Abstract:
This paper focuses on synchronization of fractionalorder complex dynamical networks with decentralized adaptive coupling. Based on local information among neighboring nod...Show MoreMetadata
Abstract:
This paper focuses on synchronization of fractionalorder complex dynamical networks with decentralized adaptive coupling. Based on local information among neighboring nodes, two fractional-order decentralized adaptive strategies are designed to tune all or only a small fraction of the coupling gains respectively. By constructing quadratic Lyapunov functions and utilizing fractional inequality techniques, Mittag-Leffler function, and Laplace transform, two sufficient conditions are derived for reaching network synchronization by using the proposed adaptive laws. Finally, two numerical examples are given to verify the theoretical results.
Published in: IEEE/CAA Journal of Automatica Sinica ( Volume: 4, Issue: 3, 2017)
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- IEEE Keywords
- Index Terms
- Complex Network ,
- Synchronization Of Complex Networks ,
- Fractional-order Complex ,
- Fractional-order Complex Networks ,
- Sufficient Conditions ,
- Numerical Examples ,
- Quadratic Function ,
- Derivative Of Function ,
- Laplace Transform ,
- Lyapunov Function ,
- Fractional Differential Equations ,
- Fractional Derivative ,
- Adaptive Law ,
- Synchronization Of Networks ,
- Fractional-order Systems ,
- Fractionation Techniques ,
- Mittag-Leffler Function ,
- Quadratic Lyapunov Function ,
- Derivative Of The Lyapunov Function ,
- Adaptive Control Technique ,
- Proof Of Theorem ,
- Trajectories Of System ,
- Nonnegative Constants ,
- Coupling Matrix ,
- Fractional Integral ,
- Coupling Constant
Keywords assist with retrieval of results and provide a means to discovering other relevant content. Learn more.
- IEEE Keywords
- Index Terms
- Complex Network ,
- Synchronization Of Complex Networks ,
- Fractional-order Complex ,
- Fractional-order Complex Networks ,
- Sufficient Conditions ,
- Numerical Examples ,
- Quadratic Function ,
- Derivative Of Function ,
- Laplace Transform ,
- Lyapunov Function ,
- Fractional Differential Equations ,
- Fractional Derivative ,
- Adaptive Law ,
- Synchronization Of Networks ,
- Fractional-order Systems ,
- Fractionation Techniques ,
- Mittag-Leffler Function ,
- Quadratic Lyapunov Function ,
- Derivative Of The Lyapunov Function ,
- Adaptive Control Technique ,
- Proof Of Theorem ,
- Trajectories Of System ,
- Nonnegative Constants ,
- Coupling Matrix ,
- Fractional Integral ,
- Coupling Constant