Globally projective synchronization for Caputo fractional quaternion-valued neural networks with discrete and distributed delays
Chen Wang, Hai Zhang, Hongmei Zhang, Wei Wei Zhang
Abstract
<abstract><p>This paper is devoted to discussing the globally projective synchronization of Caputo fractional-order quaternion-valued neural networks (FOQVNNs) with discrete and distributed delays. Without decomposing the FOQVNNs into several subsystems, by employing the Lyapunov direct method and inequality techniques, the algebraic criterion for the globally projective synchronization is derived. The effectiveness of the proposed result is illustrated by the MATLAB toolboxes and numerical simulation.</p></abstract>
Topics & Concepts
QuaternionMathematicsSynchronization (alternating current)Projective testMATLABAlgebraic numberControl theory (sociology)Artificial neural networkApplied mathematicsPure mathematicsTopology (electrical circuits)Computer scienceMathematical analysisControl (management)CombinatoricsArtificial intelligenceGeometryOperating systemNeural Networks Stability and Synchronizationstochastic dynamics and bifurcationNonlinear Dynamics and Pattern Formation