Nonlinear and Optimal Control Theory Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004 /

• Main Authors: Agrachev, Andrei A. (Author), Morse, A. Stephen (Author), Sontag, Eduardo D. (Author), Sussmann, Héctor J. (Author), Utkin, Vadim I. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Nistri, Paolo (Editor), Stefani, Gianna (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1932
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; System theory.; Differential geometry.; Calculus of variations.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.; Differential Geometry.; Dynamical Systems and Ergodic Theory.

The lectures gathered in this volume present some of the different aspects of Mathematical Control Theory. Adopting the point of view of Geometric Control Theory and of Nonlinear Control Theory, the lectures focus on some aspects of the Optimization and Control of nonlinear, not necessarily smooth,...

Table of Contents:

• 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.