Generalization of Kalman-Yakubovič-Popov Lemma for Restricted Frequency Inequalities

Proceedings of the American Control Conference

Volumn 5, Issue , 2003, Pages 3828-3833

  Iwasaki, T ^a   Hara, S ^b  

^a University of Virginia   (United States)

^b UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

FREQUENCY DOMAIN ANALYSIS; MATRIX ALGEBRA; OPTIMAL CONTROL SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); STATE SPACE METHODS; SYSTEM STABILITY; THEOREM PROVING;

RESTRICTED FREQUENCY INEQUALITIES;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0142138617     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (8)

1. B. D. O. Anderson. A system theory criterion for positive real matrices. SIAM J. Contr., 5:171-182, 1967.
2. A. Rantzer. On the Kalman-Yakubovich-Popov lemma. Sys. Contr. Lett., 28(1), 1996.
3. T. Iwasaki, G. Meinsma, and M. Fu. Generalized S-procedure and finite frequency KYP lemma. Mathematical Problems in Engineering, 6:305-320, 2000.
4. T. Iwasaki, S. Hara, and H. Yamauchi. Dynamical system design from a control perspective: Finite frequency positive-realness approach. IEEE Trans. Auto. Contr., 2003. (To appear).
5. A. Sideris. Elimination of frequency search from robustness tests. IEEE Trans. Auto. Contr., 37(10): 1635-1640, 1992.
6. Y. Genin, Y. Hachez, Yu. Nesterov, and P. Van Dooren. Convex optimization over positive polynomials and filter design. Proc. 2000 UKACC Int. Conf. Contr., 2000.
7. J. C. Willems. Least squares stationary optimal control and the algebraic Riccati equation. IEEE Trans. Auto. Contr., 16:621-634, 1971.
8. C. Scherer. When are multiplier relaxations exact? IFAC Sympo. Robust Contr., 2003. (Submitted preprint).