Set-theoretic methods in control [Documento eletrónico] / Franco Blanchini, Stefano Miani
Language: eng.Country: Switzerland, Swiss Confederation.Publication: Cham : Springer International Publishing, 2015Description: XVI, 630 p. : il.ISBN: 978-3-319-17933-9.Series: Systems & Control : Foundations & ApplicationsSubject - Topical Name: Teoria dos conjuntos | Teoria de controlo | Estabilidade de Lyapunov Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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QA248.SPR FCT 94589 Théorie des ensembles | QA248.SPR FCT 94704 Set theory, Centre de Recerca Matemàtica Barcelona, 2003–2004 | QA248.SPR FCT 94756 Problems and theorems in classical set theory | QA248.SPR FCT 96666 Set-theoretic methods in control | QA248.SPR FCT 98568 Set-theoretic methods in control | QA251 | QA387. FCT 95544 Topological methods in group theory | QA251 | QA387. FCT 95874 Geometry and dynamics of groups and spaces, in memory of Alexander Reznikov |
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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. Praise for the First Edition "This is an excellent book, full of new ideas and collecting a lot of diverse material related to set-theoretic methods. It can be recommended to a wide control community audience." - B. T. Polyak, Mathematical Reviews "This book is an outstanding monograph of a recent research trend in control. It reflects the vast experience of the authors as well as their noticeable contributions to the development of this field...[It] is highly recommended to PhD students and researchers working in control engineering or applied mathematics. The material can also be used for graduate courses in these areas." - Octavian Pastravanu, Zentralblatt MATH.
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