Contraction analysis for fractional-order nonlinear systems

Marcos A. González-Olvera and Yu Tang

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 255-263

Abstract: In this work we present a novel platform for analysis of fractional-order nonlinear systems that, from a differential analysis as well as contraction analysis point of view, gives the sufficient conditions for the mutual convergence of nearby trajectories whose distance decrease asymptotically bounded by a Mittag-Leffler vanishing function. Particular cases, such as partial contraction and contraction to a linear manifold are studied. Applications to stability analysis, adaptive control, observer design and synchronization of chaotic fractional-order systems are derived in order to demonstrate the effectiveness of the proposed paradigm.

Keywords: Fractional-order Systems; Stability; Convergence Analysis; Contraction Analysis; Nonlinear Fractional-Order Systems (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:255-263

DOI: 10.1016/j.chaos.2018.10.030

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