# Article

 Title: Sum-of-squares based observer design for polynomial systems with a known fixed time delay (English) Author: Rehák, Branislav Language: English Journal: Kybernetika ISSN: 0023-5954 (print) ISSN: 1805-949X (online) Volume: 51 Issue: 5 Year: 2015 Pages: 856-873 Summary lang: English . Category: math . Summary: An observer for a system with polynomial nonlinearities is designed. The system is assumed to exhibit a time delay whose value is supposed to be constant and known. The design is carried out using the sum-of-squares method. The key point is defining a suitable Lyapunov-Krasovskii functional. The resulting observer is in form of a polynomial in the observable variables. The results are illustrated by two examples. (English) Keyword: sum-of-squares polynomial Keyword: observer Keyword: polynomial system MSC: 93B51 idZBL: Zbl 06537784 idMR: MR3445988 DOI: 10.14736/kyb-2015-5-0856 . 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