Controllability Results for Nonlinear Fractional‐Order Dynamical Systems

Controllability Results for Nonlinear Fractional‐Order Dynamical Systems

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Article ID: iaor20131990
Volume: 156
Issue: 1
Start Page Number: 33
End Page Number: 44
Publication Date: Jan 2013
Journal: Journal of Optimization Theory and Applications
Authors: , , ,
Keywords: control
Abstract:

This paper establishes a set of sufficient conditions for the controllability of nonlinear fractional dynamical system of order 1<α <2 in finite dimensional spaces. The main tools are the Mittag–Leffler matrix function and the Schaefer’s fixed‐point theorem. An example is provided to illustrate the theory.

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