Boundary observability of elastic vibrations in a system of sequentially connected strings

被引：0

作者：

Egorov, A. I. ^{[1
]}

Znamenskaya, L. N. ^{[1
]}

机构：

[1] Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Moscow Oblast, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

system with distributed and lumped parameters; wave equation; observability of elastic vibrations; CONTROLLABILITY; OBJECTS;

D O I：

10.1134/S0965542512070056

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The observability problem for the elastic vibrations of a system consisting of sequentially connected objects with distributed parameters is solved. An object with lumped parameters is connected to the system. The initial state of the system is recovered from observations on its boundary and at the connection point of the objects with distributed and lumped parameters.

引用

页码：1233 / 1238

页数：6

共 50 条

[1] Boundary observability of elastic vibrations in a system of sequentially connected strings
A. I. Egorov
L. N. Znamenskaya
Computational Mathematics and Mathematical Physics, 2012, 52 : 1233 - 1238
[2] On boundary observability of elastic vibrations of connected objects with distributed and lumped parameters
Egorov, A. I.
Znamenskaya, L. N.
AUTOMATION AND REMOTE CONTROL, 2007, 68 (02) : 296 - 302
[3] On boundary observability of elastic vibrations of connected objects with distributed and lumped parameters
A. I. Egorov
L. N. Znamenskaya
Automation and Remote Control, 2007, 68 : 296 - 302
[4] Problems of boundary observability of elastic vibrations described by the system of telegrapher equations
L. N. Znamenskaya
Z. E. Potapova
Automation and Remote Control, 2007, 68 : 303 - 312
[5] Problems of boundary observability of elastic vibrations described by the system of telegrapher equations
Znamenskaya, L. N.
Potapova, Z. E.
AUTOMATION AND REMOTE CONTROL, 2007, 68 (02) : 303 - 312
[6] Free vibrations of axially moving strings: Energy estimates and boundary observability
Ghenimi, Seyf Eddine
Sengouga, Abdelmouhcene
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 13716 - 13730
[7] Observability of Elastic Vibrations of a Beam
Egorov, A. I.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2008, 48 (06) : 912 - 917
[8] On boundary observability estimates for semi-discretizations of a dynamic network of elastic strings
Brauer, U
Leugering, G
CONTROL AND CYBERNETICS, 1999, 28 (03): : 421 - 447
[9] Observability of elastic vibrations of a beam
A. I. Egorov
Computational Mathematics and Mathematical Physics, 2008, 48 : 912 - 917
[10] Vibrations of ballooning elastic strings
Zhu, F
Sharma, R
Rahn, CD
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1997, 64 (03): : 676 - 683

← 1 2 3 4 5 →