# State space formulas for a solution of the suboptimal Nehari problem on the unit disc

### Reference:

Curtain, R. F. and Opmeer, M. R., 2009. State space formulas for a solution of the suboptimal Nehari problem on the unit disc. *Integral Equations and Operator Theory*, 64 (1), pp. 35-59.

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### Official URL:

http://dx.doi.org/10.1007/s00020-009-1679-9

### Abstract

We give state space formulas for a ("central") solution of the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability, we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve the problem for general H-infinity functions.

### Details

Item Type | Articles |

Creators | Curtain, R. F.and Opmeer, M. R. |

DOI | 10.1007/s00020-009-1679-9 |

Uncontrolled Keywords | lyapunov equations,nehari problem,hankel operators,j-spectral factorizations,infinite-dimensional linear systems |

Departments | Faculty of Science > Mathematical Sciences |

Publisher Statement | Opmeer_IEOT_2009_64_1_35.pdf: The original publication is available at www.springerlink.com |

Refereed | Yes |

Status | Published |

ID Code | 14291 |

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