State Observers for Linear Systems with Uncertainty (De Gruyter Expositions in Mathematics Book 51)

This book presents the basic concepts and recent developments of linear control problems with perturbations. The presentation concerns both continuous and discrete dynamical systems. It is self-contained and illustrated by numerous examples. From the contents: Notion of state observers Observability Observers of full-phase vectors for fully determined linear systems Functional observers for fully determined linear systems Asymptotic observers for linear systems with uncertainty Observers for bilinear and discrete systems The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair , Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann , Columbia University, New York, USA Markus J. Pflaum , University of Colorado, Boulder, USA Dierk Schleicher , Aix-Marseille Université, France Katrin Wendland , Trinity College Dublin, Dublin, Ireland Honorary Editor Victor P. Maslov , Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021) "The monograph is devoted to the exposition of methods of synthesizing asymptotic observers for linear and some classes of bilinear dynamical systems under uncertainty. The authors of the book present classical results from the theory of observers, e.g., observability criteria and methods of synthesis of the Luenberger observers for fully determined systems. In addition, the developments in this field over the past 20 years are presented, e.g., methods of synthesis of observers for systems under uncertainty, methods of synthesis of functional observers (including those of minimal order), and canonical forms for observed systems. The results concern both continuous and discrete dynamical systems."--Jacket Presents the basic concepts and developments of linear control problems with perturbations. This work focuses on both continuous and discrete dynamical systems. It is self-contained and illustrated by numerous examples.