Overview
The theory of set-valued maps and of differential inclusion is developed in recent years both as a field of his own and as an approach to control theory. The book deals with the theory of semilinear differential inclusions in infinite dimensional spaces. In this setting, problems of interest to applications do not suppose neither convexity of the map or compactness of the multi-operators. These assumption implies the development of the theory of measure of noncompactness and the construction of a degree theory for condensing mapping. Of particular interest is the approach to the case when the linear part is a generator of a condensing, strongly continuous semigroup. In this context, the existence of solutions for the Cauchy and periodic problems are proved as well as the topological properties of the solution sets. Examples of applications to the control of transmission line and to hybrid systems are presented.
Full Product Details
Author: Mikhail I. Kamenskii ,
Valeri V. Obukhovskii ,
Pietro Zecca
Publisher: De Gruyter
Imprint: De Gruyter
Edition: Reprint 2011
Volume: 7
Dimensions:
Width: 17.00cm
, Height: 1.60cm
, Length: 24.00cm
Weight: 0.555kg
ISBN: 9783110169898
ISBN 10: 3110169894
Pages: 242
Publication Date: 15 May 2001
Recommended Age: College Graduate Student
Audience:
Professional and scholarly
,
Professional & Vocational
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Available To Order
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Reviews
On the whole, the authors have done an impressive job in presenting material from at least three different areas on not much more than 200 pages. The style is clear, and the presentation is always reliable, leading the reader from first principles to the present state of the art, including a lot of new results. Mathematical Reviews
On the whole, the authors have done an impressive job in presenting material from at least three different areas on not much more than 200 pages. The style is clear, and the presentation is always reliable, leading the reader from first principles to the present state of the art, including a lot of new results. Mathematical Reviews
"""On the whole, the authors have done an impressive job in presenting material from at least three different areas on not much more than 200 pages. The style is clear, and the presentation is always reliable, leading the reader from first principles to the present state of the art, including a lot of new results."" Mathematical Reviews"
Author Information
Prof. Pietro Zecca, Dipartimento di Energetica, Università degli studi di Firenze, Italy. Prof. Mikhail Kamenskiì, University of Voronezh, Russia and Université de Rouen, France. Valeri Obukhovskiì, Università di Firenze, Italy.
