Optimal control for a class of bilinear hyperbolic distributed systems

Rabie Zine

doi:10.17654/MS102081761

Optimal control for a class of bilinear hyperbolic distributed systems

Rabie Zine

Prince Sattam Bin Abdulaziz University

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

6 Scopus citations

Abstract

This work gives an extension of previous works on optimal control of distributed bilinear systems. We consider a class of distributed bilinear hyperbolic systems, and propose a method of global approximate controllability with a minimum energy of such systems governed by multiplicative control evolving into a spatial domain Ω. Using optimization techniques, we prove the existence of a solution and give its characterization.

Original language	English
Pages (from-to)	1761-1775
Number of pages	15
Journal	Far East Journal of Mathematical Sciences
Volume	102
Issue number	8
DOIs	https://doi.org/10.17654/MS102081761
State	Published - Oct 2017
Externally published	Yes

Keywords

Distributed systems
Hyperbolic systems
Multiplicative control
Optimal control

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10.17654/MS102081761

Cite this

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title = "Optimal control for a class of bilinear hyperbolic distributed systems",

abstract = "This work gives an extension of previous works on optimal control of distributed bilinear systems. We consider a class of distributed bilinear hyperbolic systems, and propose a method of global approximate controllability with a minimum energy of such systems governed by multiplicative control evolving into a spatial domain Ω. Using optimization techniques, we prove the existence of a solution and give its characterization.",

keywords = "Distributed systems, Hyperbolic systems, Multiplicative control, Optimal control",

author = "Rabie Zine",

note = "Publisher Copyright: {\textcopyright} 2017 Pushpa Publishing House, Allahabad, India.",

year = "2017",

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T1 - Optimal control for a class of bilinear hyperbolic distributed systems

AU - Zine, Rabie

PY - 2017/10

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N2 - This work gives an extension of previous works on optimal control of distributed bilinear systems. We consider a class of distributed bilinear hyperbolic systems, and propose a method of global approximate controllability with a minimum energy of such systems governed by multiplicative control evolving into a spatial domain Ω. Using optimization techniques, we prove the existence of a solution and give its characterization.

AB - This work gives an extension of previous works on optimal control of distributed bilinear systems. We consider a class of distributed bilinear hyperbolic systems, and propose a method of global approximate controllability with a minimum energy of such systems governed by multiplicative control evolving into a spatial domain Ω. Using optimization techniques, we prove the existence of a solution and give its characterization.

KW - Distributed systems

KW - Hyperbolic systems

KW - Multiplicative control

KW - Optimal control

UR - https://www.scopus.com/pages/publications/85032282060

U2 - 10.17654/MS102081761

DO - 10.17654/MS102081761

M3 - Article

AN - SCOPUS:85032282060

SN - 0972-0871

VL - 102

SP - 1761

EP - 1775

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

IS - 8

ER -

Optimal control for a class of bilinear hyperbolic distributed systems

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Keywords

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