Some Methods Of Optimum Control Of State Linear System ∑(A, B, C)

The linear system optimum control theory distributes one of parameter systembasic topics,in domains and so on aerospace,national defense,finance,communicationhas the widespread application prospect.simultaneously, because the research tech-nique involves to foundation mathematics theories and so on the functional analysis,analysis situs,geometry, algebra. Therefore,theoretically extremely has the significance.This article introduction part introduced the present domestic and foreign relatedoptimum control theory present situation.In first,two chapters gives this article themain conclusion. Namely:The linear systemΣ(A, B, C)may optimize several sufficientconditions. The first conclusion infers the sufficient condition with the aid of thealgebra Riccati equation solution and the semi-group theory nature which the systemmay optimize;Next discussed when the system operator characteristic vector forms theRiesz base,causes control function concrete mathematical expression which its systemmay optimize;Finally summarized the system to be possible to optimize the researchnewest conclusion and the research forecast.