Weighted estimation and reduction of influence of bounded perturbations in descriptor control systems

• Date: 2020
• Main Authors: Mazko, A. G., Мазко, Алексей, Мазко, О. Г.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2020
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2389
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.925.51; 681.5.03 For a class of linear descriptor systems, we establish new criteria for existence of control laws that provide the asymptotic stability and a prescribed estimate for the weighted damping level of bounded disturbances. We suggest a method of generalized $H_{\infty}$-optimizat...