Parameterization of suboptimal solutions of the Nehari problem for infinite-dimensional systems
Date
2007Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Electronic ISSN
1558-2523
Publisher
Institute of Electrical and Electronics Engineers
Volume
52
Issue
12
Pages
2369 - 2374
Language
English
Type
ArticleItem Usage Stats
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Abstract
The Nehari problem plays an important role in H∞ control theory. It is well known that H∞ control problem can be reduced to solving this problem. This note gives a parameterization of all suboptimal solutions of the Nehari problem for a class of infinite-dimensional systems. Many earlier solutions of this problem are seen to be special cases of this new parameterization. It is also shown that for finite impulse response systems this parameterization takes a particularly simple form.