PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2006 | 16 | 3 | 297-308
Tytuł artykułu

Analysis of some dual properties in discrete dynamic systems

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of duality in nonlinear and linear systems is considered. In addition to the known duality between controllability and observability, new dual notions and their properties are investigated. A way to refine these properties through an isomorphic transformation of the original systems is suggested.
Rocznik
Tom
16
Numer
3
Strony
297-308
Opis fizyczny
Daty
wydano
2006
otrzymano
2006-03-17
poprawiono
2006-05-18
Twórcy
  • Far Eastern State Technical University, 10 Pushkinskaya Str., Vladivostok, 690950, Russia
Bibliografia
  • Arbib M. and Manes E. (1974): Foundation of system theory: Decomposable systems. - Automatica, Vol. 10, No. 2, pp. 285-302.
  • Bellman R. (1960): Introduction to Matrix Analysis. - New York: McGraw-Hill Company, Inc.
  • Gill A. (1971): Linear Sequential Circuits. Analysis, Synthesis, and Application. - New York: McGraw-Hill.
  • Goldblad R. (1979): Topoi. The Categorical Analysis of Logic. - Amsterdam: North-Holland.
  • Hermann R. and Krener A. (1977): Nonlinear controllability and observability. - IEEE Trans. Automat. Contr., Vol. AC-22, No. 5, pp. 728-740.
  • Korn G.A. and Korn T.M. (1961): Mathematical Handbook. - New York: McGraw-Hill.
  • Lankaster P. (1969): Theory of Matrices. - London: Academic Press.
  • Kwakernaak H. and Sivan R. (1972): Linear Optimal Control Systems. - New York: Wiley.
  • Michtchenko A. and Zhirabok A. (2001): Application of invariance for error correction in nonlinear systems. - Proc. 12-th Int. Symp. s Danube Adria Association for Automation and Manufacturing, Vienna, Austria, pp. 297-298.
  • Peterson W. and Weldon E. (1972): Error-Correcting Codes. - London: Mita Press.
  • Shumsky A. and Zhirabok A. (2005): Nonlinear diagnostic filter design: Algebraic and geometric points of view. - Proc. 16-th IFAC World Congress,Prague, Czech Republic, (on CD-ROM).
  • Zhirabok A. and Shumsky A. (1993): A new mathematical technique for nonlinear systems research. - Proc. 12-th IFAC World Congress, Sydney,Australia, Vol. 3, pp. 485-488.
  • Zhirabok A. (1998): Observability and controllability properties of nonlinear dynamic systems. - Int. J. Comput. Syst. Sci., Vol. 37, No. 1, pp. 1-4.
  • Zhirabok A. (2000): On canonical decomposition of nonlinear dynamic systems, In: Nonlinear Control in the Year 2000, Vol. 2, (F. Lamnabhi-Lagarrigue, A. Isidori, W. Respondek, Eds.). - London: Springer, pp. 555-564.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-amcv16i3p297bwm
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.