Tracking of Solutions to Parabolic Equations with Memory in a General Class of Controls

作     者：Surkov, P. G. 

作者机构：Ural Fed Univ Ul Mira 19 Ekaterinburg 620002 Russia 

出 版 物：《RUSSIAN MATHEMATICS》 (Russ. Math.)

年 卷 期：2016年第60卷第10期

页      面：44-54页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Ural Branch of the Russian Academy of Science [15-7-1-22] 

主　　题：systems with distributed parameters delay systems control 

摘      要：We consider a control problem for a parabolic equation with memory. It consists in constructing an algorithm for finding a feedback control which enables one to track a solution of the given equation with an unknown right-hand side. For this problem we propose two noise-resistant solution algorithms based on the method of extremal shift. The first algorithm is applicable in the case of continuous measurements of phase states, whereas the second one presumes discrete measurements.