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 i...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.展开更多
基金supported by the National Natural Science Foundation of China(Grant Nos.61573192 and 51875293)。
文摘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.