具有时滞的不连续价格模型有限时间稳定化分析  

Finite Time Stabilization Analysis of Discontinuous Price Model with Time Delay

作　　者：周亚君 刘志苏 刘艳琪[1] ZHOU Yajun;LIU Zhisu;LIU Yanqi(School of Mathematics and Physics,University of south China,Hengyang,Hunan 421001,China)

机构地区：[1]南华大学数理学院,湖南衡阳421001

出　　处：《南华大学学报（自然科学版）》2020年第6期62-66,共5页Journal of University of South China：Science and Technology

基　　金：南华大学核燃料循环技术与装备湖南省协同创新中心开放基金项目(2019KFZ10)。

摘　　要：对一类具有时滞的不连续价格调整模型有限时间稳定控制问题进行研究,特征是右端不连续微分方程。通过利用扩展微分包含理论,非光滑分析方法,有限时间稳定性定理和Lyapunov函数法,建立了一些新的准则,用具体的控制器来保证不连续价格调整模型的有限时间稳定性。This paper is concerned with the finite time stability control of a class of discontinuous price adjustment model with time delay which is characterized by the right end discontinuous differential equation.By employing the extended differential inclusion theory,non-smooth analysis method,finite time stability theorem and Lyapunov function method,it established some new criteria ensuring the finite time stability of discontinuous price adjustment model with a concrete controllers.

关 键 词：时滞 Lyapunov函数法 不连续价格调整模型 有限时间稳定性 

分 类 号：O175[理学—数学]