Description: Nonlinear and Optimal Control Theory : Lectures Given at the . Summer School Held in Cetraro, Italy, June 19-29, 2004, Paperback by Agrachev, Andrei A.; Morse, A. Stephen; Sontag, Eduardo D.; Sussmann, Hector J.; Utkin, Vadim I., ISBN 3540776443, ISBN-13 9783540776444, Like New Used, Free shipping in the US 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.
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Book Title: Nonlinear and Optimal Control Theory : Lectures Given at the C.I.
Number of Pages: Xiv, 360 Pages
Language: English
Publication Name: Nonlinear and Optimal Control Theory : Cetraro, Italy 2004
Publisher: Springer Berlin / Heidelberg
Publication Year: 2008
Subject: Geometry / Differential, Mechanics / Dynamics, System Theory, Optimization
Type: Textbook
Item Weight: 20.3 Oz
Item Length: 9.3 in
Subject Area: Mathematics, Science
Author: Andrei A. Agrachev, Eduardo D. Sontag, A. Stephen Morse, Hector J. Sussmann
Item Width: 6.1 in
Series: Lecture Notes in Mathematics Ser.
Format: Trade Paperback
