Proper stable factorizations for time-delay systems

ECC 1997 - European Control Conference

Volumn , Issue , 1997, Pages 2641-2646

  Brethe D ^a   Loiseau, J J ^a  

^a ECOLE CENTRALE DE NANTES   (France)

Author keywords

Delay systems; Factorization approach; Linear systems

Indexed keywords

FACTORIZATION; LINEAR SYSTEMS; STABILIZATION; TIME DELAY; TIMING CIRCUITS;

CLASSICAL CONTROL THEORY; DELAY SYSTEMS; EXACT MODEL MATCHING; FACTORIZATION APPROACH; TIME-DELAY SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 84949104036     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.1997.7082506     Document Type: Conference Paper

References (18)

1. K. P. M. Bhat and H. N. Koivo, "Modal characterization of controllability and observability in time-delay systems", IEEE Trans. Automatic Control, 21, pp. 292-293, (1976).
2. D. Brethé and J. J. Loiseau, "Stabilization of timedelay systems", Proc. of the conference "Analyse et Commande des Systèmes avec Retards", Nantes, France, (1996).
3. D. Brethé and J. J. Loiseau, "A result that could bear fruit for the control of delay-differential systems", Proc. of the 4th IEEE Mediterranean Symp. Control Automation, Chania, Greece, pp. 115-128, (1996).
4. R. F Curtain and H. J. Zwart, "A model reduction approach to robust control design for linear infinitedimensional systems", Report R-9501, University of Gronigen, The Netherlands, (1995).
5. E. Emre and G. J. Knowles, "Control of linear systems with fixed noncommensurate point delays", IEEE Trans. Automatic Control, 29, pp. 1083-1090, (1984).
6. H. Glüsing-Lüerfßen, "A behavioral approach to delay-differential systems", submitted to SIAM J. Control Opt., (1995).
7. L. Habets, Algebraic and computational aspects of time-delay systems, Thesis, Eindhoven, (1994).
8. J. K. Hale, Theory of functional differential equations, Springer-Verlag, New York, (1977).
9. E. W. Kamen, "On an algebraic theory of systems defined by convolution operators", Math. Systems Theory, 9, pp. 57-74, (1975).
10. E. W. Kamen, P. P. Khargonekar and A. Tannenbaum, "Proper stable bezout factorizations and feedback control of linear time-delay systems", Int. J. Control, 43, pp. 837-857, (1986).
11. V. Kučera, Analysis and design of discrete linear control systems, Prentice-Hall, London, (1991).
12. J. J. Loiseau and D. Brethé, "2-D exact model matching with stability, the structural approach", MTNS'96, St Louis, MO, (1996).
13. A. Z. Manitius and A. W. Olbrot, "Finite spectrum assignment problem for systems with delays", IEEE Trans. Automatic Control, 24, pp. 541-553, (1979).
14. M. Morf, B. C. Lévy and S. Y. Kung, "New results in 2-D systems theory, Part I: 2-D polynomial matrices, factorization, and coprimeness", Proceedings of the IEEE, 65, pp. 861-872, (1977).
15. L. Pandolfi, "Dynamic stabilization of systems with input delays", Automatica, 27, pp. 1047-1050, (1991).
16. P. Picard, Sur l'observabilité et la commande des systèmes linéaires á retards modelisés sur un anneau, PhD Thesis, Nantes, (1996).
17. M. Vidyasagar, Control system synthesis, a factorization approach, MIT Press, Cambridge, MA, (1985).
18. D. C. Youla, J. J. Bongiorno, Jr and H. A. Jabr, "Modern Wiener-Hopf design of optimal controllers, Part I: the single-input case", IEEE Trans. Automatic Control, 21, pp. 3-14, (1976).