一般线性有理期望经济模型的新指数稳定法则

J4 ›› 2011, Vol. 46 ›› Issue (7): 78-82.

一般线性有理期望经济模型的新指数稳定法则

刘龙^1,李明²,于立洋³

1. 黑龙江科技学院理学院, 黑龙江哈尔滨 150027; 2. 哈尔滨工程大学理学院, 黑龙江哈尔滨 150001;
3. 牡丹江师范学院计算机科学与技术系, 黑龙江牡丹江 157012

收稿日期:2011-03-07 出版日期:2011-07-20 发布日期:2011-09-08
作者简介:刘龙(1973- ),男,副教授,硕士,研究方向为中立型时滞系统的鲁棒控制.Email:liuchuqiao1973@163.com
基金资助:
黑龙江省教育厅科学技术研究项目(11544021);中央高校基本科研业务费专项基金资助项目(HEUCF20111147)

Novel criterion of exponential stability for a generic linear rational expectations model of economy

LIU Long¹, LI Ming², YU Li-yang³

1. College of Science, Heilongjiang Institute of Science and Technology, Harbin 150027, Heilongjiang, China;
2. School of Science, Harbin Engineering University, Harbin 150001, Heilongjiang, China;
3. Department of Computer Science and Technology, Mudanjiang Normal University,
Mudanjiang 157012, Heilongjiang, China

Received:2011-03-07 Online:2011-07-20 Published:2011-09-08

摘要/Abstract

摘要：

研究了带有不确定性与时变延时的一般线性有理期望经济模型的新指数稳定法则问题,经济系统中的不确定性被描述成为范数有界的。基于LMI的方法得到相关结论。最后,通过数值算例验证了所用方法的可行性。

关键词: 经济模型; 一般有理期望模型; 线性矩阵不等式

Abstract:

The problem of exponential stability for a generic linear rational expectations model of economy was discussed. The norm-bounded uncertainties were used to describe the uncertainties of economic system. Based on the approach of LMI, the result was presented. Finally, an example was given to show the benefit of the presented approach.

Key words: Economic model; linear rational expectations model; linear matrix inequalities(LMIs)

刘龙1,李明2,于立洋3. 一般线性有理期望经济模型的新指数稳定法则[J]. J4, 2011, 46(7): 78-82.

LIU Long1, LI Ming2, YU Li-yang3. Novel criterion of exponential stability for a generic linear rational expectations model of economy[J]. J4, 2011, 46(7): 78-82.

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