All solutions of the algebraic Riccati equation for the wave equation

C.R. Kuiper; Heiko J. Zwart

All solutions of the algebraic Riccati equation for the wave equation

Research output: Book/Report › Report › Other research output

Abstract

The construction of the optimal control for a linear system with a known quadratic cost functional is done via the (unique) positive solution of the associated algebraic Riccati equation. However, the algebraic Riccati equation has many more solutions. In this report we construct all solutions for a specific algebraic Riccati equation. The algebraic Riccati equation that we study, is the one associated with the undamped wave equation with cost-criterion the total input energy plus the total kinetic energy.

Original language	Undefined
Place of Publication	Enschede
Publisher	University of Twente, Department of Applied Mathematics
Publication status	Published - 1998

Keywords

MSC-93C20
MSC-47A62
EWI-3273
MSC-49J20
MSC-47A70

Cite this

@book{bb6989e59d81413089c53ee216c28a3a,

title = "All solutions of the algebraic Riccati equation for the wave equation",

abstract = "The construction of the optimal control for a linear system with a known quadratic cost functional is done via the (unique) positive solution of the associated algebraic Riccati equation. However, the algebraic Riccati equation has many more solutions. In this report we construct all solutions for a specific algebraic Riccati equation. The algebraic Riccati equation that we study, is the one associated with the undamped wave equation with cost-criterion the total input energy plus the total kinetic energy.",

keywords = "MSC-93C20, MSC-47A62, EWI-3273, MSC-49J20, MSC-47A70",

author = "C.R. Kuiper and Zwart, {Heiko J.}",

note = "Imported from MEMORANDA",

year = "1998",

language = "Undefined",

publisher = "University of Twente, Department of Applied Mathematics",

}

TY - BOOK

T1 - All solutions of the algebraic Riccati equation for the wave equation

AU - Kuiper, C.R.

AU - Zwart, Heiko J.

N1 - Imported from MEMORANDA

PY - 1998

Y1 - 1998

N2 - The construction of the optimal control for a linear system with a known quadratic cost functional is done via the (unique) positive solution of the associated algebraic Riccati equation. However, the algebraic Riccati equation has many more solutions. In this report we construct all solutions for a specific algebraic Riccati equation. The algebraic Riccati equation that we study, is the one associated with the undamped wave equation with cost-criterion the total input energy plus the total kinetic energy.

AB - The construction of the optimal control for a linear system with a known quadratic cost functional is done via the (unique) positive solution of the associated algebraic Riccati equation. However, the algebraic Riccati equation has many more solutions. In this report we construct all solutions for a specific algebraic Riccati equation. The algebraic Riccati equation that we study, is the one associated with the undamped wave equation with cost-criterion the total input energy plus the total kinetic energy.

KW - MSC-93C20

KW - MSC-47A62

KW - EWI-3273

KW - MSC-49J20

KW - MSC-47A70

M3 - Report

BT - All solutions of the algebraic Riccati equation for the wave equation

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -