Stabilization with discounted optimal control

Vladimir Gaitsgory; Lars Grüne; Neil Thatcher

doi:10.1016/j.sysconle.2015.05.010

Stabilization with discounted optimal control

Vladimir Gaitsgory, Lars Grüne^*, Neil Thatcher

^*Corresponding author for this work

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

51 Citations (Scopus)

Abstract

Abstract We provide a condition under which infinite horizon discounted optimal control problems can be used in order to obtain stabilizing controls for nonlinear systems. The paper gives a mathematical analysis of the problem as well as an illustration by a numerical example.

Original language	English
Article number	3932
Pages (from-to)	91-98
Number of pages	8
Journal	Systems and Control Letters
Volume	82
DOIs	https://doi.org/10.1016/j.sysconle.2015.05.010
Publication status	Published - Aug 2015

Access to Document

10.1016/j.sysconle.2015.05.010

Cite this

@article{05dcc9d934314593a9e3419b61f8c429,

title = "Stabilization with discounted optimal control",

abstract = "Abstract We provide a condition under which infinite horizon discounted optimal control problems can be used in order to obtain stabilizing controls for nonlinear systems. The paper gives a mathematical analysis of the problem as well as an illustration by a numerical example.",

author = "Vladimir Gaitsgory and Lars Gr{\"u}ne and Neil Thatcher",

year = "2015",

month = aug,

doi = "10.1016/j.sysconle.2015.05.010",

language = "English",

volume = "82",

pages = "91--98",

journal = "Systems and Control Letters",

issn = "0167-6911",

publisher = "Elsevier",

}

TY - JOUR

T1 - Stabilization with discounted optimal control

AU - Gaitsgory, Vladimir

AU - Grüne, Lars

AU - Thatcher, Neil

PY - 2015/8

Y1 - 2015/8

N2 - Abstract We provide a condition under which infinite horizon discounted optimal control problems can be used in order to obtain stabilizing controls for nonlinear systems. The paper gives a mathematical analysis of the problem as well as an illustration by a numerical example.

AB - Abstract We provide a condition under which infinite horizon discounted optimal control problems can be used in order to obtain stabilizing controls for nonlinear systems. The paper gives a mathematical analysis of the problem as well as an illustration by a numerical example.

UR - https://www.scopus.com/pages/publications/84936804410

U2 - 10.1016/j.sysconle.2015.05.010

DO - 10.1016/j.sysconle.2015.05.010

M3 - Article

AN - SCOPUS:84936804410

SN - 0167-6911

VL - 82

SP - 91

EP - 98

JO - Systems and Control Letters

JF - Systems and Control Letters

M1 - 3932

ER -

Stabilization with discounted optimal control

Abstract

Access to Document

Other files and links

Fingerprint

Cite this