4.7 Article

Boundedness and convergence on fractional order systems

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 296, Issue -, Pages 815-826

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2015.11.008

Keywords

Boundedness; Asymptotic convergence; Fractional order systems

Funding

  1. CONICYT-Chile [FB009]
  2. FONDECYT [1150488]

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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. (C) 2015 Elsevier B.V. All rights reserved.

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