title: Chaos control and synchronization, with input saturation, via recurrent neural networks.
abstract: This paper deals with the adaptive tracking problem of non-linear systems in presence of unknown parameters, unmodelled dynamics and input saturation. A high order recurrent neural network is used in order to identify the unknown system and a learning law is obtained using the Lyapunov methodology. Then a stabilizing control law for the reference tracking error dynamics is developed using the Lyapunov methodology and the Sontag control law. Tracking error boundedness is established as a function of a design parameter. The new approach is illustrated by examples of complex dynamical systems: chaos control and synchronization.
authors.affiliation: CINVESTAV, Unidad Guadalajara, Apartado Postal 31-438, Plaza La Luna, Guadalajara, Jalisco C.P. 45091, Mexico. sanchez@gdl.cinvestav.mx
authors.forename: Edgar N
authors.initials: EN
authors.lastname: Sanchez
authors.forename: Luis J
authors.initials: LJ
authors.lastname: Ricalde
mesh_terms: D016571:Neural Networks, Computer; D017711:Nonlinear Dynamics