Switch control for piecewise affine chaotic systems

Chaos

Volumn 16, Issue 3, 2006, Pages

  Li, Chuandong ^a   Liao, Xiaofeng ^a   Yang, Xiaofan ^a  

^a CHONGQING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33749332567     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2213676     Document Type: Article

References (20)

1. B. R. Andrievskii and A. L. Fradkov, "Control of chaos: Methods and applications I. Methods," Autom. Remote Control (Engl. Transl.) 64, 673-713 (2003).
2. B. R. Andrievskii and A. L. Fradkov, "Control of chaos: Methods and applications II. Applications," Autom. Remote Control (Engl. Transl.) 65, 505-533 (2004).
3. Guanrong Chen, Controlling Chaos and Bifurcations in Engineering Systems (CRC Press, New York, 1999).
4. G. Wang, X. Yu, and S. Chen, "The control, synchronization and application of chaos," The National Defence Industry Press, Beijing, 2001 (in Chinese).
5. S. Boccaletti, J. Kurths, G. Osipov, D. L. Vallares, and C. S. Zhou, "The synchronization of chaotic systems," Phys. Rep. 366, 1-101 (2002).
6. T. Yang, "Impulsive control theory" (Springer-Verlag, Berlin, 2001).
7. T. Yang and L. O. Chua, "Impulsive stability for control and synchronization of chaotic systems: Theory and application to secure communication," IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. 44, 976-988 (1997).
8. Chuandong Li and Xiaofeng Liao, "Impulsive synchronization of chaotic systems," Chaos 15, 023104 (2005).
9. Chuandong Li, Xiaofeng Liao, Xiaofan Yang, and Tingwen Huang, "Impulsive stabilization and synchronization of a class of chaotic delay systems," Chaos 15, 043103 (2005).
10. P. Gora, and A. Boyarsky, "A new approach to controlling chaotic systems," Physica D 111, 1-15 (1998).
11. E. M. Bollt, "Controlling chaos and inverse Frobenius-Perron problem: Global stabilization of arbitrary invariant measure," Int. J. Bifurcation Chaos Appl. Sci. Eng. 10(5), 1033-1050 (2000).
12. J. I. Imura and A. van der Schaft, "Characterization of well-posedness of piecewise-linear systems," IEEE Trans. Autom. Control 45, 1600-1619 (2000).
13. M. Johansson and A. Rantzer, "Computation of piecewise quadratic Lyapunov functions for hybrid systems," IEEE Trans. Autom. Control 43, 555-559 (1998).
14. A. Rantzer and M. Johansson, "Piecewise linear quadratic optimal control," IEEE Trans. Autom. Control 45, 629-637 (2000).
15. Gang Feng, G. P. Lu, and S.S. Zhou, "An approach to H infinite controller synthesis of piecewise linear systems," Commun. Inf. Syst. 2, 245-254 (2002).
16. Luis Rodrigues and Jonathan P. How, "Observer-based control of piecewise-affine systems," Int. J. Control 76, 459-477 (2003).
17. Luis Rodrigues, "State feedback control of piecewise-affine systems with norm bounded noise," Proceedings of 2005 American Control Conference, 2005, pp. 1793-1798.
18. L. Finco and C. Sprott, "More simple chaotic flows with ABS nonlinearity," available on http://sprott.physics.wisc.edu/chaos/finco/abs.html
19. G. F. V. Amaral, "Christophe Letellier, Luis Antonio Aguirre, Piecewise affine models of chaotic attractors: The Rössler and Lorenz systems," Chaos 16, 013115 (2006).
20. Hua O. Wang, Kazuo Tanaka, and Michael F. Griffin, "An approach to fuzzy control of nonlinear systems; Stability and design issues," IEEE Trans. Fuzzy Syst. 4(1), 14-23 (1996).