%0 Journal Article %1 noauthororeditor %A Vaidyanathan, Sundarapandian %D 2011 %J International Journal of Advanced Information Technology (IJAIT) %K Adaptive Chaos Control Prototype-4 Rössler Stabilization Synchronization System %N 5 %P 11-21 %R 10.5121/ijait.2011.1502 %T ADAPTIVE CONTROL AND SYNCHRONIZATION OF RÖSSLER PROTOTYPE-4 SYSTEM %U http://airccse.org/journal/IJAIT/papers/1011ijait02.pdf %V 1 %X This paper investigates the adaptive control and synchronization of Rössler prototype-4 system with unknown parameters. The Rössler prototype-4 system is a classical three-dimensional chaotic system studied by O.E. Rössler (1979). First, adaptive control laws are designed to stabilize the Rössler prototype-4 system to its unstable equilibrium at the origin based on the adaptive control theory and Lyapunov stability theory. Then adaptive control laws are derived to achieve global chaos synchronization of identical Rössler prototype-4 systems with unknown parameters. Numerical simulations are shown to validate and illustrate the effectiveness of the proposed adaptive control and synchronization schemes for the Rössler prototype-4 system.

@article{noauthororeditor, abstract = {This paper investigates the adaptive control and synchronization of Rössler prototype-4 system with unknown parameters. The Rössler prototype-4 system is a classical three-dimensional chaotic system studied by O.E. Rössler (1979). First, adaptive control laws are designed to stabilize the Rössler prototype-4 system to its unstable equilibrium at the origin based on the adaptive control theory and Lyapunov stability theory. Then adaptive control laws are derived to achieve global chaos synchronization of identical Rössler prototype-4 systems with unknown parameters. Numerical simulations are shown to validate and illustrate the effectiveness of the proposed adaptive control and synchronization schemes for the Rössler prototype-4 system. }, added-at = {2019-08-22T13:03:52.000+0200}, author = {Vaidyanathan, Sundarapandian}, biburl = {https://www.bibsonomy.org/bibtex/2728b11c041d9dc9f01981de1e5e6ef53/ijaitislive}, doi = {10.5121/ijait.2011.1502}, interhash = {c70133387d7d8538bd6dda664974eccb}, intrahash = {728b11c041d9dc9f01981de1e5e6ef53}, issn = {2231 - 1548 [Online] ; 2231 - 1920 [Print]}, journal = {International Journal of Advanced Information Technology (IJAIT) }, keywords = {Adaptive Chaos Control Prototype-4 Rössler Stabilization Synchronization System}, language = {English}, month = {October}, number = 5, pages = {11-21}, timestamp = {2019-08-22T13:03:52.000+0200}, title = {ADAPTIVE CONTROL AND SYNCHRONIZATION OF RÖSSLER PROTOTYPE-4 SYSTEM}, url = {http://airccse.org/journal/IJAIT/papers/1011ijait02.pdf}, volume = 1, year = 2011 }