Application of the commutator calculus to the problem of stabilization of pseudo-linear periodic affine systems

• Date: 2020
• Author Affiliations: V.I. Slynko — Institute of Mechanics named after S. P. Timoshenka, NAS of Ukraine; S.V. Kravchuk — Cherkasy National University named after B. Khmelnitsky
• Keywords: keywords
• Main Authors: Slynko, V.I., Kravchuk, S.V., Слинько, В.И., Кравчук, С.В., Слинько, В.І.
• Format: Article
• Language: Russian; English
• Published: Інститут математики НАН України 2020
• Online Access: https://trim.imath.kiev.ua/index.php/trim/article/view/439
• Journal Title: Transactions of Institute of Mathematics of NAS of Ukraine

New conditions for the stabilization of affine periodic systems are established. Applying the commutation calculus and the direct Lyapunov method, we obtain control conditions that ensure the stability of affine periodic system, and we also synthesize the control for stabilizing the lower position o...