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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8082738, 8 pages
https://doi.org/10.1155/2017/8082738
Research Article

Game Approach for Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems

1School of Management, Guangdong University of Technology, Guangzhou, Guangdong 510520, China
2School of Economics and Commerce, Guangdong University of Technology, Guangzhou, Guangdong 510520, China

Correspondence should be addressed to Ning Bin; moc.361@tudg_nb

Received 29 March 2017; Accepted 7 June 2017; Published 11 July 2017

Academic Editor: Maria L. Gandarias

Copyright © 2017 Ning Bin et al. 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

For simulating and analyzing the input and output problem of national economy more accurately, this paper considers the fast and slow production processes during the course of social production development, takes stochastic economic risks into consideration, and constructs a robust control model to follow the production in the singularly perturbed dynamic input-output systems. Further introducing ideas of noncooperative differential game theory, the robust control model is transformed into a saddle-point equilibrium game model, and a new method for solving dynamic input-output problem by using saddle-point equilibrium strategies is obtained. A numerical result is presented in the end to illustrate the effectiveness of the method.