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Analysis and Geometry in Control Theory and its Applications
Springer INdAM Series 11
ISBN/EAN: 9783319069166
Umbreit-Nr.: 6449956
Sprache:
Englisch
Umfang: ix, 235 S., 15 s/w Illustr., 16 farbige Illustr.,
Format in cm:
Einband:
gebundenes Buch
Erschienen am 19.08.2015
Auflage: 1/2015
- Zusatztext
- 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.