New reachability and observability tests for positive linear discrete-time systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

New tests (criterions) for checking the reachability and the observability of positive linear-discrete-time systems are proposed. The tests do not need checking of Tank conditions of the reachability and observability matrices of the systems. Simple sufficient conditions for the unreachability and unobservability of the systems are also established.

Słowa kluczowe

EN

discrete-time; linear; positive; system; test; reachability; observability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2007
• Tom: Vol. 55, nr 1
• Strony: 19--21
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering, Technical University of Białystok, 45D Wiejska St., 15-351 Białystok, Poland,

Bibliografia

• [1] L. Farina and S. Rinaldi, Positive Linear Systems, Theory and Applications, J. Willey, Interscience, New York, 2000.
• [2] M.I.J. Hautus, "Controllability and observability conditions of linear autonomous systems", Proc. Conf. Ned. Acad. Wetensh A 72, 443-448 (1969).
• [3] T. Kaczorek, Positive 1D and 2D Systems, Springer Verlag, London, 2002.
• [4] T. Kailath, Linear Systems, Prentice-Hall, Englewood Cliffs, New York, 1980.
• [5] RE. Kalman, P.I. Falb and M.A. Arbid, Topics in Mathematical Subsystems Theory, McGraw Hill, New York, 1960.
• [6] J. Klamka, Controllability of Dynamical Systems, Kluwer Academic Publishers, Dordrecht, 1991.