%0 Journal Article %1 noauthororeditor %A Vaidyanathan, Sundarapandian %D 2011 %J International Journal of Computer Science, Engineering and Information Technology (IJCSEIT) %K Adaptive Attractor Chaos Control Lyapunov Lü-like Stability Stabilization Synchronization Theory %N 4 %P 15-26 %R 10.5121/ijcseit.2011.1402 %T ADAPTIVE STABILIZATION AND SYNCHRONIZATION OF LÜ-LIKE ATTRACTOR %U http://airccse.org/journal/ijcseit/papers/1011ijcseit02.pdf %V 1 %X This paper derives new results for the adaptive chaos stabilization and synchronization of Lü-like attractor with unknown parameters. The Lü-like attractor is one of the recently discovered 3-scroll chaotic systems, which was proposed by D. Li (2007). First, adaptive control laws are determined to stabilize the Lü-like attractor to its unstable equilibrium at the origin. These adaptive laws are established using Lyapunov stability theory. Then adaptive synchronization laws are determined so as to achieve global chaos synchronization of identical Lü-like attractors with unknown parameters. Numerical simulations are presented to validate and demonstrate the effectiveness of the proposed adaptive control and synchronization schemes for the Lü-like attractor.

@article{noauthororeditor, abstract = {This paper derives new results for the adaptive chaos stabilization and synchronization of Lü-like attractor with unknown parameters. The Lü-like attractor is one of the recently discovered 3-scroll chaotic systems, which was proposed by D. Li (2007). First, adaptive control laws are determined to stabilize the Lü-like attractor to its unstable equilibrium at the origin. These adaptive laws are established using Lyapunov stability theory. Then adaptive synchronization laws are determined so as to achieve global chaos synchronization of identical Lü-like attractors with unknown parameters. Numerical simulations are presented to validate and demonstrate the effectiveness of the proposed adaptive control and synchronization schemes for the Lü-like attractor.}, added-at = {2018-10-18T07:20:42.000+0200}, author = {Vaidyanathan, Sundarapandian}, biburl = {https://www.bibsonomy.org/bibtex/2a1afca6ecdc6e103bdf824f23c7687c3/ijcseit}, doi = {10.5121/ijcseit.2011.1402}, interhash = {e5611a33751a0a23b8f5dbfe95820a48}, intrahash = {a1afca6ecdc6e103bdf824f23c7687c3}, issn = {2231-3117 [Online] ; 2231-3605 [Print]}, journal = {International Journal of Computer Science, Engineering and Information Technology (IJCSEIT)}, keywords = {Adaptive Attractor Chaos Control Lyapunov Lü-like Stability Stabilization Synchronization Theory}, language = {English}, month = oct, number = 4, pages = {15-26}, timestamp = {2018-10-18T07:20:42.000+0200}, title = {ADAPTIVE STABILIZATION AND SYNCHRONIZATION OF LÜ-LIKE ATTRACTOR }, url = {http://airccse.org/journal/ijcseit/papers/1011ijcseit02.pdf}, volume = 1, year = 2011 }