# The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

O.V. Iftime, Heiko J. Zwart

Research output: Book/ReportReportOther research output

### Abstract

In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.
Original language Undefined Enschede University of Twente, Department of Applied Mathematics Published - 2000

### Publication series

Name Department of Applied Mathematics, University of Twente 1532 0169-2690

• MSC-93B36
• MSC-93C20
• IR-65719
• MSC-47A68
• EWI-3352
• MSC-93C80

### Cite this

Iftime, O. V., & Zwart, H. J. (2000). The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede: University of Twente, Department of Applied Mathematics.
Iftime, O.V. ; Zwart, Heiko J. / The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede : University of Twente, Department of Applied Mathematics, 2000.
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keywords = "MSC-93B36, MSC-93C20, IR-65719, MSC-47A68, EWI-3352, MSC-93C80",
author = "O.V. Iftime and Zwart, {Heiko J.}",
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Iftime, OV & Zwart, HJ 2000, The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. University of Twente, Department of Applied Mathematics, Enschede.
Enschede : University of Twente, Department of Applied Mathematics, 2000.

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

AU - Iftime, O.V.

AU - Zwart, Heiko J.

N1 - Imported from MEMORANDA

PY - 2000

Y1 - 2000

N2 - In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.

AB - In this paper we provide sufficient conditions for the solvability of the standard $H_{\infty}$-suboptimal control problem for linear, time invariant, infinite-dimensional systems with finite-dimensional input and output spaces. The sufficient conditions are formulated in terms of the existence of two $J$-lossless factorizations. For the Wiener algebra class of the transfer functions an algorithm for solving $J$-spectral factorization is given.

KW - MSC-93B36

KW - MSC-93C20

KW - IR-65719

KW - MSC-47A68

KW - EWI-3352

KW - MSC-93C80

M3 - Report

BT - The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

ER -

Iftime OV, Zwart HJ. The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems. Enschede: University of Twente, Department of Applied Mathematics, 2000.