Finite zeros of positive linear discrete time systems

• Autorzy: Tokarzewski J.
• Języki publikacji: EN

Abstrakty

EN

The notion of finite zeros of discrete-time positive linear systems is introduced. It is shown that such zeros are real nonnegative numbers. It is also shown that a square positive strictly proper or proper system of uniform rank with the observability matrix of full column rank has no finite zeros. The problem of zeroing the system output for positive systems is defined. It is shown that a square positive strictly proper or proper system of uniform rank with the observability matrix of full column rank has no nontrivial output-zeroing inputs. The obtained results remain valid for non-square positive systems with the first nonzero Markov parameter of full column rank.

Słowa kluczowe

EN

finite zeros; output-zeroing problem; positive discrete-time linear systems

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2011
• Tom: Vol. 59, nr 3
• Strony: 287--292
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Tokarzewski J.

• Faculty of Electrical Engineering, Warsaw University of Technology, 1 Politechniki Sq., 00-661 Warsaw, Poland,

Bibliografia

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• [7] A.G.J. MacFarlane and N. Karcanias, “Poles and zeros of linear multivariable systems: a survey of the algebraic, geometric and complex variable theory”, Int. J. Control 24 (1), 33-74 (1976).
• [8] J. Tokarzewski, Finite Zeros in Discrete Time Control Systems, Series: Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, 2006.
• [9] A. Isidori, Nonlinear Control Systems, Springer Verlag, London, 1995.
• [10] J. Tokarzewski, “Invariant zeros of linear singular systems via the generalized eigen-value problem”, Future Intelligent Information Systems, Series: Lecture Notes in Electrical Engineering 86, 263–270 (2011).
• [11] L. Benvenuti and L. Farina, “A tutorial on the positive realization problem”, IEEE Trans. on Automatic Control 49 (5), 651–664 (2004).
• [12] L. Benvenuti and L. Farina, “The importance of being positive: admissible dynamics for positive systems”, Positive Systems, Series: Lecture Notes in Control and Information Sciences 389, 55–62 (2009).