Adaptive synchronization of chaotic systems with less measurement and actuation |
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Affiliation: | 1.School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 201144, China;2.INRIA Lille-Nord Europe, 40 Avenue Halley, 59650, Villeneuve d'Ascq, France |
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Abstract: | We investigate the synchronization problem between identical chaotic systems only when necessary measurement(output) and actuation(input) are needed to be implemented by the adaptive controllers. A sufficient condition is derived based on the Lyapunov stability theory and Schur complementary lemma. Moreover, the theoretic result is applied to the Rikitake system and the hyperchaotic Liu system to show its effectiveness and correctness. Numerical simulations are presented to verify the results. |
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Keywords: | chaotic systems adaptive synchronization linear matrix inequality |
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