Hankel norm approximation for well-posed linear systems

Ruth F. Curtain; A.J. Sasane

doi:10.1016/S0167-6911(02)00301-8

Hankel norm approximation for well-posed linear systems

Ruth F. Curtain, A.J. Sasane

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Abstract

The sub-optimal Hankel norm approximation problem is solved for a well-posed linear system with generating operators (A,B,C) and transfer function G satisfying some mild assumptions. In the special case of the sub-optimal Nehari problem, an explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C and G(0).

Original language	Undefined
Pages (from-to)	407-414
Journal	Systems and control letters
Volume	48
Issue number	5
DOIs	https://doi.org/10.1016/S0167-6911(02)00301-8
Publication status	Published - 2003

Keywords

Nehari problem
Hankel norm approximation problem
IR-75492
Well-posed infinite-dimensional linear systems

Access to Document

10.1016/S0167-6911(02)00301-8

Cite this

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title = "Hankel norm approximation for well-posed linear systems",

abstract = "The sub-optimal Hankel norm approximation problem is solved for a well-posed linear system with generating operators (A,B,C) and transfer function G satisfying some mild assumptions. In the special case of the sub-optimal Nehari problem, an explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C and G(0).",

keywords = "Nehari problem, Hankel norm approximation problem, IR-75492, Well-posed infinite-dimensional linear systems",

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T1 - Hankel norm approximation for well-posed linear systems

AU - Curtain, Ruth F.

AU - Sasane, A.J.

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AB - The sub-optimal Hankel norm approximation problem is solved for a well-posed linear system with generating operators (A,B,C) and transfer function G satisfying some mild assumptions. In the special case of the sub-optimal Nehari problem, an explicit parameterization of all solutions is obtained in terms of the system parameters A, B, C and G(0).

KW - Nehari problem

KW - Hankel norm approximation problem

KW - IR-75492

KW - Well-posed infinite-dimensional linear systems

U2 - 10.1016/S0167-6911(02)00301-8

DO - 10.1016/S0167-6911(02)00301-8

M3 - Article

SN - 0167-6911

VL - 48

SP - 407

EP - 414

JO - Systems and control letters

JF - Systems and control letters

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