Set-theoretic methods in control
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical technique…
Read More ↓Title Statements
- Full title :Set-theoretic methods in control / Franco Blanchini, Stefano Miani.
Summary
The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint. This approach is linked to fundamental control problems, such as Lyapunov stability analysis and stabilization, optimal control, control under constraints, persistent disturbance rejection, and uncertain systems analysis and synthesis. Completely self-contained, this book provides a solid foundation of mathematical techniques and applications, extensive references to the relevant literature, and numerous avenues for further theoretical study. All the material from the first edition has been updated to reflect the most recent developments in the field, and a new chapter on switching systems has been added. Each chapter contains examples, case studies, and exercises to allow for a better understanding of theoretical concepts by practical application. The mathematical language is kept to the minimum level necessary for the adequate formulation and statement of the main concepts, yet allowing for a detailed exposition of the numerical algorithms for the solution of the proposed problems. Set-Theoretic Methods in Control will appeal to both researchers and practitioners in control engineering and applied mathematics. It is also well-suited as a textbook for graduate students in these areas.
Read More ↓Edition Statements
- Publication Date:©2015
- Edition:Second edition
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Cham
- Language:eng
- Publication Date:©2015
The Physical Object
- Description:xvi, 630 pages : : illustrations (some color) ; : 24 cm.
Edition Identifiers
- ISBN:9783319179322, 3319179322
- oclc:ocn914572934
- LC Classification:QA248
- Dewey Decimal:629.8312
Table of Contents
Preface -- Introduction -- Lyapunov and Lyapunov-like Function -- Convex Sets and Their Representation -- Invariant Sets -- Dynamic Programming -- Set-Theoretic Analysis of Dynamic Systems -- Control of Parameter-Varying Systems -- Control with Time-Domain Constraints -- Switching and Switched Systems -- (Sub-)Optimal Control -- Set-Theoretic Estimation -- Related Topics -- Appendix -- References -- Index.
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