Journal ArticleDOI
Finite Time Synchronization of Delayed Quaternion Valued Neural Networks with Fractional Order
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TLDR
The finite time synchronization problem of fractional order quaternion valued neural networks with time delay is investigated through using Lyapunov direct method and the setting time is estimated, which is influenced by the order of fractionAL derivative and control parameters.Abstract:
In this article, the finite time (FT) synchronization problem of fractional order quaternion valued neural networks with time delay is investigated. Without separating the quaternion valued system into two complex valued or four real valued systems, the FT synchronization conditions are derived through using Lyapunov direct method. Furthermore, the setting time is estimated, which is influenced by the order of fractional derivative and control parameters. Finally, numerical simulations are shown to verify the effectiveness of the proposed methods.read more
Citations
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Journal ArticleDOI
Fractional-order discontinuous systems with indefinite LKFs: An application to fractional-order neural networks with time delays.
TL;DR: In this paper, the bipartite fixed-time synchronization for fractional-order signed neural networks with discontinuous activation patterns was discussed, where the Filippov multi-map was used to convert the fixed time stability of the fractional order general solution into the zero solution of fractionalorder differential inclusions.
Journal ArticleDOI
Fractional-order discontinuous systems with indefinite LKFs: An application to fractional-order neural networks with time delays
TL;DR: In this article , the bipartite fixed-time synchronization for fractional-order signed neural networks with discontinuous activation patterns was discussed, where the Filippov multi-map was used to convert the fixed time stability of the fractional order general solution into the zero solution of the differential inclusions.
Journal ArticleDOI
Finite-time synchronization of quaternion-valued neural networks with delays: A switching control method without decomposition
TL;DR: In this paper , a two-step analysis is proposed for finite-time synchronization of quaternion-valued neural networks (QVNNs) with discrete and distributed time delays.
Journal ArticleDOI
Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays
Chen Wang,Hai Zhang,Hai Zhang,Hongmei Zhang,Weiwei Zhang,Weiwei Zhang,Astronautics, Nanjing , China +6 more
TL;DR: By employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks with discrete and distributed delays is derived.
References
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Book
Theory and Applications of Fractional Differential Equations
TL;DR: In this article, the authors present a method for solving Fractional Differential Equations (DFE) using Integral Transform Methods for Explicit Solutions to FractionAL Differentially Equations.
Journal ArticleDOI
Finite-time synchronization of fractional-order memristor-based neural networks with time delays
TL;DR: Using Laplace transform, the generalized Gronwall's inequality, Mittag-Leffler functions and linear feedback control technique, some new sufficient conditions are derived to ensure the finite-time synchronization of addressing FMNNs with fractional order α:1< α<2 and 0<α<1.
Journal ArticleDOI
Existence and uniform stability analysis of fractional-order complex-valued neural networks with time delays.
TL;DR: This paper explains sufficient condition for the existence and uniform stability analysis of fractional-order complex-valued neural networks with constant time delays.
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