Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004 by Vadim I. Utkin, A. Stephen Morse, Hector J. Sussmann, Eduardo D. Sontag, Andrei A. Agrachev (Paperback, 2008)
Mathematical Control Theory is a branch of Mathematics having as one of its main aims the establishment of a sound mathematical foundation for the c- trol techniques employed in several di?erent ?elds of applications, including engineering,economy,biologyandsoforth. Thesystemsarisingfromthese- plied Sciences are modeled using di?erent types of mathematical formalism, primarily involving Ordinary Di?erential Equations, or Partial Di?erential Equations or Functional Di?erential Equations. These equations depend on oneormoreparameters thatcanbevaried,andthusconstitute thecontrol - pect of the problem. The parameters are to be chosen soas to obtain a desired behavior for the system. From the many di?erent problems arising in Control Theory, the C. I. M. E. school focused on some aspects of the control and op- mization ofnonlinear, notnecessarilysmooth, dynamical systems. Two points of view were presented: Geometric Control Theory and Nonlinear Control Theory. The C. I. M. E. session was arranged in ?ve six-hours courses delivered by Professors A. A. Agrachev (SISSA-ISAS, Trieste and Steklov Mathematical Institute, Moscow), A. S. Morse (Yale University, USA), E. D. Sontag (Rutgers University, NJ, USA), H. J. Sussmann (Rutgers University, NJ, USA) and V. I. Utkin (Ohio State University Columbus, OH, USA). We now brie?y describe the presentations. Agrachev's contribution began with the investigation of second order - formation in smooth optimal control problems as a means of explaining the variational and dynamical nature of powerful concepts and results such as Jacobi ?elds, Morse's index formula, Levi-Civita connection, Riemannian c- vature.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783540776444
eBay Product ID (ePID)
94892316
Product Key Features
Author
Vadim I. Utkin, A. Stephen Morse, Hector J. Sussmann, Eduardo D. Sontag, Andrei A. Agrachev
Publication Name
Nonlinear and Optimal Control Theory: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-29, 2004
Format
Paperback
Language
English
Subject
Computer Science, Mathematics
Publication Year
2008
Type
Textbook
Number of Pages
360 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Volume
1932
Item Weight
575g
Additional Product Features
Title_Author
Eduardo D. Sontag, Andrei A. Agrachev, Hector J. Sussmann, Vadim I. Utkin, A. Stephen Morse
Series Title
C.I.M.E. Foundation Subseries
Editor
Gianna Stefani, Paolo Nistri
Country/Region of Manufacture
Germany
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