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

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

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 H∞ robust control model...

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Main Authors: Ning Bin, Chengke Zhang, Huainian Zhu, Qiyou Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2017/8082738
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spelling doaj-8e2f4f67245744b49037f65d18cfbe0b2020-11-24T22:39:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472017-01-01201710.1155/2017/80827388082738Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output SystemsNing Bin0Chengke Zhang1Huainian Zhu2Qiyou Liu3School of Management, Guangdong University of Technology, Guangzhou, Guangdong 510520, ChinaSchool of Economics and Commerce, Guangdong University of Technology, Guangzhou, Guangdong 510520, ChinaSchool of Economics and Commerce, Guangdong University of Technology, Guangzhou, Guangdong 510520, ChinaSchool of Economics and Commerce, Guangdong University of Technology, Guangzhou, Guangdong 510520, ChinaFor 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 H∞ robust control model to follow the production in the singularly perturbed dynamic input-output systems. Further introducing ideas of noncooperative differential game theory, the H∞ 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.http://dx.doi.org/10.1155/2017/8082738
collection DOAJ
language English
format Article
sources DOAJ
author Ning Bin
Chengke Zhang
Huainian Zhu
Qiyou Liu
spellingShingle Ning Bin
Chengke Zhang
Huainian Zhu
Qiyou Liu
Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
Mathematical Problems in Engineering
author_facet Ning Bin
Chengke Zhang
Huainian Zhu
Qiyou Liu
author_sort Ning Bin
title Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
title_short Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
title_full Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
title_fullStr Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
title_full_unstemmed Game Approach for H∞ Robust Control Strategy to Follow the Production in the Singularly Perturbed Bilinear Dynamic Input-Output Systems
title_sort game approach for h∞ robust control strategy to follow the production in the singularly perturbed bilinear dynamic input-output systems
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2017-01-01
description 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 H∞ robust control model to follow the production in the singularly perturbed dynamic input-output systems. Further introducing ideas of noncooperative differential game theory, the H∞ 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.
url http://dx.doi.org/10.1155/2017/8082738
work_keys_str_mv AT ningbin gameapproachforhrobustcontrolstrategytofollowtheproductioninthesingularlyperturbedbilineardynamicinputoutputsystems
AT chengkezhang gameapproachforhrobustcontrolstrategytofollowtheproductioninthesingularlyperturbedbilineardynamicinputoutputsystems
AT huainianzhu gameapproachforhrobustcontrolstrategytofollowtheproductioninthesingularlyperturbedbilineardynamicinputoutputsystems
AT qiyouliu gameapproachforhrobustcontrolstrategytofollowtheproductioninthesingularlyperturbedbilineardynamicinputoutputsystems
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