Control and State Estimation for Max-Plus Linear Systems

TitreControl and State Estimation for Max-Plus Linear Systems
Type de publicationArticle de revue
AuteurHardouin, Laurent , Cottenceau, Bertrand, Shang, Ying, Raisch, Jörg
EditeurNow Foundations and Trends
TypeArticle scientifique dans une revue à comité de lecture
Date24 Décembre 2018
Titre de la revueFoundations and Trends® in Systems and Control
Résumé en anglais

Book Abstract:
Max-plus linear systems theory was inspired by and originated from classical linear systems theory more than three decades ago, with the purpose of dealing with nonlinear synchronization and delay phenomena in timed discrete event systems in a linear manner. Timed discrete event systems describe many problems in diverse areas such as manufacturing, communication, or transportation networks. This monograph provides a thorough survey of current research work in max-plus linear systems. It summarizes the main mathematical concepts required for a theory of max-plus linear systems, including idempotent semirings, residuation theory, fixed point equations in the max-plus algebra, formal power series, and timed-event graphs. The authors also review some recent major achievements in control and state estimation of max-plus linear systems. These include max-plus observer design, max-plus model matching by output or state feedback and observer-based control synthesis. Control and State Estimation for Max-Plus Linear Systems offers students, practitioners, and researchers an accessible and comprehensive overview of the most important recent work in max-plus Linear Systems.

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Titre abrégéFnT in Systems and Control