@article{MAKHILLIJSSCEA202013428795, title = {Adaptive Controller Design for the Generalized Projective Synchronization of Hyperchaotic Lü and Hyperchaotic Cai Systems}, journal = {International Journal of System Signal Control and Engineering Application}, volume = {13}, number = {4}, pages = {79-94}, year = {2020}, issn = {1997-5422}, doi = {ijssceapp.2020.79.94}, url = {https://makhillpublications.co/view-article.php?issn=1997-5422&doi=ijssceapp.2020.79.94}, author = {P. and}, keywords = {generalized projective synchronization,hyperchaotic systems,hyperchaos,chaos synchronization,Adaptive control,hyperchaotic Lu system,hyperchaotic Cai system}, abstract = {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.} }