Optimal control of parameters and input functions for nonlinear systems

Y. H. Kang; S. Lenhart; V. Protopopescu

Optimal control of parameters and input functions for nonlinear systems

Y. H. Kang
, S. Lenhart
, V. Protopopescu

Computational Sciences & Engineering Div

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

5 Scopus citations

Abstract

We consider the optimal control problem for both parameters and functions for general nonlinear systems. We show existence of optimal solution and present necessary optimality conditions. We illustrate the approach on two examples.

Original language	English
Pages (from-to)	1231-1256
Number of pages	26
Journal	Houston Journal of Mathematics
Volume	33
Issue number	4
State	Published - 2007

Keywords

Galerkin method
Nonlinear systems
Optimal control

Cite this

@article{8b22b3abe05c4f48ab75a09fb9f2f9d2,

title = "Optimal control of parameters and input functions for nonlinear systems",

abstract = "We consider the optimal control problem for both parameters and functions for general nonlinear systems. We show existence of optimal solution and present necessary optimality conditions. We illustrate the approach on two examples.",

keywords = "Galerkin method, Nonlinear systems, Optimal control",

author = "Kang, \{Y. H.\} and S. Lenhart and V. Protopopescu",

year = "2007",

language = "English",

volume = "33",

pages = "1231--1256",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

number = "4",

}

TY - JOUR

T1 - Optimal control of parameters and input functions for nonlinear systems

AU - Kang, Y. H.

AU - Lenhart, S.

AU - Protopopescu, V.

PY - 2007

Y1 - 2007

N2 - We consider the optimal control problem for both parameters and functions for general nonlinear systems. We show existence of optimal solution and present necessary optimality conditions. We illustrate the approach on two examples.

AB - We consider the optimal control problem for both parameters and functions for general nonlinear systems. We show existence of optimal solution and present necessary optimality conditions. We illustrate the approach on two examples.

KW - Galerkin method

KW - Nonlinear systems

KW - Optimal control

UR - https://www.scopus.com/pages/publications/38149066660

M3 - Article

AN - SCOPUS:38149066660

SN - 0362-1588

VL - 33

SP - 1231

EP - 1256

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 4

ER -

Optimal control of parameters and input functions for nonlinear systems

Abstract

Keywords

Other files and links

Fingerprint

Cite this