PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2001 | 11 | 4 | 957-964
Tytuł artykułu

Externally and internally positive time-varying linear systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The notions of externally and internally positive time-varying linear systems are introduced. Necessary and sufficient conditions for the external and internal positivities of time-varying linear systems are established. Moreover, sufficient conditions for the reachability of internally positive time-varying linear systems are presented.
Słowa kluczowe
EN
None  
Rocznik
Tom
11
Numer
4
Strony
957-964
Opis fizyczny
Daty
wydano
2001
otrzymano
2001-06-01
Twórcy
  • Institute of Control and Industrial Electronics, Faculty of Electrical Engineering, Warsaw University of Technology, ul. Koszykowa 75, 00-662 Warszawa, Poland
Bibliografia
  • d'Alessandro P. and de Santis E. (1994): Positiveness of dynamic systems with non-positive coefficients matrices. — IEEE Trans. Automat. Contr., Vol.AC-39, pp.131–134.
  • Berrman A., Neumann M. and Stern R. (1989): Nonnegative Matrices in Dynamic Systems. — New York: Wiley.
  • Berman A. and Plemmons R.J. (1994): Nonnegative Matrices in Mathematical Sciences. — Philadelphia: SIAM Press.
  • Fanti M.P., Maione B. and Turchsano B. (1990): Controllability of multi-input positive discrete-time systems. — Int. J. Contr., Vol.51, No.6, pp.1295–1308.
  • Farina L. and Rinaldi S. (2000): Positive Linear Systems, Theory and Applications. — New York: Wiley.
  • Fornasini E. and Valcher M.E. (1997): Recent developments in 2D positive systems theory. — J. App. Math. Comp. Sci., Vol.7, No.4, pp.101–123.
  • Gantmacher F.R. (1959): The Theory of Matrices. — New York: Chelsea.
  • Kaczorek T. (1998a): Weakly positive continuous-time linear systems. — Bull. Pol. Acad. Techn. Sci., Vol.46, No.2, pp.233–245.
  • Kaczorek T. (1998b): Positive descriptor discrete-time linear systems. — Prob. Nonlin. Anal. Eng. Syst., Vol.1, No.7, pp.38–54.
  • Kaczorek T. (2001): Positive 1D and 2D Systems. — London: Springer.
  • Klamka J. (1998): Constrained controllability of positive 2D systems. — Bull. Pol. Acad. Techn. Sci., Vol.46, No.1, pp.93–102.
  • Ohta Y., Madea H. and Kodama S. (1984): Reachability, observability and realizability of continuous-time positive systems. — SIAM J. Contr. Optim., Vol.22, No.2, pp.171–180.
  • Ratajczak Z. (1967): On solutions of the system of homogenous differential linear equations. — Scientific Fasicicles of Poznań University of Technology, Mathematics, No.3 pp.59– 64 (in Polish).
  • Rumchev V.G. and James D.J.G. (1990): The role of nonnegative matrices in discrete-time mathematical modelling. — Int. J. Math. Educ. Sci. Technol., Vol.21, No.2, pp.169–182.
  • Rumchev V.G. and James D.J.G. (1995): Spectral characterisation and pole assignment for positive linear discrete-time systems. — Int. J. Syst. Sci., Vol.26, No.2, pp.295–312.
  • Valcher M.E. (1996): Controllability and reachability criteria for discrete-time positive systems. — Int. J. Contr., Vol.65, No.3, pp.511–536.
  • Valcher M.E. (1997): On the internal stability and asymptotic behaviour of 2D positive systems, Part I. — IEEE Trans. Circ. Syst., Vol.44, No.7, pp.602–613.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv11i4p957bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.