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中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2015, Vol. 32 ›› Issue (2): 307-316.doi: 10.3969/j.issn.1005-3085.2015.02.015

• • 上一篇    

具时滞和脉冲影响的同类商品价格波动模型的全局指数稳定性(英)

宋学力,   赵  盼,   王小伟   

  1. 长安大学理学院，西安  710064
  • 收稿日期:2014-06-21 接受日期:2014-12-18 出版日期:2015-04-15 发布日期:2015-06-15
  • 基金资助:
    国家自然科学基金 (11201038; 11171043; 11202035; 11001031)；陕西省青年科技新星计划 (2014KJXX-55)；长安大学中央高校基础科学研究专项资金 (2013G2121017; CHD2012TD015; CHD2012JC010)；中华人民共和国人事部自然科学基金项目.

Global Exponential Stability of the Single Commodity Price Fluctuation Model with Delays and Impulses

SONG Xue-li,   ZHAO Pan,   WANG Xiao-wei   

  1. School of Science, Chang'an University, Xi'an 710064
  • Received:2014-06-21 Accepted:2014-12-18 Online:2015-04-15 Published:2015-06-15
  • Supported by:
    The National Natural Science Foundation of China (11201038; 11171043; 11202035; 11001031); the Youth Science and Technology Nova Program of Shaanxi Province (2014KJXX-55); the Special Fund for Basic Scientific Research of Central Colleges in Chang'an University (2013G2121017; CHD2012TD015; CHD2012JC010); the Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China the Natural Science. 

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摘要： 本文研究了具时滞和脉冲影响的同类商品的价格波动模型的全局指数稳定性．我们利用非线性测度方法，给出了该价格模型的全局指数稳定性的充分条件．和现有的研究结果相比，我们的方法去除了需求和供应函数的常用单调性假设并且考了脉冲对价格波动过程的影响，这说明了所研究的模型是某些现有模型的推广．此外，我们得到的研究结果是现有某些结果的部分改进和推广．提供的例子验证了本文的方法和结果的有效性．

关键词: 全局指数稳定性, 价格波动, 非线性测度, 时滞, 脉冲

Abstract:

This paper is devoted to the global exponential stability of the single commodity price fluctuation model with delayed and impulsive factors. Particularly, by means of nonlinear measure method, we provide a sufficient condition for global exponential stability of the price fluctuation model. Compared with some existing results, our method abandons the conventional monotonicity of demand and supply functions and considers the impulsive effect on the price fluctuating process, which means that our model is a generalization of existing ones. Moreover, our result is partial improvement and extension of some existing ones. An illustrative example and its simulation are provided to illustrate validity of our method and result.

Key words: global exponential stability, price fluctuation, nonlinear measure, delay, impulse

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