On the estimation of the domain of attraction for uncertain polynomial systems via LMIs

Proceedings of the IEEE Conference on Decision and Control

Volumn 1, Issue , 2004, Pages 881-886

  Chesi, Graziano ^a  

^a UNIVERSITY OF SIENA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; LYAPUNOV METHODS; OPTIMIZATION; PARAMETER ESTIMATION; POLYNOMIALS;

CONVEX OPTIMIZATION; EQUILIBRIUM POINTS; LOCAL STABILITY; LOWER BOUNDS;

UNCERTAIN SYSTEMS;

EID: 14344253993     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/cdc.2004.1428796     Document Type: Conference Paper

References (9)

1. R. Genesio, M. Tartaglia, and A. Vicino, "On the estimation of asymptotic stability regions: State of the art and new proposals," IEEE Trans. on Automatic Control, vol. 30, pp. 747-755, 1985.
2. H. K. Khalil, Nonlinear Systems, 3rd ed. Prentice Hall, 2001.
3. P. A. Parrilo, "Structured semidefinite programs and semialgebraic geometry methods in robustness and optimization," Ph.D. dissertation, California Institute of Technology, 2000.
4. B. Tibken, "Estimation of the domain of attraction for polynomial systems via LMI's," in Proc. of 39th IEEE Conf. on Decision and Control, Sydney, Australia, 2000, pp. 3860-3864.
5. O. Hachicho and B. Tibken, "Estimating domains of attraction of a class of nonlinear dynamical systems with LMI methods based on the theory of moments," in Proc. of 41st IEEE Conf. on Decision and Control, Las Vegas, Nevada, 2002, pp. 3150-3155.
6. G. Chesi, A. Garulli, A. Tesi, and A. Vicino, "Solving quadratic distance problems: an LMI-based approach," IEEE Trans. on Automatic Control, vol. 48, no. 2, pp. 200-212, 2003.
7. Y. Nesterov and A. Nemirovsky, Interior Point Polynomial Methods in Convex Programming: Theory and Applications. Philadelphia: SIAM, 1993.
8. S. Boyd, L. El Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia: SIAM, 1994.
9. F. Camilli, L. Grüne, and F. Wirth, "A generalization of Zubov's method to perturbed systems," SIAM Journal on Control and Optimization, vol. 40, no. 2, pp. 496-515, 2001.