A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems

Fritz Colonius

doi:10.1007/bf01442124

A penalty function proof of a Lagrange multiplier theorem with application to linear delay systems

Applied Mathematics & Optimization ◽

10.1007/bf01442124 ◽

1981 ◽

Vol 7 (1) ◽

pp. 309-334 ◽

Cited By ~ 4

Author(s):

Fritz Colonius

Keyword(s):

Lagrange Multiplier ◽

Penalty Function ◽

Delay Systems ◽

Multiplier Theorem ◽

Linear Delay ◽

Lagrange Multiplier Theorem

Download Full-text

The Lagrange Multiplier Theorem for Max-Min with Several Constraints

SIAM Journal on Applied Mathematics ◽

10.1137/0114054 ◽

1966 ◽

Vol 14 (4) ◽

pp. 665-667 ◽

Cited By ~ 24

Author(s):

Joseph Bram

Keyword(s):

Lagrange Multiplier ◽

Multiplier Theorem ◽

Lagrange Multiplier Theorem

Download Full-text

A short elementary proof of the Lagrange multiplier theorem

Optimization Letters ◽

10.1007/s11590-011-0349-4 ◽

2011 ◽

Vol 6 (8) ◽

pp. 1597-1601 ◽

Cited By ~ 3

Author(s):

Olga Brezhneva ◽

Alexey A. Tret’yakov ◽

Stephen E. Wright

Keyword(s):

Lagrange Multiplier ◽

Elementary Proof ◽

Multiplier Theorem ◽

Lagrange Multiplier Theorem

Download Full-text

A Lagrange multiplier theorem and a sandwich theorem for convex relations.

MATHEMATICA SCANDINAVICA ◽

10.7146/math.scand.a-11911 ◽

1981 ◽

Vol 48 ◽

pp. 189 ◽

Cited By ~ 42

Author(s):

J. M. Borwein

Keyword(s):

Lagrange Multiplier ◽

Multiplier Theorem ◽

Sandwich Theorem ◽

Lagrange Multiplier Theorem

Download Full-text

A lagrange multiplier theorem for control problems with state constraints

Numerical Functional Analysis and Optimization ◽

10.1080/01630569808816854 ◽

1998 ◽

Vol 19 (7-8) ◽

pp. 697-704 ◽

Cited By ~ 17

Author(s):

J. -J. Alibert ◽

J. -P. Raymond

Keyword(s):

Lagrange Multiplier ◽

State Constraints ◽

Control Problems ◽

Multiplier Theorem ◽

Lagrange Multiplier Theorem

Download Full-text

Lagrange multiplier theorem of multiobjective programming problems with set functions

Journal of Optimization Theory and Applications ◽

10.1007/bf00940508 ◽

1991 ◽

Vol 70 (1) ◽

pp. 137-155 ◽

Cited By ~ 15

Author(s):

W. S. Hsia ◽

T. Y. Lee ◽

J. Y. Lee

Keyword(s):

Lagrange Multiplier ◽

Multiobjective Programming ◽

Multiplier Theorem ◽

Set Functions ◽

Lagrange Multiplier Theorem ◽

Multiobjective Programming Problems

Download Full-text

A sharp Lagrange multiplier theorem for nonlinear programs

Journal of Global Optimization ◽

10.1007/s10898-015-0379-z ◽

2015 ◽

Vol 65 (3) ◽

pp. 513-530 ◽

Cited By ~ 5

Author(s):

M. Ruiz Galán

Keyword(s):

Lagrange Multiplier ◽

Multiplier Theorem ◽

Nonlinear Programs ◽

Lagrange Multiplier Theorem

Download Full-text

On the Lagrange multiplier theorem in Banach spaces

Computational and Applied Mathematics ◽

10.1007/s40314-013-0018-6 ◽

2013 ◽

Vol 32 (1) ◽

pp. 135-144 ◽

Cited By ~ 1

Author(s):

Fabio Botelho

Keyword(s):

Banach Spaces ◽

Lagrange Multiplier ◽

Multiplier Theorem ◽

Lagrange Multiplier Theorem

Download Full-text

An elementary proof of the Lagrange multiplier theorem in normed linear spaces

Optimization ◽

10.1080/02331934.2011.603323 ◽

2012 ◽

Vol 61 (12) ◽

pp. 1511-1517 ◽

Cited By ~ 2

Author(s):

Olga Brezhneva ◽

Alexey A. Tret'yakov

Keyword(s):

Lagrange Multiplier ◽

Elementary Proof ◽

Multiplier Theorem ◽

Linear Spaces ◽

Normed Linear Spaces ◽

Lagrange Multiplier Theorem

Download Full-text

Polyhedral approximation method for reachable sets of linear delay systems

IET Control Theory and Applications ◽

10.1049/iet-cta.2019.0841 ◽

2020 ◽

Vol 14 (12) ◽

pp. 1548-1556

Author(s):

Renhong Hu ◽

Lizhen Shao ◽

Yuhao Cong

Keyword(s):

Approximation Method ◽

Reachable Sets ◽

Delay Systems ◽

Polyhedral Approximation ◽

Linear Delay

Download Full-text

On the Notion of Duality for Linear Delay Systems

IFAC Proceedings Volumes ◽

10.1016/s1474-6670(17)41123-2 ◽

1998 ◽

Vol 31 (19) ◽

pp. 25-30

Author(s):

H. Mounier ◽

J. Rudolph

Keyword(s):

Delay Systems ◽

Linear Delay

Download Full-text