First-order representations of delay-differential systems in a behavioural setting

European Journal of Control

Volumn 3, Issue 2, 1997, Pages 137-149

  Glusing Luerssen H ^a  

^a UNIVERSITY OF OLDENBURG   (Germany)

Author keywords

Behaviours; Realisations; Time delay systems

Indexed keywords

DIFFERENTIATION (CALCULUS); IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

BEHAVIORAL SETTING; COMMENSURATE POINT DELAYS; DELAY DIFFERENTIAL SYSTEMS;

DELAY CONTROL SYSTEMS;

EID: 0030689515     PISSN: 09473580     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0947-3580(97)70072-4     Document Type: Article

References (20)

1. Brethé D, Loiseau JJ. An effective algorithm for finite spectrum assignment of single-input systems with delays. Preprint 1995
2. Eising R, Hautus MLJ. Realization algorithms for systems over a principal ideal domain. Math. Systems Theory 1981; 14: 353-366
3. Geerts AHW, Schumacher JM. Impulsive-smooth behavior in multimode systems, Part H: Minimality and equivalence. Automatica, 1996; 32: 819-832
4. Glüsing-Lüerßen H. A behavioral approach to delay differential equations. Preprint 1995. To appear in SIAM J Contr & Opt 1997; 35 (2).
5. Glüsing-Lüerßen H. A convolution algebra of delay-differential operators and a related problem of finite spectrum assignability. Preprint 1996
6. Guiver JP, Bose NK. Polynomial matrix primitive factorization over arbitrary coefficient field and related results. IEEE Trans Circuits and Systems, 1982; CAS-29: 649-657
7. Habets LCGJM. Algebraic and computational aspects of time-delay systems. PhD thesis, Eindhoven University of Technology, 1994
8. Hodge WVD, Pedoe D. Methods of algebraic geometry. Cambridge University Press, Cambridge, 1968
9. Kamen EW, Khargonekar PP, Tannenbaum A. Proper stable Bezout factorizations and feedback control of linear time-delay systems. Int J Contr 1986; 43: 837-857
10. Khargonekar PP. On matrix fraction representations for linear systems over commutative rings. SIAM J Contr & Opt 1982; 20: 172-196
11. Manitius AZ, Olbrot AW. Finite spectrum assignment problem for systems with delays. IEEE Trans Automat Contr 1979; AC-24: 541-553
12. Morse AS. Ring models for delay-differential systems. Automatica 1976; 12: 529-531
13. Olbrot AW, Pandolfi L. Null controllability of a class of functional differential systems. Int J Contr 1988; 47: 193-208
14. Rosenthal J, Schumacher JM. Realization by inspection. CWI Report BS-R9534, 1995. To appear in IEEE Trans Automat Contr 1997
15. Rouchaleau Y, Sontag ED. On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains. J Comp Syst Sci 1979; 18: 65-75
16. Schumacher, JM. Transformations of linear systems under external equivalence. Lin Algebra and its Appl 1988; 102: 1-33
17. Sontag ED. Linear systems over commutative rings: A survey. Ricerche di Automatica 1976; 7: 1-34
18. Sontag ED. The lattice of minimal realizations of response maps over rings. Math Systems Theory 1977; 11: 169-175
19. Willems JC. From time series to linear systems: Part 1. Finite dimensional linear time invariant systems. Automatica 1986; 22: 561-580
20. Willems JC. Paradigms and puzzles in the theory of dynamical systems. IEEE Trans Automat Contr 1991; AC-36: 259-294