This paper presents the control and synchronization of chaos by designing linear feedback controllers. The linear feedback control problem for nonlinear systems has been formulated under optimal control theory viewpoint. Asymptotic stability of the closed-loop nonlinear system is guaranteed by means
Generating hyperchaotic Lü attractor via state feedback control
✍ Scribed by Aimin Chen; Junan Lu; Jinhu Lü; Simin Yu
- Book ID
- 104078056
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 816 KB
- Volume
- 364
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
This paper constructs a new hyperchaotic system based on Lu¨system by using a state feedback controller. The detailed dynamical behaviors of this hyperchaotic system are further investigated, including Lyapunov exponents spectrum, bifurcation, and Poincare´mapping. Moreover, a novel circuit diagram is designed for verifying the hyperchaotic behaviors and some experimental observations are also given.
📜 SIMILAR VOLUMES
A passivity feedback control scheme with time-varying gains is proposed for adaptive synchronization of hyperchaotic systems. By transforming the synchronization error dynamics into an equivalent passive system, a synchronization control law with time-varying gains is achieved and the convergence of