Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The notion of finite zeros of continuous-time positive linear systems is introduced. It is shown that such zeros are real numbers. It is also shown that a square positive strictly proper or proper system of uniform rank with 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 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.
Rocznik
Tom
Strony
293--298
Opis fizyczny
Bibliogr. 14 poz., rys., tab.
Twórcy
autor
- Faculty of Electrical Engineering, Warsaw University of Technology, 1 Politechniki Sq., 00-661 Warsaw, Poland, jtokarzewski@zkue.ime.pw.edu.pl
Bibliografia
- [1] L. Farina and S. Rinaldi, Positive Linear Systems: Theory and Applications, Wiley, New York, 2000.
- [2] T. Kaczorek, Positive 1D and 2D Systems, Springer Verlag, London, 2002.
- [3] R. Bru and S. Romero-Vivo, Positive Systems, Series: Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, 2009.
- [4] T. Kaczorek, “Stability of positive continuous-time linear systems with delays”, Bull. Pol. Ac.: Tech. 57 (4), 395–398 (2009).
- [5] T. Kaczorek, “Stability and stabilization of positive fractional linear systems by state feedback”, Bull. Pol. Ac.: Tech. 58 (4), 537–554 (2010).
- [6] T. Kaczorek, “Decoupling zeros of positive discrete-time linear systems”, Circuits and Systems 1, 41–48, (2010), (http://www.SciRP.org/journal/cs).
- [7] J. Tokarzewski, “Finite zeros of positive linear discrete time systems”, Bull. Pol. Ac.: Tech. 59 (3), 287–292 (2011).
- [8] 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).
- [9] J. Tokarzewski, Zeros in Linear Systems: a Geometric Approach, Publishing House of the Warsaw University of Technology, Warsaw, 2002.
- [10] J. Tokarzewski, Finite Zeros in Discrete Time Control Systems, Series: Lecture Notes in Control and Information Sciences, Springer Verlag, Berlin, 2006.
- [11] A. Isidori, Nonlinear Control Systems, Springer Verlag, London, 1995.
- [12] 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).
- [13] L. Benvenuti and L. Farina, “A tutorial on the positive realization problem”, IEEE Trans. on Automatic Control 49 (5), 651–664 (2004).
- [14] 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).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPG8-0070-0016