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2 QUESTIONS CONCERNING THE BOUNDARY CONTROL OF CERTAIN ELASTIC-SYSTEMS
被引:69
作者
:
DATKO, R
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Georgetown University, Washington
DATKO, R
机构
:
[1]
Department of Mathematics, Georgetown University, Washington
来源
:
JOURNAL OF DIFFERENTIAL EQUATIONS
|
1991年
/ 92卷
/ 01期
关键词
:
D O I
:
10.1016/0022-0396(91)90062-E
中图分类号
:
O1 [数学];
学科分类号
:
0701 ;
070101 ;
摘要
:
We present two questions connected with the stabilization of certain hyperbolic partial differential equations which are controlled on their boundaries. The uncontrolled versions of these systems are conservative and therefore represent only approximate realizations of the physical phenomena. The first question concerns the qualitative behavior of a given stabilizing feedback for such a system vis à vis that of an appropriately damped realization using the same feedback. The second question concerns the robustness of both the original system and a damped version when time delays occur in a given feedback stabilization scheme. © 1991.
引用
收藏
页码:27 / 44
页数:18
相关论文
共 9 条
[1]
NOT ALL FEEDBACK STABILIZED HYPERBOLIC SYSTEMS ARE ROBUST WITH RESPECT TO SMALL TIME DELAYS IN THEIR FEEDBACKS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
机构:
GEORGETOWN UNIV,DEPT MATH,WASHINGTON,DC 20007
GEORGETOWN UNIV,DEPT MATH,WASHINGTON,DC 20007
DATKO, R
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1988,
26
(03)
:697
-713
[2]
AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
DATKO, R
;
LAGNESE, J
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
LAGNESE, J
;
POLIS, MP
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
POLIS, MP
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1986,
24
(01)
:152
-156
[3]
A RANK-ONE PERTURBATION RESULT ON THE SPECTRA OF CERTAIN OPERATORS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
DATKO, R
.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1989,
111
:337
-346
[4]
DATKO R, IN PRESS OPTIM THEOR
[5]
HALE J, 1977, THEORY FUNCTIONAL DI
[6]
LINEAR AUTONOMOUS NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
[J].
HENRY, D
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
HENRY, D
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1974,
15
(01)
:106
-128
[7]
EXACT CONTROLLABILITY, STABILIZATION AND PERTURBATIONS FOR DISTRIBUTED SYSTEMS
[J].
LIONS, JL
论文数:
0
引用数:
0
h-index:
0
机构:
CTR NATL ETUD SPATIALES,PARIS,FRANCE
CTR NATL ETUD SPATIALES,PARIS,FRANCE
LIONS, JL
.
SIAM REVIEW,
1988,
30
(01)
:1
-68
[8]
FEEDBACK-CONTROL OF 2ND ORDER EVOLUTION-EQUATIONS WITH DAMPING
[J].
SAKAWA, Y
论文数:
0
引用数:
0
h-index:
0
SAKAWA, Y
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1984,
22
(03)
:343
-361
[9]
EXACT BOUNDARY CONTROLLABILITY ON L2(OMEGA)XH-1(OMEGA) OF THE WAVE-EQUATION WITH DIRICHLET BOUNDARY CONTROL ACTING ON A PORTION OF THE BOUNDARY-DELTA-OMEGA, AND RELATED PROBLEMS
[J].
TRIGGIANI, R
论文数:
0
引用数:
0
h-index:
0
TRIGGIANI, R
.
APPLIED MATHEMATICS AND OPTIMIZATION,
1988,
18
(03)
:241
-277
←
1
→
共 9 条
[1]
NOT ALL FEEDBACK STABILIZED HYPERBOLIC SYSTEMS ARE ROBUST WITH RESPECT TO SMALL TIME DELAYS IN THEIR FEEDBACKS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
机构:
GEORGETOWN UNIV,DEPT MATH,WASHINGTON,DC 20007
GEORGETOWN UNIV,DEPT MATH,WASHINGTON,DC 20007
DATKO, R
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1988,
26
(03)
:697
-713
[2]
AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
DATKO, R
;
LAGNESE, J
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
LAGNESE, J
;
POLIS, MP
论文数:
0
引用数:
0
h-index:
0
机构:
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
ECOLE POLYTECH,DEPT ELECT ENGN,MONTREAL H3C 3A7,QUEBEC,CANADA
POLIS, MP
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1986,
24
(01)
:152
-156
[3]
A RANK-ONE PERTURBATION RESULT ON THE SPECTRA OF CERTAIN OPERATORS
[J].
DATKO, R
论文数:
0
引用数:
0
h-index:
0
DATKO, R
.
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS,
1989,
111
:337
-346
[4]
DATKO R, IN PRESS OPTIM THEOR
[5]
HALE J, 1977, THEORY FUNCTIONAL DI
[6]
LINEAR AUTONOMOUS NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS
[J].
HENRY, D
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
UNIV KENTUCKY,DEPT MATH,LEXINGTON,KY 40506
HENRY, D
.
JOURNAL OF DIFFERENTIAL EQUATIONS,
1974,
15
(01)
:106
-128
[7]
EXACT CONTROLLABILITY, STABILIZATION AND PERTURBATIONS FOR DISTRIBUTED SYSTEMS
[J].
LIONS, JL
论文数:
0
引用数:
0
h-index:
0
机构:
CTR NATL ETUD SPATIALES,PARIS,FRANCE
CTR NATL ETUD SPATIALES,PARIS,FRANCE
LIONS, JL
.
SIAM REVIEW,
1988,
30
(01)
:1
-68
[8]
FEEDBACK-CONTROL OF 2ND ORDER EVOLUTION-EQUATIONS WITH DAMPING
[J].
SAKAWA, Y
论文数:
0
引用数:
0
h-index:
0
SAKAWA, Y
.
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1984,
22
(03)
:343
-361
[9]
EXACT BOUNDARY CONTROLLABILITY ON L2(OMEGA)XH-1(OMEGA) OF THE WAVE-EQUATION WITH DIRICHLET BOUNDARY CONTROL ACTING ON A PORTION OF THE BOUNDARY-DELTA-OMEGA, AND RELATED PROBLEMS
[J].
TRIGGIANI, R
论文数:
0
引用数:
0
h-index:
0
TRIGGIANI, R
.
APPLIED MATHEMATICS AND OPTIMIZATION,
1988,
18
(03)
:241
-277
←
1
→