Fractional Complex Dynamical Systems for Trajectory Tracking using Fractional Neural Network

In this paper the problem of trajectory tracking is studied. Based on Lyapunov theory, a control law that achieves global asymptotic stability of the tracking error between a fractional recurrent neural network and the state of each single node of the fractional complex dynamical network is obtained...

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Detalles Bibliográficos
Autor: Joel Perez P.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:México
Institución:Universidad Autónoma de Nuevo León
Repositorio:Redalyc-UANL
OAI Identifier:oai:redalyc.org:61547018005
Acceso en línea:https://www.redalyc.org/articulo.oa?id=61547018005
Access Level:acceso abierto
Palabra clave:Computación
control law
Lyapunov theory
trajectory tracking
Fractional complex dynamical systems
Descripción
Sumario:In this paper the problem of trajectory tracking is studied. Based on Lyapunov theory, a control law that achieves global asymptotic stability of the tracking error between a fractional recurrent neural network and the state of each single node of the fractional complex dynamical network is obtained. To illustrate the analytic results we present a tracking simulation of a simple network with four different nodes and five non-uniform links.