Constructive methods in the nonlinear problems of control theory

被引：0

作者：

Anikonov Y.E. ^{[1
]}

Krivtsov Y.V. ^{[2
]}

Neshchadim M.V. ^{[1
]}

机构：

[1] Sobolev Institute of Mathematics, Novosibirsk 630090

[2] Siberian State University of Telecommunications and Informatics, Novosibirsk 630102

来源：

Journal of Applied and Industrial Mathematics | 2011年 / 5卷 / 02期

基金：

俄罗斯基础研究基金会;

关键词：

control theory; inverse problem;

D O I：

10.1134/S1990478911020037

中图分类号：

学科分类号：

摘要：

We consider nonlinear control problems of transformation of a substance from one state into another given some boundary data. Our goal is to recover the second order differential operators with three time-independent coefficients. Some constructive analytical methods of study are proposed that use, in particular, the Burman-Lagrange inversion formulas for analytic functions. Some formulas are given for solving the control problems in a few particular cases of the initialboundary data. Alongside the theoretical study, we carry out, on the basis of a logical system of symbolic computation, the practical implementation of the algorithms and programs for automatic generation of the formulas that give the solutions of control problems. © 2011 Pleiades Publishing, Ltd.

引用

页码：165 / 179

页数：14

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