An invariant-manifold-based method for chaos control

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 48, Issue 8, 2001, Pages 930-937

  Yu, Xinghuo ^a,b   Chen, Guanrong ^a,c   Xia, Yang ^d   Song, Yanxing ^b   Cao, Zhenwei ^b  

^a IEEE   (Australia)

^b CENTRAL QUEENSLAND UNIVERSITY   (Australia)

^c UNIVERSITY OF HOUSTON   (United States)

^d YANGZHOU UNIVERSITY   (China)

Author keywords

Chaos; Invariant manifold; Stabilization; Tracking control

Indexed keywords

INVARIANT MANIFOLDS;

EIGENVALUES AND EIGENFUNCTIONS; INVARIANCE; ROTORS; SLIDING MODE CONTROL;

CHAOS THEORY;

EID: 0035417838     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.940183     Document Type: Article

References (21)

1. Removal, suppression, and control of chaos by nonlinear design
2. Techniques for the control of chaos
3. Controlling chaos in high dimensions
4. Taming chaos: Part II-control
5. New method for stabilization of unstable periodic orbits in chaotic systems
6. Controlling chaos
7. Using chaos to direct orbits to targets in systems describable by a one-dimensional map
8. Analysis and design of variable structure systems using a geometric approach
9. Introduction to variable structure and Lyapunov control
10. Variable structure control approach for controlling chaos
11. Tracking inherent periodic orbits using time delayed variable structure self-control
12. Digital variable structure control with pseudo-sliding modes
13. Quadratic weights for asymptotic regulator properties
14. Poles and zeros of linear multivariable systems: A survey of the algebraic, geometric, and complex variable theory
15. Multidimensional intertwined basin boundaries: Basin structure of the kicked double rotor
16. Controlling chaotic dynamical systems