Necessary and Sufficient Stability Conditions of Fractional Positive Continuous-Time Linear Systems

• Autorzy: Kaczorek T.
• Języki publikacji: EN

Abstrakty

EN

Necessary and sufficient conditions for the asymptotic stability of fractional positive continuous-time linear systems are established. It is shown that the matrix A of the stable fractional positive system has not eigenvalues in the part of stability region located in the right half of the complex plane.

Słowa kluczowe

EN

positive linear systems; stability

PL

dodatni układ liniowy; stabilność

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 52--54
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Kaczorek T.

• Politechnika Białostocka, Białystok,

Bibliografia

• 1. Busłowicz M. (2010), Robust stability of positive discretetime linear systems of fractional order, Bull. Pol. Acad. Sci. Techn., vol. 58, no. 4, 567-572.
• 2. Busłowicz M. and Kaczorek T. (2009), Simple conditions for practical stability of positive fractional discrete-time lineart stystems, Int. J. Appl. Math. Comput. Sci., Vol. 19, no. 2, 263-169.
• 3. Farina L. and Rinaldi S. (2000), Positive Linear Systems; Theory and Applications, J. Wiley, New York.
• 4. Kaczorek T. (2002), Positive 1D and 2D Systems, Springer Verlag, London.
• 5. Kaczorek T. (2010), Stability and stabilization of positive fractional linear systems by state-feedbacks, Bull. Pol. Acad. Sci. Techn., vol. 58, no. 4, 517-554.
• 6. Kaczorek T. (2011a), New stability tests of positive standard and fractional linear systems, Submitted to Circuits and Systems.
• 7. Kaczorek T. (2011b), Selected Problems of Fractional System Theory, Springer Verlag, Berlin.
• 8. Mitkowski W. (2008), Dynamical properties of Metzler systems, Bull. Pol. Acad. Sci. Techn., Vol. 56, no. 4, 309-312.
• 9. Narendra K.S. and Shorten R. (2010), Hurwitz Stability of Metzler Matrices, IEEE Trans. Autom. Contr., Vol. 55, no. 6 June, 1484-1487.