线性时变经济系统分支稳定性研究:生存理论方法  

Componentwise Stability of Time-Varying Linear Economic Systems:A Viability Theory Approach

作　　者：王东宏[1] 王春峰[2] 赵胜民[3] 李光泉[2] 

机构地区：[1]江苏理工大学电气系,江苏镇江212013 [2]天津大学系统工程研究所,天津300072 [3]天津大学数学系,天津300072

出　　处：《系统工程理论与实践》2000年第12期67-72,共6页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(79500012)

摘　　要：研究线性时变经济系统的分支稳定性问题 .定义了描述系统状态约束的集值映射 ,利用生存理论 ,分别给出了在状态约束为光滑和非光滑时系统分支渐近稳定的充要条件 .In this paper the problem of componentwise stability of time\|varying linear economic systems is investigated. A set-valued map that represents the constraint of the state of the systems is defined. And, by applying the viability theory, sufficient and necessary conditions for the componentwise asymptotic stability of this kind of systems are given in the case of smooth constraint and non\|smooth constraint, respectively.

关 键 词：分支稳定性 时变线性系统 生存理论 

分 类 号：F224.12[经济管理—国民经济]