerical simulations are given to demonstrate the effectiveness of the proposed control and synchronization methodology.

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2 Acta Physica Polonica A

2 2013

2 Bouraoui H.

2 Kemih K.

1 Ghanes M.

1 Messadi M.

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Observer-Based Synchronization of a New Hybrid Chaotic System and Its Application to Secure Communications

Impulsive Control and Synchronization of a New 5D Hyperchaotic System