Algebraic And Differential Topology Of Robust Stability

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Algebraic And Differential Topology Of Robust Stability

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Author : Edmond A. Jonckheere
language : en
Publisher: Oxford University Press
Release Date : 1997-05-29

Algebraic And Differential Topology Of Robust Stability written by Edmond A. Jonckheere and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-29 with Mathematics categories.

In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together. The book develops algebraic/differential topology from an application-oriented point of view. The book takes the reader on a path starting from a well-motivated robust stability problem, showing the relevance of the simplicial approximation theorem and how it can be efficiently implemented using computational geometry. The simplicial approximation theorem serves as a primer to more serious topological issues such as the obstruction to extending the Nyquist map, K-theory of robust stabilization, and eventually the differential topology of the Nyquist map, culminating in the explanation of the lack of continuity of the stability margin relative to rounding errors. The book is suitable for graduate students in engineering and/or applied mathematics, academic researchers and governmental laboratories.

Topological Obstructions To Stability And Stabilization

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Author : Wouter Jongeneel
language : en
Publisher: Springer Nature
Release Date : 2023-05-16

Topological Obstructions To Stability And Stabilization written by Wouter Jongeneel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-16 with Technology & Engineering categories.

This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on manifolds and an overview that is self-contained and accessible to the control-oriented graduate student. The authors review the interplay between the topology of an attractor, its domain of attraction, and the underlying manifold that is supposed to contain these sets. They present some proofs of known results in order to highlight assumptions and to develop extensions, and they provide new results showcasing the most effective methods to cope with these obstructions to stability and stabilization. Moreover, the book shows how Borsuk’s retraction theory and the index-theoretic methodology of Krasnosel’skii and Zabreiko underlie a large fraction of currently known results. This point of view reveals important open problems, and for that reason, this book is of interest to any researcher in control, dynamical systems, topology, or related fields.

Applied Mechanics Reviews

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Author :
language : en
Publisher:
Release Date : 1992

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mechanics, Applied categories.

Stability Of Time Delay Systems

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Author : Keqin Gu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Stability Of Time Delay Systems written by Keqin Gu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

This monograph is a self-contained, coherent presentation of the background and progress of the stability of time-delay systems. Focusing on techniques, tools, and advances in numerical methods and optimization algorithms, the authors developed material which, up until now, has been scattered in technical journals and conference proceedings. Special emphasis is placed on systems with uncertainty and stability criteria which can be computationally implemented. The second edition is major update to reflect the state of art in this field greatly expanding on the original material in addition to two new chapters on Systems of Neutral Type and an Introduction to Frequency Domain Method. Requiring only basic knowledge of linear systems and Lyapunov stability theory, Stability of Time-Delay Systems, 2nd ed is accessible to a broad audience of researchers, professional engineers, and graduate students. It may be used for self-study or as a reference; portions of the text may be used in advanced graduate courses and seminars.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2004

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

Proceedings Of The American Control Conference

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Author :
language : en
Publisher:
Release Date : 1998

Proceedings Of The American Control Conference written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Automatic control categories.

Proceedings

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Author :
language : en
Publisher:
Release Date : 1999

Proceedings written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Electric circuits categories.

Stability Regions Of Nonlinear Dynamical Systems

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Author : Hsiao-Dong Chiang
language : en
Publisher: Cambridge University Press
Release Date : 2015-08-13

Stability Regions Of Nonlinear Dynamical Systems written by Hsiao-Dong Chiang and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-13 with Mathematics categories.

An authoritative treatment by leading researchers covering theory and optimal estimation, along with practical applications.

Siam Journal On Control And Optimization

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Author : Society for Industrial and Applied Mathematics
language : en
Publisher:
Release Date : 2009

Siam Journal On Control And Optimization written by Society for Industrial and Applied Mathematics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Control theory categories.

The British National Bibliography

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Author : Arthur James Wells
language : en
Publisher:
Release Date : 2000

The British National Bibliography written by Arthur James Wells and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with English literature categories.