Title :
Stability analysis of the fractional differential systems with Miller-Ross sequential derivative
Author :
Qian, Deliang ; Li, Changpin
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai, China
Abstract :
Stability analysis of the linear fractional differential systems with Caputo derivative has been well-studied, the differential system with Miller-Ross sequential derivative, however, has not been investigated yet. In this paper, by using the Laplace transform and the asymptotical expansion of the Mittag-Leffler function we derive the stability criteria of the fractional differential systems with Miller-Ross sequential fractional derivative, where two cases are included: the homogenous case and the non-homogenous one.
Keywords :
Laplace transforms; calculus; numerical stability; Caputo derivative; Laplace transform; Miller-Ross sequential derivative; Mittag-Leffler function; asymptotical expansion; linear fractional differential systems; stability analysis; Asymptotic stability; Eigenvalues and eigenfunctions; Equations; Fractional calculus; Laplace equations; Stability analysis; Thermal stability; Miller-Ross sequential fractional derivative; Mittag-Leffler function; fractional differential system; stability;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5555024
