Abstract
This paper takes a new approach to the problem of frequency weighted L 2 optimal model reduction in the continuous case. Instead of trying to find an optimal reduced-order model, whose existence remains an unresolved issue, we consider the problem of seeking a reduced-order model with cost only differing from the optimal cost by a prescribed tolerance. It is shown that this problem can be reduced to a smooth constrained optimization problem which is guaranteed to admit a global minimum. A convergent gradient flow algorithm is proposed to solve the latter problem. Numerical results are presented to illustrate the effectiveness of this approach.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.