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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 863902, 8 pages
http://dx.doi.org/10.1155/2014/863902
Research Article

Adaptive Neural Networks Synchronization of a Four-Dimensional Energy Resource Stochastic System

School of Civil and Architectural Engineering, Liaoning University of Technology, Jinzhou 121001, China

Received 31 December 2013; Accepted 19 January 2014; Published 2 March 2014

Academic Editor: Ming Liu

Copyright © 2014 Duo Meng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

An adaptive neural networks chaos synchronization control method is proposed for a four-dimensional energy resource demand-supply system with input constraints. Assuming the response system contains unknown uncertain nonlinearities and unknown stochastic disturbances, the neural networks and robust terms are used to identify the nonlinearities and overcome the stochastic disturbances, respectively. Based on stochastic Lyapunov stability and robust adaptive theories, an adaptive neural networks synchronization control method is developed. In the design process, an auxiliary design system is employed to address input constraints. Simulation results, which fully coincide with theoretical results, are presented to demonstrate the obtained results.