Bounded-input bounded-output stability of a damped nonlinear string

被引：14

作者：

Shahruz, SM

机构：

[1] Berkeley Engineering Research Institute, Berkeley

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 1996年 / 41卷 / 08期

关键词：

D O I：

10.1109/9.533679

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we prove that the displacement of a damped nonlinear string under bounded distributed forces is bounded. The proof is achieved by showing that an energy-like (Lyapunov) function corresponding to the string is bounded.

引用

页码：1179 / 1182

页数：4

共 27 条

[1] STABILITY OF NONLINEAR OSCILLATIONS OF STRETCHED STRINGS
ANAND, GV
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1969, 46 (3P2) : 667 - &
[2] LARGE-AMPLITUDE DAMPED FREE VIBRATION OF A STRETCHED STRING
ANAND, GV
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1969, 45 (05) : 1089 - &
[3] AROSIO A, 1984, NONLINEAR PARTIAL DI, P1
[4] Birkhoff G., 1989, ORDINARY DIFFERENTIA
[5] ON THE NON-LINEAR VIBRATION PROBLEM OF THE ELASTIC STRING
CARRIER, GF
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1945, 3 (02) : 157 - 165
[6] STABILITY OF PERIODIC-SOLUTIONS OF THE NON-LINEAR STRING
DICKEY, RW
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1980, 38 (02) : 253 - 259
[7] INITIAL VALUE-PROBLEM FOR A NON-LINEAR SEMI-INFINITE STRING
DICKEY, RW
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1978, 82 : 19 - 26
[8] DRIVEN NONLINEAR OSCILLATIONS OF A STRING
ELLER, AI
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1972, 51 (03) : 960 - &
[9] THE NONLINEAR FREE-VIBRATION OF A DAMPED ELASTIC STRING
GOUGH, C
[J]. JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1984, 75 (06) : 1770 - 1776
[10] Kirchhoff G., 1877, Vorlesungen uber mathematische Physik. Mechanik, V2te

← 1 2 3 →