Non-Lyapunov Stability and Stabilization of Fractional Order Systems Including Time-Varying Delays

نویسنده

  • MIHAILO LAZAREVIĆ
چکیده

This paper gives sufficient conditions for finite time stability and stabilization for perturbed nonlinear (non)homogeneous fractional order systems with time-varying delay. New stability criteria for this class of fractional order systems were derived using a recently obtained generalized Gronwall inequality as well as “classical” Bellman-Gronwall inequality. Last, a numerical example is given to illustrate the validity of the proposed procedure. Key-Words: Stability criteria, Non-Lyapunov,Stabilization,Analysis, Fractional calculus, Time Varying delay

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تاریخ انتشار 2011