Research of Time-Delay Chaotic Systems via Linear Feedback
Based on the Razumikhin theorem of time-delay systems, this paper discusses chaos control and synchronization of chaotic systems with time-varying lags. A novel method for time-delay chaotic systems is derived. Linear and feasible controller is designed to control and synchronize Lorenz system with time-varying lags. The proposed controller can realize chaos control even though there exist unknown time-varying lags. This method can be applied to a class of systems with different time-varying delays too. Numerical simulation results are given to show the effectiveness of the proposed method.
KeywordsLorenz system Chaos Synchronization Lyapunov-Razumikhin function Time-delay Linear controller
Unable to display preview. Download preview PDF.
- 17.Zhang, X.H., Cui, Z.Y., Zhu, Y.Y.: Synchronization and circuit experiment simulation of chaotic time-delay systems. In: IEEE 2009 Pacific-Asia Conference on Circuits, Communications and System (2009)Google Scholar
- 21.Razumikhin, B.S.: On the stability of systems with a delay. Prikl. Mat. Mekh 20, 500–512 (1956) (Russian)Google Scholar