Linear quadratic differential games with cheap control

Ian R. Petersen

doi:10.1016/0167-6911(86)90077-0

Linear quadratic differential games with cheap control

Ian R. Petersen^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

39 Citations (Scopus)

Abstract

This paper considers a linear quadratic differential game in which the weighting on the minimizing control is allowed to approach zero. It is shown that if a certain minimum phase condition is satisfied then the value of the game will approach zero as the weighting on the minimizing control approaches zero.

Original language	English
Pages (from-to)	181-188
Number of pages	8
Journal	Systems and Control Letters
Volume	8
Issue number	2
DOIs	https://doi.org/10.1016/0167-6911(86)90077-0
Publication status	Published - Dec 1986
Externally published	Yes

Access to Document

10.1016/0167-6911(86)90077-0

Cite this

@article{90d9eadba29f491b98db2aa86522bdaf,

title = "Linear quadratic differential games with cheap control",

abstract = "This paper considers a linear quadratic differential game in which the weighting on the minimizing control is allowed to approach zero. It is shown that if a certain minimum phase condition is satisfied then the value of the game will approach zero as the weighting on the minimizing control approaches zero.",

keywords = "Cheap control, Differential games, High gain control, Riccati equations",

author = "Petersen, \{Ian R.\}",

note = "{\textcopyright}1986 The authors ",

year = "1986",

month = dec,

doi = "10.1016/0167-6911(86)90077-0",

language = "English",

volume = "8",

pages = "181--188",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier B.V.",

number = "2",

}

TY - JOUR

T1 - Linear quadratic differential games with cheap control

AU - Petersen, Ian R.

PY - 1986/12

Y1 - 1986/12

N2 - This paper considers a linear quadratic differential game in which the weighting on the minimizing control is allowed to approach zero. It is shown that if a certain minimum phase condition is satisfied then the value of the game will approach zero as the weighting on the minimizing control approaches zero.

AB - This paper considers a linear quadratic differential game in which the weighting on the minimizing control is allowed to approach zero. It is shown that if a certain minimum phase condition is satisfied then the value of the game will approach zero as the weighting on the minimizing control approaches zero.

KW - Cheap control

KW - Differential games

KW - High gain control

KW - Riccati equations

UR - https://www.scopus.com/pages/publications/0022902220

U2 - 10.1016/0167-6911(86)90077-0

DO - 10.1016/0167-6911(86)90077-0

M3 - Article

AN - SCOPUS:0022902220

SN - 0167-6911

VL - 8

SP - 181

EP - 188

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 2

ER -

Linear quadratic differential games with cheap control

Abstract

Access to Document

Other files and links

Fingerprint

Cite this