Synchronization of Uncertain Fractional-Order Hyperchaotic Systems via Unidirectional Linear Error Feedback Coupling Scheme | Zendy

Suwat Kuntanapreeda | Zendy

Open Access

Synchronization of Uncertain Fractional-Order Hyperchaotic Systems via Unidirectional Linear Error Feedback Coupling Scheme

Author(s) -

Suwat Kuntanapreeda

Publication year - 2013

Publication title -

journal of chaos

Language(s) - English

Resource type - Journals

eISSN - 2356-7228

pISSN - 2314-6605

DOI - 10.1155/2013/512403

Subject(s) - synchronization (alternating current) , control theory (sociology) , simple (philosophy) , interval (graph theory) , convergence (economics) , coupling (piping) , mathematics , linear matrix inequality , stability (learning theory) , order (exchange) , computer science , mathematical optimization , topology (electrical circuits) , engineering , control (management) , mechanical engineering , philosophy , epistemology , combinatorics , artificial intelligence , machine learning , economics , economic growth , finance

A simple method for synchronization of uncertain fractional-order hyperchaotic systems is proposed in this paper. The method makes use of a unidirectional linear coupling approach due to its simple configuration and ease of implementation. To determine the coupling parameters, the synchronization error dynamics is first formulated as a fractional-order linear interval system. Then, the parameters are obtained by solving a linear matrix inequality (LMI) stability condition for stabilization of fractional-order linear interval systems. Thanks to the existence of an LMI solution, the convergence of the synchronization errors is guaranteed. The effectiveness of the proposed method is numerically illustrated by the uncertain fractional-order hyperchaotic Lorenz system

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