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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.
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Schedule a callMore From: Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena
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