Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Applied Mathematics A Journal of Chinese Universities》 1986-02
Add to Favorite Get Latest Update

A METHOD OF ESTIMATING THE AREA WITHOUT OVERSHOOT BY CONVEXPOLYHEDRONS ON LINEAR SYSTEM OF HIGH ORDER

Tan Zc Guan ( Qinghua University )  
This paper deals with the problem of how, to determine the region of the initial value in a linear differential equation of high order when the u-pper and lower bounds of the Solutions have been given. This is u funda-mental problem in automatic control, which is usually solved by constru-cting лsinyHOB functions. Here, we try to solve it from another approach.Fir- , st it is changed into a mathematical programming problem, then the region is estimated by convex polyhedrons. It is easy to see that this appJoach has greater flexibility and precision than the method of using лsinyHOB fu-nctions. In addition, we proved the convergence of the method. At the eud of the article, an example is provided.
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved