The Nehari problem for discrete-time infinite-dimensional systems

Ruth F Curtain; Mark Opmeer

doi:10.23919/ECC.2007.7068467

The Nehari problem for discrete-time infinite-dimensional systems

Ruth F Curtain
, Mark Opmeer

Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding

2 Citations (SciVal)

Abstract

We give a state space solution for the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. We do not assume exponential stability, but a weaker stability concept (the combination of input-, output- and input-output stability). This allows us to solve the problem for general H-infinity functions.

Original language	English
Title of host publication	Proceedings of the 2007 European Control Conference
Publisher	IEEE
DOIs	https://doi.org/10.23919/ECC.2007.7068467
Publication status	Published - 2007

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10.23919/ECC.2007.7068467

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abstract = "We give a state space solution for the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. We do not assume exponential stability, but a weaker stability concept (the combination of input-, output- and input-output stability). This allows us to solve the problem for general H-infinity functions. ",

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AU - Opmeer, Mark

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AB - We give a state space solution for the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. We do not assume exponential stability, but a weaker stability concept (the combination of input-, output- and input-output stability). This allows us to solve the problem for general H-infinity functions.

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DO - 10.23919/ECC.2007.7068467

M3 - Chapter in a published conference proceeding

BT - Proceedings of the 2007 European Control Conference

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The Nehari problem for discrete-time infinite-dimensional systems

Abstract

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