Analysis and Geometry in Control Theory and its Applications
Language: English
Published by Palgrave Macmillan, 2015
Series: Book 11 of 46 - Springer INdAM
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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nach der Bestellung gedruckt Neuware - Printed after ordering - Since the Fifties of the last Century, Control Theory has established itself as a powerful mathematical discipline, particularly fit for applications in various applied research fields, including advanced engineering design, economics, medical sciences and population biology. However, Control Theory is not only limited to a powerful tool for a growing number of applications. In fact, since the emerging of this discipline, the need of rethinking and extending fields such as Calculus of Variations, Differential Geometry, Non smooth Analysis is permanently parallel to investigations devoted to applications. Nowadays Control Theory qualifies as a rich source of basic abstract problems and at the same time, an important viewpoint to investigate purely mathematical issues. This volume collects some recent results, highlighting geometrical and analytical aspects and the connections between them. Applications are in the background and sometimes explicitly treated, in the classical spirit of an indivisible, mutual, interference occurring between abstraction and problem-solving practice.…
Seller Inventory # 9783319069166
- Title
- Analysis and Geometry in Control Theory and its Applications
- Author
- Monica Motta
- Publisher
- Palgrave Macmillan
- Publication year
- 2015
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3319069160
- ISBN 13
- 9783319069166
- Item weight
- 541 grams
- Dimensions
- 241x160x20 mm
- Series
- Book 11 of 46: Springer INdAM
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.
"Synopsis" may belong to another edition of this title.
From the Back Cover
Since the 1950s control theory has established itself as a major mathematical discipline, particularly suitable for application in a number of research fields, including advanced engineering design, economics and the medical sciences. However, since its emergence, there has been a need to rethink and extend fields such as calculus of variations, differential geometry and nonsmooth analysis, which are closely tied to research on applications. Today control theory is a rich source of basic abstract problems arising from applications, and provides an important frame of reference for investigating purely mathematical issues. In many fields of mathematics, the huge and growing scope of activity has been accompanied by fragmentation into a multitude of narrow specialties. However, outstanding advances are often the result of the quest for unifying themes and a synthesis of different approaches. Control theory and its applications are no exception. Here, the interaction between analysis and geometry has played a crucial role in the evolution of the field. This book collects some recent results, highlighting geometrical and analytical aspects and the possible connections between them. Applications provide the background, in the classical spirit of mutual interplay between abstract theory and problem-solving practice.
"About the title" may belong to another edition of this title.
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