An anti-synchronization scheme is proposed to achieve the anti-synchronization behavior between chaotic systems with fully unknown parameters.A sliding surface and an adaptive sliding mode controller are designed to g...An anti-synchronization scheme is proposed to achieve the anti-synchronization behavior between chaotic systems with fully unknown parameters.A sliding surface and an adaptive sliding mode controller are designed to gain the anti-synchronization.The stability of the error dynamics is proven theoretically using the Lyapunov stability theory.Finally numerical results are presented to justify the theoretical analysis.展开更多
We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters.It is shown that the dynamical evolution of a third-ord...We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters.It is shown that the dynamical evolution of a third-order chaotic system can be synchronized and anti-synchronized with a fourth-order chaotic system even though their parameters are unknown.Theoretical analysis and numerical simulations are carried out to verify the results.展开更多
An adaptive control scheme is developed to study the synchronization and the anti-synchronization behaviors between two identical Lorenz–Stenflo systems with unknown parameters.This adaptive controller is designed ba...An adaptive control scheme is developed to study the synchronization and the anti-synchronization behaviors between two identical Lorenz–Stenflo systems with unknown parameters.This adaptive controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown.Theoretical analysis and numerical simulations are shown to verify the results.展开更多
基金Supported by the Malaysian Ministry of Higher Education under Grant No UKM-DLP-2011-016.
文摘An anti-synchronization scheme is proposed to achieve the anti-synchronization behavior between chaotic systems with fully unknown parameters.A sliding surface and an adaptive sliding mode controller are designed to gain the anti-synchronization.The stability of the error dynamics is proven theoretically using the Lyapunov stability theory.Finally numerical results are presented to justify the theoretical analysis.
基金by the Universiti Kebangsaan Malaysia under Grant No UKM-DLP-2011-016.
文摘We elaborate the concept of increasing-order synchronization and anti-synchronization of chaotic systems via an adaptive control scheme and modulation parameters.It is shown that the dynamical evolution of a third-order chaotic system can be synchronized and anti-synchronized with a fourth-order chaotic system even though their parameters are unknown.Theoretical analysis and numerical simulations are carried out to verify the results.
文摘An adaptive control scheme is developed to study the synchronization and the anti-synchronization behaviors between two identical Lorenz–Stenflo systems with unknown parameters.This adaptive controller is designed based on Lyapunov stability theory and an analytic expression of the controller with its adaptive laws of parameters is shown.Theoretical analysis and numerical simulations are shown to verify the results.
