烟台大学学报（自然科学与工程版）2017，Vol.30Issue(4)：273-281,9.DOI:10.13951/j.cnki.37-1213/n.2017.04.002
具有优化调整状态的供应链系统的指数稳定性
Exponential Stability for a Supply Chain System with State of Optimal Adjustment
冯志瑞 1原文志1
作者信息
- 1. 太原师范学院数学系,山西晋中030619
- 折叠
摘要
Abstract
The paper presents a supply chain system with state of optimal adjustment.By choosing space and defining operator of this system,we transfer this model into an abstract Cauchy problem.Using resolvent positive operator theory,we first prove both the main operator and the system operator are resolvent positive operators.Then according to cofinal theory we show that the spectral bound of the main operator is the same as its growth bound.Furthermore,we prove that 0 is the simple eigenvalue of the system operator.By spectral analysis of the system,we find that 0 is the unique spectral point of system on the imaginary axis.As a result,the asymptotic stability of such maintenance system is proved.Finally,we obtain the exponential stability of the system using expansion theorem of semigroup.关键词
供应链/预解正算子/共尾/谱分布/指数稳定性Key words
supply chain/resolvent positive operator/cofinal/spectral distribution/exponential stability分类
数理科学引用本文复制引用
冯志瑞,原文志..具有优化调整状态的供应链系统的指数稳定性[J].烟台大学学报（自然科学与工程版）,2017,30(4):273-281,9.
