Singular fractional discrete-time linear systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

A new class of singular fractional linear discretetime systems is introduced. Using the Weierstrass regular pencil decomposition the solution to the state equation of singular fractional linear systems is derived. The considerations are illustrated by numerical examples.

Słowa kluczowe

EN

decomposition; singular; fractional; linear system; solution

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2011
• Tom: Vol. 40, no 3
• Strony: 753--761
• Opis fizyczny: Bibliogr. 16 poz.

Twórcy

autor

Kaczorek T.

• Faculty of Electrical Engineering Białystok University of Technology Wiejska 45D, 15-351 Białystok, Poland,

Bibliografia

• Dodig, M. and Stosic, M. (2009) Singular systems state feedbacks problems. Linear Algebra and its Applications, 431 (8), 1267-1292.
• Dai, L. (1989) Singular Control Systems. Lectures Notes in Control and Information Sciences. Springer-Verlag, Berlin.
• Fahmy, M.H. and O’Reill, J. (1989) Matrix pencil of closed-loop descriptor systems: infinite-eigenvalues assignment. Int. J. Control, 49 (4), 1421-1431
• Gantmacher, F.R. (1960) The Theory of Matrices. Chelsea Publishing Co., New York.
• Kaczorek, T. (1992) Linear Control Systems. Research Studies Press 1, J. Wiley, New York.
• Kaczorek, T. (2004) Infinite eigenvalue assignment by output-feedbacks for singular systems. Int. J. Appl. Math. Comput. Sci., 14 (1), 19-23.
• Kaczorek, T. (2007a) Polynomial and Rational Matrices. Applications in Dynamical Systems Theory. Springer-Verlag, London.
• Kaczorek, T. (2007b) Realization problem for singular positive continuoustime systems with delays. Control and Cybernetics, 36 (1), 47-57.
• Kaczorek, T. (2008) Fractional positive continuous-time linear systems and their reachability. Int. J. Appl. Math. Comput. Sci., 18 (2), 223-228.
• Kaczorek, T. (2010a) Analysis of fractional linear electrical circuits in transie nt states. Electrical Review, 86 (6), 491-495 (in Polish).
• Kaczorek, T. (2010b) Positive linear systems with different fractional orders. Bull. Pol. Ac. Sci. Techn., 58 (3), 453-458.
• Kaczorek,T. (2011a) Selected Problems of Fractional Systems Theory. Springer-Verlag, Berlin.
• Kaczorek, T. (2011b) Singular fractional linear systems and electrical circuits. Int. J. Appl. Math. and Comp. Sci., 21 (2), 379-384.
• Kucera, V. and Zagalak, P. (1988) Fundamental theorem of state feedback for singular systems. Automatica, 24 (5), 653-658.
• Podlubny, I. (1999) Fractional Differential Equations. Academic Press, New York.
• Van Dooren, P. (1979) The computation of Kronecker’s canonical form of a singular pencil. Linear Algebra and Its Applications, 27, 103-140.