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2002 | 12 | 2 | 197-202
Tytuł artykułu

Externally and internally positive singular discrete-time linear systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Notions of externally and internally positive singular discrete-time linear systems are introduced. It is shown that a singular discrete-time linear system is externally positive if and only if its impulse response matrix is non-negative. Sufficient conditions are established under which a single-output singular discrete-time system with matrices in canonical forms is internally positive. It is shown that if a singular system is weakly positive (all matrices E, A, B, C are non-negative), then it is not internally positive.
Słowa kluczowe
Rocznik
Tom
12
Numer
2
Strony
197-202
Opis fizyczny
Daty
wydano
2002
otrzymano
2001-10-02
Twórcy
  • Institute of Control and Industrial Electronics, Warsaw Technical University, Faculty of Electrical Engineering, ul. Koszykowa 75, 00-662 Warsaw, Poland
Bibliografia
  • Cobb D. (1984): Controllability, observability and duality in singular systems. - IEEE Trans. Automat. Contr., Vol. AC-29, No. 12, pp. 1076-1082.
  • Dai L. (1989): Singular Control Systems. - Berlin: Springer.
  • Fanti M.P., Maione B. and Turchiano B. (1990): Controllability of multi-input positive discrete-time systems. - Int. J. Contr., Vol. 51, No. 6, pp. 1295-1308.
  • Kaczorek T. (1993): Linear Control Systems, Vol. 2. - New York: Wiley.
  • Kaczorek T. (1997): Positive singular discrete linear systems.-Bull. Pol. Acad. Techn. Sci., Vol. 45, No. 4, pp. 619-631.
  • Kaczorek T. (1998a): Positive descriptor discrete-time linear systems. - Probl. Nonlin. Anal. Eng. Syst., Vol. 7, No. 1, pp. 38-54.
  • Kaczorek T. (1998b): Weakly positive continuous-time linear systems. - Bull. Pol. Acad. Techn. Sci., Vol. 46, No. 2, pp. 233-245.
  • Klamka J. (1991): Controllability of Dynamical Systems. - Dordecht: Kluwer.
  • Lewis F.L. (1984): Descriptor systems: Decomposition into forward and backward subsystems. - IEEE Trans. Automat. Contr., Vol. AC-29, pp. 167-170.
  • Lewis F.L. (1986): A survey of linear singular systems. - Circuits Syst. Signal Process., Vol. 5, No. 1, pp. 1-36.
  • Luenberger G. (1977): Dynamic equations in descriptor form. - IEEE Trans. Automat. Contr., Vol. AC-22, No. 3, pp. 312-321.
  • Luenberger D.G. (1978): Time-invariant descriptor systems. - Automatica, Vol. 14, No.2, pp. 473-480.
  • Mertzios B.G. and Lewis F.L. (1989): Fundamental matrix of discrete singular systems.-Circuits Syst. Signal Process., Vol. 8, No. 3, pp. 341-355.
  • Ohta Y., Madea H. and Kodama S. (1984): Reachability, observability and realizability of continuous-time positive systems. - SIAM J. Contr. Optim., Vol. 22, No. 2, pp. 171-180.
Typ dokumentu
Bibliografia
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