Bounded domains and constrained control of linear time-delay systems

Journal Europeen des Systemes Automatises

Volumn 31, Issue 6, 1997, Pages 1001-1014

  Goubet Bartholoméus, Aude ^a   Dambrine, Michel ^a,b,c   Richard, Jean Pierre ^a,d,e,f  

^a ECOLE CENTRALE DE LILLE   (France)

^b LAIL   (France)

^c IDN   (France)

^d UNIV LILLE   (France)

^e IEEE   (Russian Federation)

^f NEW YORK ACADEMY OF SCIENCES   (United States)

Author keywords

Dynamics of the initial functions; Invariant sets; Size of the delay; Stability domains; Stabilization

Indexed keywords

EID: 0041292107     PISSN: 12696935     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (14)

1. Bitsoris G., "Existence of positively invariant polyhedral sets for continuous-time linear systems", Control-Theory and Advanced Technology, vol.7, No.3, p. 407-427, 1991.
2. Dambrine M., Contribution à l'étude de la stabilité des systèmes à retards, Thesis, University of Lille I, France, No. 1386, 1994.
3. Dambrine M., Richard J.P. and Borne P., "Feedback Control of time-delay systems with bounded control and state", J. Mathematical Problems in Engineering, vol.1, No.1, 1995.
4. Dambrine M., Goubet A., Richard J.P., "New results on constrained stabilizing control of time-delay systems", Proceedings of the 34th IEEE Conference on Decision and Control, New Orleans, p. 2052-2057, 1995.
5. Goubet A., Dambrine M., Richard J.P., "An extension of stability criteria for linear and nonlinear time-delay systems", Proceedings of the IFAC Conference on System Structure and Control, Nantes, France, p. 278-283, 1995.
6. Goubet-Bartholoméüs A., Dambrine M., Richard J.P., "Bounded domains and constrained control of linear and nonlinear time-delay systems", Colloque Analyse et Commande des systèmes avec retards, Nantes, France, 1996.
7. Goubet-Bartholoméüs A., Dambrine M., Richard J.P., "Delay-dependent stability domains of nonlinear time-varying delay systems", IEEE-SMC, CESA'96 IMACS Multiconference, Lille, France, 1996.
8. Gutman P.O., Hagander P., "A new design of constrained controllers for linear systems", IEEE Trans. on Aut. Cont., vol.30, No.1, p.22-33, 1985.
9. Radhy N.E., Borne P. and Richard J.P., "Regulation of nonlinear time-varying continuous systems with constrained state", In The Lyapunov functions method and applications, P. Borne and V. Matrosov (Eds). J.C. Baltzcr AG, Scientific Publishing Co.-IMACS, p.81-88, 1990.
10. Tokumaru H., Adachi N., Amemiya T., "Macroscopic stability of interconnected systems", Proc. of IFAC 6th World Congress, Boston, Paper 44.4., 1975.
11. Vassilaki M., Hennet J. C. and Bitsoris G., "Feedback control of linear discretetime systems under state and control constraints". Int. J. Control, Vol.47. No.6, p. 1727-1735, 1988.
12. Vassilaki M., Bitsoris G., "Optimum algebraic design of continuous-time regulators with polyhedral constraints", Preprints of AIPAC'89, Nancy, France, IFAC, Vol.1, p. 61-64, 1989.
13. Vassilaki M., "Application of the method of Lyapunov functions to the design of constrained regulators", In The Lyapunov functions method and applications, P. Borne and V. Matrosov (Eds). J.C. Baltzer AG, Scientific Publishing Co.-IMACS, p.97-102, 1990.
14. Walton K., Marschall J.E., "Direct method for TDS stability analysis", I.E.E. Proceedings, Vol. 134. part D, No.2, p. 101-107, 1987.