Boundedness and convergence on fractional order systems

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摘要

We establish conditions to guarantee boundedness and convergence of signals described by non integer order equations using Caputo derivatives. The case of linear time-varying unforced equations is first studied, and later, results for linear time-varying forced equations and time-varying unforced non linear equations are presented and discussed.

论文关键词:Boundedness,Asymptotic convergence,Fractional order systems

论文评审过程:Received 8 July 2015, Revised 20 October 2015, Available online 11 November 2015, Version of Record 2 December 2015.

论文官网地址:https://doi.org/10.1016/j.cam.2015.11.008