TY - JOUR T1 - Adaptive Controller Design for the Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems AU - Sarasu, P. AU - Sundarapandian, V. JO - International Journal of System Signal Control and Engineering Application VL - 13 IS - 4 SP - 79 EP - 94 PY - 2020 DA - 2001/08/19 SN - 1997-5422 DO - ijssceapp.2020.79.94 UR - https://makhillpublications.co/view-article.php?doi=ijssceapp.2020.79.94 KW - generalized projective synchronization KW -hyperchaotic systems KW -hyperchaos KW -chaos synchronization KW -Adaptive control KW -hyperchaotic Lu system KW -hyperchaotic Cai system AB - This study presents the adaptive controller design for the Generalized Projective Synchronization (GPS) of identical hyperchaotic Lu systems, i.dentical hyperchaotic Cai systems and non-identical hyperchaotic L ü and hyperchaotic Cai systems. The adaptive GPS synchronization results derived in this study have been proved using the adaptive control theory and Lyapunov stability theory. Since, the Lyapunov exponents are not required for these calculations, the proposed adaptive control method is very effective and convenient for achieving the Generalized Projective Synchronization (GPS) of the hyperchaotic systems addressed in this study. Numerical simulations are shown to demonstrate the effectiveness of the adaptive GPS synchronization results derived in this study for the hyperchaotic Lü and hyperchaotic Cai systems. ER -