### Abstract

Original language | Undefined |
---|---|

Place of Publication | Enschede |

Publisher | University of Twente, Department of Applied Mathematics |

Publication status | Published - 2000 |

### Publication series

Name | |
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Publisher | Department of Applied Mathematics, University of Twente |

No. | 1532 |

ISSN (Print) | 0169-2690 |

### Keywords

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

### Cite this

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

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*The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems*. University of Twente, Department of Applied Mathematics, Enschede.

**The standard $H_\infty$-suboptimal control problem for LTI infinite dimensional systems.** / Iftime, O.V.; Zwart, Heiko J.

Research output: Book/Report › Report › Other 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 -