Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems With Caputo Derivative

@article{Chen2012StabilityAS,
  title={Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems With Caputo Derivative},
  author={Liping Chen and Yi Chai and Ranchao Wu and Jing Yang},
  journal={IEEE Transactions on Circuits and Systems II: Express Briefs},
  year={2012},
  volume={59},
  pages={602-606}
}
This brief discusses the stability and stabilization of a class of fractional-order nonlinear systems with Caputo derivative. On the basis of the stability theory of fractional-order linear differential equation, Mittag-Leffler function, Laplace transform, and the Gronwall inequality, two sufficient conditions are derived for the asymptotical stability of a class of fractional-order nonlinear systems with fractional-order α: 0 <; α ≤ 1 and 1 <; α <; 2, respectively. Then, two sufficient… CONTINUE READING
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