Title :
Neural networks for identification of nonlinear systems under random piecewise polynomial disturbances
Author :
Tsypkin, Yakov Z. ; Mason, Julian D. ; Avedyan, Edouard D. ; Warwick, Kevin ; Levin, Ilya K.
Author_Institution :
Inst. of Control Sci., Acad. of Sci., Moscow, Russia
fDate :
3/1/1999 12:00:00 AM
Abstract :
The problem of identification of a nonlinear dynamic system is considered. A two-layer neural network is used for the solution of the problem. Systems disturbed with unmeasurable noise are considered, although it is known that the disturbance is a random piecewise polynomial process. Absorption polynomials and nonquadratic loss functions are used to reduce the effect of this disturbance on the estimates of the optimal memory of the neural-network model
Keywords :
identification; multilayer perceptrons; noise; nonlinear dynamical systems; piecewise polynomial techniques; random processes; absorption polynomials; nonlinear dynamic system; nonlinear system identification; nonquadratic loss functions; optimal memory estimates; random piecewise polynomial disturbances; two-layer neural network; unmeasurable noise; Absorption; Adaptive control; Hopfield neural networks; Multi-layer neural network; Neural networks; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Polynomials; System identification;
Journal_Title :
Neural Networks, IEEE Transactions on