Realization problem for singular positive continuous-time systems with delays

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

The positive realization problem for a class of singular continuous-time linear SISO systems with delays in state and in output is addressed. The notions of canonical forms of matrices and of dual systems are extended for singular linear systems with delays. Necessary and sufficient conditions for positivity of SISO singular continuous-time systems with delays and sufficient conditions for the existence of a positive singular realization are established. A procedure for computation of a positive singular realization of a given transfer function is proposed and illustrated by a numerical example.

Słowa kluczowe

EN

realization; positive; singular; continuous-time; system; existence; procedure

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2007
• Tom: Vol. 36, no 1
• Strony: 47--57
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Bialystok Technical University, ul. Wiejska 45A, 15-351 Bialystok, Poland

Bibliografia

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• BUSŁOWICZ, M. and KACZOREK. T. (2004) Reachability and minimum energy control of positive linear discrete-time systems with one delay. 12th Mediterranean Conference on Control and Automation, June 6-9, 2004, Kusadasi. Izmir, Turkey.
• FARINA, L. and RINALDI, S. (2000) Positive Linear Systems; Theory and Applications. J. Wiley, New York.
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• KACZOREK, T. (2002) Positive ID and 2D Systems. Springer-Verlag, London.
• KACZOREK, T. (2003) Some recent developments in positive systems. Proc. 7th Conference of Dynamical Systems Theory and Applications, Łódź 2003. 25-35.
• KACZOREK, T. (2004a) Realization problem for positive multivariable linear systems with time-delay. Proc. Intern. Workshop Computational Problems of Electrical, Engineering. Zakopane 2004, 186-192.
• KACZOREK, T. (2004b) Realization problem for positive discrete-time systems with delay. System Science 30 (4), 17-30.
• KACZOREK, T. (2005a) Realization problem for a class of positive continuous-time systems with delays. Int. J. Appl. Math. Comput. Sci. 15 (4), 447-453.
• KACZOREK, T. (2005b) Realization problem for positive linear systems with time delay. Mathematical Problems in Engineering 2005 (4), 455-463.
• KACZOREK, T. (2006a) Minimal positive realizations for discrete-time systems with delays. The International Journal for Computation and Mathematics in Electrical and Electronic Engineering COMPEL 25 (4), 812-826.
• KACZOREK, T. (2006b) Computation of realizations of discrete-time cone-systems. Bull. Pol. Acad. Sci. Techn. 53 (3), 347-350.
• KACZOREK, T. and BUSŁOWICZ, M. (2004) Minimal realization for positive multivariable linear systems with delay. Int. J. Appl. Math. Comput. Sci. 14 (2), 181-187.
• XIE, G. and WANG, L. (2003) Reachability and controllability of positive linear discrete-time systems with time-delays. In: L. Benvenuti, A. De Santis and L. Farina, eds., Positive Systems, LNCIS 294, Springer-Verlag, Berlin, 377-384.