@article{MAKHILLIJSSCEA20125228720, title = {Adaptive Controller Design for the Generalized Projective Synchronization of 4-Scroll Systems}, journal = {International Journal of System Signal Control and Engineering Application}, volume = {5}, number = {2}, pages = {21-30}, year = {2012}, issn = {1997-5422}, doi = {ijssceapp.2012.21.30}, url = {https://makhillpublications.co/view-article.php?issn=1997-5422&doi=ijssceapp.2012.21.30}, author = {P. and}, keywords = {Adaptive control,chaos,chaotic systems,4-scroll systems,generalized projective synchronization,Liu-Chen system,Lu-Chen-Cheng system}, abstract = {This study investigates the adaptive controller design for the Generalized Projective Synchronization (GPS) of identical Liu-Chen 4-scroll chaotic systems, identical Lu-Chen-Cheng 4-scroll chaotic systems and non-identical Liu-Chen and Lu-Chen-Cheng 4-scroll chaotic systems. Lyapunov Stability Theory is the methodology used for establishing the adaptive GPS synchronization results derived in this study. 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 4-scroll chaotic systems. Numerical simulations are shown to demonstrate the effectiveness of the adaptive GPS synchronization results derived in this study for the 4-scroll chaotic systems.} }