Equivalent transformation and weighted $H_\infty$-optimization of linear descriptor systems

• Date: 2026
• Main Authors: Mazko, A., Мазко, Алексей, Мазко, Олексій
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8976
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925.51; 681.5.03 We study the problem of generalized $H_\infty$-control for a class of linear descriptor systems with nonzero initial vector. We use a generalized performance measure characterizing the weighted  level of damping of external and initial disturbances. A nondegenerate tra...