Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
New classes of singular fractional continuous-time and discrete-time linear systems are introduced. Electrical circuits are example of singular fractional continuous-time systems. Using the Caputo definition of the fractional derivative, the Weierstrass regular pencil decomposition and Laplace transformation the solution to the state equation of singular fractional linear systems is derived. It is shown that every electrical circuit is a singular fractional systems if it contains at least one mesh consisting of branches with only ideal supercondensators and voltage sources or at least one node with branches with supercoils. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional discrete-time linear systems is derived. The considerations are illustrated by numerical examples.
Czasopismo
Rocznik
Tom
Strony
38--41
Opis fizyczny
Bibliogr. 10 poz., wykr.
Twórcy
autor
autor
- Faculty of Mechanical Engineering, Bialystok University of Technology, ul. Wiejska 45c, 15-351 Białystok, Poland, z.oksiuta@pb.edu.pl
Bibliografia
- 1. ASTM F899-12b Standard Specification for Wrought Stainless Steels for Surgical Instruments.
- 2. Carmezim M. J. (2005), Capacitance behaviour of passive films on ferritic and austenitic stainless steel, Corrosion Science, No. 47, 581–591.
- 3. Cho H. S. et al. (2004), Corrosion properties of oxide dispersion strengthened steels in super-critical water environment, Journal of Nuclear Materials, No. 329−333, 387−391.
- 4. Hoelzer D. T et al. (2000), A microstructural study of the oxide scaleformation on ODS Fe13Cr steel, Journal of Nuclear Materials, No. 283−287, 1306−1310.
- 5. Kim J. S. (2002), Effect of alloying elements on the contact resistance and the passivation behaviour of stainless steels, Corrosion Science, No. 44, 635–655.
- 6. Oksiuta Z. (2011), Microstructural changes of ODS ferritic steel powder during mechanical alloying, Acta Mechanica et Automatica, Vol. 5, No. 2, 74−78.
- 7. Oksiuta Z. et al. (2011), Influence of Y2O3 and Fe2Y additions on the formation of nano-scale oxide particles and the mechanical properties of an ODS RAF steel, Fusion Engineering and Design, No. 86, 2417−2420.
- 8. Ollivier-Leduc A. (2011), Study of selective oxidation by means of glow discharge optical emission spectroscopy, Corrosion Science, 53 (2011) 1375÷1382.
- 9. Tyurin A. G. (2003), Thermodynamic Assessment of the Effect of Chromium and Molybdenum on the Passivability of Nickel-Base Alloys, Protection of Metals, Vol. 39, No. 6, 568−574.
- 10. Ukai S. et al. (1998), R&D of oxide dispersion strengthened ferritic martensitic steels for FBR, Journal of Nuclear Materials,No. 258–263, 1745−1749.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPBF-0003-0012