## Abstract

In this paper we consider the problem of finding necessary and sufficient conditions for the existence of a Q with no more than k poles in the closed left-half plane such that [formula omitted] in which each of the Rij's is assumed analytic in the closed right-half plane. If solutions exist, we give a formula for all solutions. Special attention is given to the characterization of all optimal solutions. As an application, we recast the frequency weighted optimal Hankel norm model reduction problem as a problem of characterizing every Q which satisfies a condition of the form [formula omitted] in which G is the high-order plant to be approximated and where γ is to be minimized. After reformulation, the model reduction problem is easily solved using the techniques presented in this paper.

Original language | English |
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Pages (from-to) | 447-465 |

Number of pages | 19 |

Journal | IEEE Transactions on Automatic Control |

Volume | 37 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1992 |

Externally published | Yes |

## ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering