Multiobjective H2/H∞ by banach space operator theory
Ημερομηνία
2001Source
Proceedings of the IEEE Conference on Decision and ControlProceedings of the IEEE Conference on Decision and Control
Volume
4Pages
3982-3984Google Scholar check
Keyword(s):
Metadata
Εμφάνιση πλήρους εγγραφήςΕπιτομή
In this paper Banach space duality theory and operator theory are combined to show that the optimal performance index in the multiobjective H2/H∞ is equal to the operator induced norm of a particular operator. This operator is shown to act on special Banach spaces, and is a projection of a multiplication operator. Finally, under a certain continuity assumption, it is shown that there exist maximal vectors, which leads to an exact solution to the multiobjective H2/H∞ problem.