A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. Issue 10 (3rd October 2019)

• Record Type: Journal Article
• Authors: Ilyas Ahmad, Mian; Benner, Peter; Feng, Lihong
• Is Part Of: International journal of computer mathematics. Volume 96:Issue 10(2019)
• Page Start: 1899
• Page End: 1909
• Publication Date: 2019-10-03
• Subjects: Model order reduction -- quadratic-bilinear systems -- two-sided projection -- descriptor systems -- multivariable transfer function; 65F99 -- 65L80; Computers -- Periodicals; Numerical analysis -- Periodicals; Automation -- Periodicals; 004.0151
• DOI: 10.1080/00207160.2018.1542134
• Languages: English
• ISSNs: 0020-7160

Abstract

ABSTRACT: We investigate the problem of projection-based interpolation for model reduction of quadratic-bilinear descriptor systems. Existing two-sided projection techniques are analysed and a modified sequence of projection matrices is proposed. It is observed that the proposed technique generates better reduced order systems. Numerical results for some benchmark examples are presented in support of our observation.