Time and norm optimal controls for linear parabolic equations: Necessary and sufficient conditions

被引：0

作者：

Fattorini, HO ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

CONTROL AND ESTIMATION OF DISTRIBUTED PARAMETER SYSTEMS | 2003年 / 143卷

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a sufficient condition for time and norm optimality of controls for linear parabolic distributed parameter systems with a pointwise bound on the controls, and explore its interplay with existing necessary conditions. This sufficient condition produces simple examples of optimal controls.

引用

页码：151 / 168

页数：4

共 50 条

[1] ON NORM AND TIME OPTIMAL CONTROLS FOR SYSTEMS DESCRIBED BY LINEAR PARABOLIC PDEs
Tucsnak, Marius
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2025, 63 (01) : 349 - 374
[2] Necessary and sufficient conditions for optimal impulsive rendezvous with linear equations of motion
Carter, TE
DYNAMICS AND CONTROL, 2000, 10 (03) : 219 - 227
[3] Necessary and Sufficient Conditions for optimal impulsive rendezvous and linear equations of motions
Carter, TE
ASTRODYNAMICS 1999, PTS 1-3, 2000, 103 : 1649 - 1662
[4] Necessary Conditions for Optimal Controls of Semilinear Parabolic Equations with Control in the Leading Term
Lou, Hongwei
NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2, 2009, 1168 : 1316 - 1317
[5] Optimal Actuator Location of the Norm Optimal Controls for Degenerate Parabolic Equations
Liu, Yuanhang
Wu, Weijia
Yang, Donghui
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 202 (03) : 1326 - 1358
[6] NECESSARY CONDITIONS FOR OPTIMAL CONTROLS OF ELLIPTIC OR PARABOLIC PROBLEMS
ZOLEZZI, T
SIAM JOURNAL ON CONTROL, 1972, 10 (04): : 594 - 607
[7] Necessary and Sufficient Conditions for Oscillation of Impulsive Delay Parabolic Equations
Gao, Zhenghui
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 486 - 488
[8] Necessary and sufficient conditions for oscillation of impulsive parabolic differential equations with delays
Li, WN
Han, MA
Meng, FW
APPLIED MATHEMATICS LETTERS, 2005, 18 (10) : 1149 - 1155
[9] Necessary and sufficient conditions for oscillation of neutral delay parabolic differential equations
Wei, Nian Li
Bao, Tong Cui
2001, Elsevier Science Inc. (121): : 2 - 3
[10] Necessary and sufficient conditions for oscillation of neutral delay parabolic differential equations
Li, WN
Cui, BT
APPLIED MATHEMATICS AND COMPUTATION, 2001, 121 (2-3) : 147 - 153

← 1 2 3 4 5 →