Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The pointwise completeness and pointwise degeneracy of standard and positive linear discrete-time and continuous- time systems with state-feedbacks are addressed. It is shown that: 1) the pointwise completeness and pointwise degeneracy of continuous-time standard systems are invariant under the state and output feedbacks, 2) for standard and positive discrete-time and positive continuous- time systems necessary and sufficient conditions are established for the existence of gain matrices of statefeedbacks such that the closed-loop systems are pointwise complete. Considerations are illustrated by numerical examples.
Rocznik
Tom
Strony
3--7
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
- Białystok Technical University, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Białystok. Fax +4822 874 0209, kaczorek@isep.pw.edu.pl
Bibliografia
- [1] Busłowicz M., “Pointwise completeness and pointwise degeneracy of linear discrete-time systems of fractional order.”,Zesz. Nauk. Pol. Śląskiej, Automatyka, no. 151, 2008, pp. 19-24 (in Polish).
- [2] Busłowicz M., Kociszewski R., Trzasko W., “Pointwise completeness and pointwise degeneracy of positive discrete-time systems with delays”,Zesz. Nauk. Pol. Śląskiej, Automatyka, no. 145, 2006, pp. 55-56 (in Polish).
- [3] Choundhury A. K., “Necessary and sufficient conditions of pointwise completeness of linear time-invariant delay-differential systems”,Int. J. Control, vol. 16, no. 6, 1972, pp. 1083-1100.
- [4] Farina L., Rinaldi S.,Positive Linear Systems; Theory and Applications, J. Wiley: New York, 2000.
- [5] Kaczorek T., Positive 1D and 2D Systems, Springer-Verlag, London, 2002.
- [6] Kaczorek T., “Reachability and controllability to zero of positive fractional discrete-time systems, Machine Intelligence and Robotic Control, vol. 6, no. 4, 2008, pp. 139-143.
- [7] Kaczorek T., “Fractional positive continuous-time linear systems and their reachability”, Int. J. Appl. Math. Comput. Sci., vol. 18, no. 2, 2008, pp 223-228.
- [8] Kaczorek T., Busłowicz M., “Pointwise completeness and pointwise degeneracy of linear continuous-time fractional order systems”,Journal of Automation, Mobile Robotics & Intelligent Systems, vol. 3, no. 1, 2009, pp. 8-11.
- [9] Olbrot A., “On degeneracy and related problems for linear constant time-lag systems”,Ricerche di Automatica, vol. 3, no. 3, 1972, pp. 203-220.
- [10] Ostalczyk P., Epitome of the Fractional Calculus, Wydawnictwo Politechniki Łódzkiej: Łódź 2008 (in Polish).
- [11] Podlubny I., Fractional Differential Equations, Academic Press: San Diego 1999.
- [12] Popov V.M., “Pointwise degeneracy of linear timeinvariant delay-differential equations“,Journal of Diff. Equation, vol. 11, 1972, pp. 541-561.
- [13] Sabatier J., Agrawal O.P., Machado J.A.T. (Eds), Advances in Fractional Calculus, Theoretical Developments and Applications in Physics and Engineering, Springer London 2007.
- [14] Trzasko W., Busłowicz M., Kaczorek T., “Pointwise completeness of discrete-time cone-systems with delays”. In: Proc. EUROCON 2007, Warsaw, pp. 606-611.
- [15] Weiss L., Controllability for various linear and nonlinear systems models. Lecture Notes in Mathematics, , Seminar on Differential Equations and Dynamic System II, Springer: Berlin 1970, pp. 250-262.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ7-0012-0001