Title :
Comparison Inequalities for Nonlinear Fractional-Order Systems
Author :
Wang, Zhiliang ; Zhang, Huaguang ; Sun, Ning
Author_Institution :
Coll. of Inf. Sci. & Eng., Northeastern Univ., Shenyang, China
Abstract :
A generalized Caputo fractional derivative definition is first proposed. Based on that, two comparison inequalities for scalar and vector nonlinear fractional-order systems are constructed, respectively. An example is provided to show how the tools be used to analyze the stability of nonlinear fractional-order systems.
Keywords :
nonlinear dynamical systems; generalized Caputo fractional derivative definition; scalar nonlinear fractional-order system; vector nonlinear fractional-order system; Asymptotic stability; Circuit stability; Differential equations; Equations; Fractional calculus; Laplace equations; Stability analysis; comparison inequality; fractional-order system; generalized Caputo derivative; nonlinear; stability;
Conference_Titel :
Chaos-Fractals Theories and Applications (IWCFTA), 2010 International Workshop on
Conference_Location :
Kunming, Yunnan
Print_ISBN :
978-1-4244-8815-5
DOI :
10.1109/IWCFTA.2010.15
