Ultimate bound sets of a hyperchaotic system and its application in chaos synchronization |
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| Authors: | Hassan Saberi Nik Sohrab Effati JAFAR Saberi‐Nadjafi |
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| Institution: | 1. Department of Applied Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran;2. The Center of Excellence on Soft Computing and Intelligent Information Processing (SCIIP), Ferdowsi University of Mashhad, Mashhad, Iran;3. The Center of Excellence on Modelling and Control Systems (CEMCS), Ferdowsi University of Mashhad, Mashhad, Iran |
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| Abstract: | In this article, we investigate globally exponentially attractive sets and chaos synchronization for a hyperchaotic system, namely, Lorenz–Stenflo system. For this system, two ellipsoidal globally exponentially attractive sets are derived based on generalized Lyapunov function theory and the extremum principle of function. Furthermore, we propose linear feedback control with a one, two, three, and four inputs to realize globally exponential synchronization of two four‐dimesional hyperchaotic systems using inequality techniques. Numerical simulations are presented to show the effectiveness of the proposed synchronization scheme. © 2014 Wiley Periodicals, Inc. Complexity 20: 30–44, 2015 |
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| Keywords: | globally exponentially attractive set generalized Lyapunov function globally exponential synchronization linear feedback Lorenz– Stenflo system |
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