LMI optimization approach to stabilization of time-delay chaotic systems

Chaos, Solitons and Fractals

Volumn 23, Issue 2, 2005, Pages 445-450

  Park, Ju H ^a   Kwon, O M ^b  

^a Yeungnam University   (South Korea)

^b Samsung Heavy Industries   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CLOSED LOOP CONTROL SYSTEMS; CONTROL EQUIPMENT; DELAY CIRCUITS; FEEDBACK CONTROL; MATRIX ALGEBRA; OPTIMIZATION; SET THEORY;

CONTROLLER DESIGNS; LINEAR MATRIX INEQUALITY (LMI); TIME DELAY CHAOTIC SYSTEMS;

CHAOS THEORY;

EID: 4243108329     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2004.04.024     Document Type: Article

References (15)

1. Hale J., Verduyn Lunel S.M. Introduction to functional differential equations. 1993;Springer-Verlag, New York.
2. Richard J.R. Time-delay systems: an overview of some recent advances and open problems. Automatica. 39:2003;1667-1694.
3. Park J.H. Robust stabilization for dynamic systems with multiple time-varying delays and nonlinear uncertainties. J. Optim. Theory Appl. 108:2001;155-174.
4. Mackey M., Glass L. Oscillation and chaos in physiological control system. Science. 197:1977;287-289.
5. Lu H., He Z. Chaotic behavior in first-order autonomous continuous-time systems with delay. IEEE Trans. Circ. Syst. 43:1996;700-702.
6. Tian Y., Gao F. Adaptive control of chaotic continuous-time systems with delay. Physica D. 117:1998;1-2.
7. Chen G., Yu H. On time-delayed feedback control of chaotic systems. IEEE Trans. Circ. Syst. 46:1999;767-772.
8. Guan X.P., Chen C.L., Peng H.P., Fan Z.P. Time-delayed feedback control of time-delay chaotic systems. Int. J. Bifurcat. Chaos. 13:2003;193-205.
9. Sun J. Delay-dependent stability criteria for time-delay chaotic systems via time-delay feedback control. Chaos, Solitions & Fractals. 21:2004;143-150.
10. Ott E., Grebogi C., Yorke J.A. Controlling chaos. Phys. Rev. Lett. 64:1990;1196-1199.
11. Yue D., Won S. Delay-dependent robust stability of stochastic systems with time delay and nonlinear uncertainties. Elect. Lett. 37:2001;992-993.
12. Boyd S., Ghaoui L.E., Feron E., Balakrishnan V. Linear matrix inequalities in systems and control theory. 1994;SIAM, Philadelphia.
13. Gu K. An integral inequality in the stability problem of time-delay systems. In: Proceedings of IEEE CDC, December 2000, Australia. p. 2805-10.
14. Gahinet P., Nemirovski A., Laub A., Chilali M. LMI control toolbox user's guide. 1995;The Mathworks, Massachusetts.
15. Shobukhov A. Complex dynamic behavior in a model of electro-optic device with time-delayed feedback. Int. J. Bifurcat. Chaos. 8:1998;1347-1354.