Trajectory tracking error using fractional order time-delay recurrent neural networks using Krasovskii-Lur’e functional for Chua’s circuit via inverse optimal control
Document title: Trajectory tracking error using fractional order time-delay recurrent neural networks using Krasovskii-Lur’e functional for Chua’s circuit via inverse optimal control
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000439018
ISSN: 0035-001X
Authors: 1
1
2
2
Institutions: 1Universidad Autónoma de Nuevo León, Facultad de Ciencias Fisico-Matematicas, San Nicolás de los Garza, Nuevo León. México
2Centro de Investigación y Estudios de Posgrado, Facultad de Ingeniería, San Luis Potosí. México
Year:
Season: Ene-Feb
Volumen: 66
Number: 1
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract This paper presents an application of a Fractional-Order Time Delay Neural Networks to chaos synchronization. The two main methodologies, on which the approach is based, are fractional-order time-delay recurrent neural networks and the fractional-order inverse optimal control for nonlinear systems. The problem of trajectory tracking is studied, based on the fractional-order Lyapunov-Krasovskii and Lur’e theory, that achieves the global asymptotic stability of the tracking error between a delayed recurrent neural network and a reference function is obtained. The method is illustrated for the synchronization, the analytic results we present a trajectory tracking simulation of a fractional-order time-delay dynamical network and the Fractional Order Chua’s circuits
Disciplines: Física y astronomía
Keyword: Física,
Seguimiento de trayectoria,
Red neuronal recurrente de retardo de tiempo de orden fraccional,
Análisis de Lyapunov-Krasovskii y Lur’e en orden fraccionario
Keyword: Physics,
Trajectory tracking,
Fractional order time-delay recurrent neural network,
Fractional order Lyapunov-Krasovskii and Lur’e analysis
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