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.