Volume 3 Number 1
January 2006
Article Contents
Yue-Gang Tao, Wen-De Chen and Yi-Xin Yin. Balance Properties and Stabilization of Min-Max Systems. International Journal of Automation and Computing, vol. 3, no. 1, pp. 76-83, 2006 doi:  10.1007/s11633-006-0076-y
Cite as: Yue-Gang Tao, Wen-De Chen and Yi-Xin Yin. Balance Properties and Stabilization of Min-Max Systems. International Journal of Automation and Computing, vol. 3, no. 1, pp. 76-83, 2006 doi:  10.1007/s11633-006-0076-y

Balance Properties and Stabilization of Min-Max Systems

  • Received: 2005-03-01
Fund Project:

This work was supported by National Natural Science of China (No.69874040) the National Key Project of China, and the Hundred Talents Program of the Chinese Academy of Sciences.

通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Metrics

Abstract Views (4141) PDF downloads (1616) Citations (0)

Balance Properties and Stabilization of Min-Max Systems

Fund Project:

This work was supported by National Natural Science of China (No.69874040) the National Key Project of China, and the Hundred Talents Program of the Chinese Academy of Sciences.

Abstract: A variety of problems in operations research, performance analysis, manufacturing, and communication networks, etc., can be modelled as discrete event systems with minimum and maximum constraints. When such systems require only maximum constraints (or dually, only minimum constraints), they can be studied using linear methods based on max-plus algebra. Systems with mixed constraints are called min-max systems in which min, max and addition operations appear simultaneously. A significant amount of work on such systems can be seen in literature. In this paper we provide some new results with regard to the balance problem of min-max functions; these are the structure properties of min-max systems. We use these results in the structural stabilization. Our main results are two sufficient conditions for the balance and one sufficient condition for the structural stabilization. The block technique is used to analyse the structure of the systems. The proposed methods, based on directed graph and max-plus algebra are constructive in nature. We provide several examples to demonstrate how the methods work in practice.

Yue-Gang Tao, Wen-De Chen and Yi-Xin Yin. Balance Properties and Stabilization of Min-Max Systems. International Journal of Automation and Computing, vol. 3, no. 1, pp. 76-83, 2006 doi:  10.1007/s11633-006-0076-y
Citation: Yue-Gang Tao, Wen-De Chen and Yi-Xin Yin. Balance Properties and Stabilization of Min-Max Systems. International Journal of Automation and Computing, vol. 3, no. 1, pp. 76-83, 2006 doi:  10.1007/s11633-006-0076-y
Reference (21)

Catalog

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return