Abstract
In this paper, new results based on the sliding mode control are derived for the global chaos synchronization of identical Coullet chaotic systems (1981). The stability results for the sliding mode control based synchronization schemes derived in this paper are established using Lyapunov stability theory. Since the Lyapunov exponents are not required for these calculations, the sliding mode control method is very effective and convenient to achieve global chaos synchronization of the identical Coullet chaotic systems. Numerical simulations are shown to illustrate the effectiveness of the sliding mode control results derived in this paper for the identical Coullet chaotic systems.
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© 2012 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Vaidyanathan, S., Sampath, S. (2012). Sliding Mode Controller Design for the Global Chaos Synchronization of Coullet Systems. In: Meghanathan, N., Chaki, N., Nagamalai, D. (eds) Advances in Computer Science and Information Technology. Networks and Communications. CCSIT 2012. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 84. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27299-8_12
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DOI: https://doi.org/10.1007/978-3-642-27299-8_12
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