A Lyapunov approach to the stability of fractional differential equations

作者：Trigeassou J C^*; Maamri N; Sabatier J; Oustaloup A

来源：Signal Processing, 2011, 91(3): 437-445.

DOI：10.1016/j.sigpro.2010.04.024

• Fractional integrator
• Fractional differential equations
• State space models
• Lyapunov stability
• Nonlinear FDEs

Lyapunov stability of fractional differential equations is addressed in this paper. The key concept is the frequency distributed fractional integrator model, which is the basis for a global state space model of FDEs. Two approaches are presented: the direct one is intuitive but it leads to a large dimension parametric problem while the indirect one, which is based on the continuous frequency distribution, leads to a parsimonious solution. Two examples, with linear and nonlinear FDEs, exhibit the main features of this new methodology.

• 出版日期2011-3