On chaotic synchronization via impulsive control and piecewise constant arguments

Date

2015-01-01

Author

Mohamad S, Alwan
Xınzhı, Lıu
Akhmet, Marat

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This paper is concerned with a system of differential equations with continuous and piecewise constants arguments of a delay type. An application to chaotic systems is presented and the synchronization problem is established, where the output of the sender system, evaluated at the piecewise constant arguments, is transmitted to the receiver system. A global synchronization is achieved via impulsive effects, which are evaluated at the discrete arguments. The methodology of Lyapunov function together with linear matrix inequality (LMI) is used to analyze the synchronization. This approach can be applied to chaos-based secure communications with transmission delay at individual moments. To justify the proposed theoretical result, the hyperchaotic Lü system is considered.

Subject Keywords

Asymptotic stability, Chaotic synchronization, Hyperchaotic lü, Impulses, LMI, Lyapunov function method, System

URI

http://online.watsci.org/abstract_pdf/2015v22/v22n1b-pdf/5.pdf
https://hdl.handle.net/11511/78927

Journal

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Collections

Department of Mathematics, Article

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Citation Formats

A. Mohamad S, L. Xınzhı, and M. Akhmet, “On chaotic synchronization via impulsive control and piecewise constant arguments,” Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms, pp. 53–67, 2015, Accessed: 00, 2021. [Online]. Available: http://online.watsci.org/abstract_pdf/2015v22/v22n1b-pdf/5.pdf.