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2003 | 13 | 1 | 61-72
Tytuł artykułu

Canonical forms of singular 1D and 2D linear systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper consists of two parts. In the first part, new canonical forms are defined for singular 1D linear systems and a procedure to determine nonsingular matrices transforming matrices of singular systems to their canonical forms is derived. In the second part new canonical forms of matrices of the singular 2D Roesser model are defined and a procedure for determining realisations in canonical forms for a given 2D transfer function is presented. Necessary and sufficient conditions for the existence of a pair of nonsingular block diagonal matrices transforming the matrices of the singular 2D Roesser model to their canonical forms are established. A procedure for computing the pair of nonsingular matrices is presented.
Rocznik
Tom
13
Numer
1
Strony
61-72
Opis fizyczny
Daty
wydano
2003
otrzymano
2002-09-01
poprawiono
2003-01-01
Twórcy
  • Warsaw University of Technology, Faculty of Electrical Engineering, Institute of Control and Industrial Electronics, 00-662 Warszawa, Koszykowa 75, Poland
Bibliografia
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  • Gałkowski K. (1997): Elementary operation approach to state-space realizations of 2-D systems. - IEEE Trans. Circ. Syst. Fund. Theory Appl., Vol. 44, No. 2, pp. 120-129.
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  • Kaczorek T. (1987): Realization problem for general model of two-dimensional linear systems. - Bull. Pol. Acad. Sci. Techn. Sci., Vol. 35, No. 11-12, pp. 633-637.
  • Kaczorek T. (1988): Singular general model of 2-D systems and its solution. - IEEE Trans. Automat. Contr., Vol. AC-33, No. 11, pp. 1060-1061.
  • Kaczorek T. (1992): Linear Control Systems, Vols. 1 and 2. - New York: Wiley.
  • Kaczorek T. (1995): Singular 2-D continuous-discrete linear systems. Dynamics of continuous, discrete and impulse systems. - Adv. Syst. Sci. Appl., Vol. 1, No. 1, pp. 103-108.
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  • Kaczorek T. (1997b): Positive realization in canonical form of the 2D Roesser type model. - Proc. Control and Decision Conf., San Diego, pp. 335-336.
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Bibliografia
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