Abstract
We propose a model reduction technique for quadratic-bilinear descriptor systems. The approach involves approximating the system by a bilinear descriptor system using Carleman bilinearization [1]. It is shown that, by assuming a particular structure of the matrix pencil, the bilinearization process preserves the structure of the matrix pencil in the bilinearized system. Further, we extend the use of the bilinear iterative rational Krylov algorithm (B-IRKA) [2] to descriptor systems to identify a locally ℋ 2 -optimal reduced-order system for the bilinearized system under the assumption that the ℋ 2 norm of the system exists. Applications to the simulation of a nonlinear RC circuit and a lid-driven cavity flow are presented to illustrate the proposed methodology.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
