Overview
- Describes a new mathematical tool named differential linear matrix inequality (DLMI) and its applications
- Presents and discusses a numerical determination of a solution whenever it exists
- Includes coverage of Control and filtering design problems involving sampled-data systems
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About this book
Special attention is given to filter, dynamic output feedback and model predictive control design, as well as nonlinear systems of Lur’e class and Markov jump linear systems.
The subject is treated with mathematical rigor, at the same time, trying to keep the reading agreeable and fruitful for colleagues and students. To this respect, the book contains together with the theoretical developments, many solved illustrative examples and the formulation of some open problems that could be faced and hopefully solved by interested readers.
Keywords
Table of contents (9 chapters)
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Front Matter
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Back Matter
Reviews
“The subject of the book is well expressed by its title. The book is very organized. Each chapter begins by an introductory section and ends by a section of bibliography notes. The book offers both mathematical rigor and attractiveness for the reader … .” (Henri Bourlès, zbMATH 1529.93001, 2024)
Authors and Affiliations
About the author
In 1999, he was named Chevalier dans l’ Ordre des Palmes Acad´emiques by the French Minister of National Education. In 2010, he received the Docteur Honoris Causa degree from University Paul Sabatier, Toulouse, France and was named a member of the Brazilian Order of Scientific Merit by the President of the Federative Republic of Brazil. In 2011, he was named Distinguished Lecturer by the IEEE Control Systems Society. In 2018, he was promoted to Gr˜a-Cruz of the Brazilian Order of Scientific Merit.
He is co-author of the books Control Theory and Design - with P. Colaneri and A. Locatelli, Academic Press, 1997, An´alise Linear de Sistemas Dinˆamicos, (in Portuguese), - with A. G. B. Palhares, Edgard Blucher, 2004, Controle Linear de Sistemas Dinˆamicos, (in Portuguese), - with R. H. Korogui, Edgard Blucher, 2011, and An´alise Linear de Sinais, (in Portuguese), - with G. S. Deaecto, Edgard Blucher, 2019.
His research papers and books have received so far 15, 526 citations (h = 59) in Google Scholar and 8, 722 citations (h = 46) in Web of Science platforms.
Bibliographic Information
Book Title: Differential Linear Matrix Inequalities
Book Subtitle: In Sampled-Data Systems Filtering and Control
Authors: José C. Geromel
DOI: https://doi.org/10.1007/978-3-031-29754-0
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-29753-3Published: 22 June 2023
Softcover ISBN: 978-3-031-29756-4Published: 22 June 2024
eBook ISBN: 978-3-031-29754-0Published: 21 June 2023
Edition Number: 1
Number of Pages: XIII, 254
Number of Illustrations: 1 b/w illustrations, 33 illustrations in colour
Topics: Engineering Mathematics, Control and Systems Theory, Mechatronics