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Nonlinear and Optimal Control Theory : Lectures Given at the C.I.M.E. Summer ...
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Item specifics
- Condition
- Book Title
- Nonlinear and Optimal Control Theory : Lectures Given at the C.I.
- ISBN
- 9783540776444
- Subject Area
- Science, Mathematics
- Publication Name
- Nonlinear and Optimal Control Theory : Cetraro, Italy 2004
- Item Length
- 9.3 in
- Publisher
- Springer Berlin / Heidelberg
- Subject
- Geometry / Differential, Mechanics / Dynamics, System Theory, Optimization
- Publication Year
- 2008
- Series
- Lecture Notes in Mathematics Ser.
- Type
- Textbook
- Format
- Trade Paperback
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 20.3 Oz
- Number of Pages
- Xiv, 360 Pages
About this product
Product Information
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 Berlin / Heidelberg
ISBN-10
3540776443
ISBN-13
9783540776444
eBay Product ID (ePID)
65949962
Product Key Features
Publication Name
Nonlinear and Optimal Control Theory : Cetraro, Italy 2004
Format
Trade Paperback
Language
English
Subject
Geometry / Differential, Mechanics / Dynamics, System Theory, Optimization
Publication Year
2008
Series
Lecture Notes in Mathematics Ser.
Type
Textbook
Subject Area
Science, Mathematics
Number of Pages
Xiv, 360 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
20.3 Oz
Additional Product Features
LCCN
2007-943246
Intended Audience
Scholarly & Professional
Series Volume Number
1932
Number of Volumes
1 Vol.
Lc Classification Number
Q295
Table of Content
Geometry of Optimal Control Problems and Hamiltonian Systems.- Lecture Notes on Logically Switched Dynamical Systems.- Input to State Stability: Basic Concepts and Results.- Generalized Differentials, Variational Generators, and the Maximum Principle with State Constraints.- Sliding Mode Control: Mathematical Tools, Design and Applications.
Copyright Date
2008
Illustrated
Yes
Item description from the seller
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