Finite Spectrum Assignment Problem for Systems with Delays

IEEE Transactions on Automatic Control

Volumn 24, Issue 4, 1979, Pages 541-552

  Manitius, Andrzej Z ^a   Olbrot, Andrzej W ^b  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

^b WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

CONTROL SYSTEMS, LINEAR;

EID: 0018503972     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/TAC.1979.1102124     Document Type: Article

References (15)

1. J. Hale, Theory of Functional Differential Equations. New York: Springer-Verlag, 1977.
2. G. H. Hardy, “A theorem concerning Fourier transforms,” J. London Math. Soc., vol. 8, pp. 227–231, 1933.
3. E. Kamen, “An operator theory of linear functional differential equations,” J. Differential Equations, vol. 27, pp. 274–297, 1978.
4. A. Manitius, “Optimal control of hereditary systems,” in Control Theory and Topics in Functiotial Analysis, vol. III. Vienna, Austria: Int. Atomic Energy Agency, 1976, pp. 43–178.
5. —, “On controllability conditions for systems with distributed delays in state and control,” Archiwum Autom. i Telemech., vol. 17, pp. 363–377, 1972.
6. —, “Controllability, observability and stabilizability of retarded systems,” in Proc. 1976 IEEE Conf. on Decision and Control, pp. 752–758.
7. A. Manitius and R. Triggiani, “Function space controllability of linear retarded systems: A derivation from abstract operator conditions,” SIAM J. Contr. Optimiz., vol. 16, pp. 599–643, 1978.
8. A. S. Morse, “Ring models for delay-differential systems,” Automatical vol. 12, pp. 529–531, 1976.
9. A. W. Olbrot, “On controllability of linear systems with time delays in the control,” IEEE Trans. Automat. Contr., vol. AC-16, pp. 664–666, 1972.
10. —, “Stabilizability, detectability and spectrum assignment for linear systems with general time delays,” IEEE Trans. Automat. Contr., vol. AC-23, pp. 887–890, 1978.
11. A. Manitius and A. W. Olbrot, “Controllability conditions for linear systems with delayed states and control,” Archiwum Autom. i Telem., vol. 17, pp. 119–131, 1972.
12. Yu. S. Osipov, “Stabilization of controlled systems with delays,” Differentsial’nye Uravneniya, vol. 1, no. 5, pp. 605–618, 1965.
13. L. Pandolfi, “On feedback stabilization of functional differential equations,” Bolletino U.M.I., vol. 4, no. 11, supplemento al fascicolo 3, Giugno 1975, serie IV, vol. XI, pp. 626–635.
14. W. Rudin, Real and Complex Analysis. New York: McGraw-Hill, 1966.
15. E. Sontag, “Linear systems over commutative rings: A survey,” Ricerche di Automatica, vol. 7, pp. 1–34, 1976.