Nonlinear and Optimal Control Theory
Agrachev, Andrei A.
Nonlinear and Optimal Control Theory Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004 / [electronic resource] : by Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Héctor J. Sussmann, Vadim I. Utkin ; edited by Paolo Nistri, Gianna Stefani. - XIV, 360 p. 78 illus. online resource. - C.I.M.E. Foundation Subseries . - C.I.M.E. Foundation Subseries .
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.
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, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.
9783540776536
10.1007/978-3-540-77653-6 doi
Systems theory.
Mathematical optimization.
Global differential geometry.
Differentiable dynamical systems.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Differential Geometry.
Dynamical Systems and Ergodic Theory.
Q295 QA402.3-402.37
519
Nonlinear and Optimal Control Theory Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19–29, 2004 / [electronic resource] : by Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Héctor J. Sussmann, Vadim I. Utkin ; edited by Paolo Nistri, Gianna Stefani. - XIV, 360 p. 78 illus. online resource. - C.I.M.E. Foundation Subseries . - C.I.M.E. Foundation Subseries .
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.
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, dynamical systems. Specifically, three of the five lectures discuss respectively: logic-based switching control, sliding mode control and the input to the state stability paradigm for the control and stability of nonlinear systems. The remaining two lectures are devoted to Optimal Control: one investigates the connections between Optimal Control Theory, Dynamical Systems and Differential Geometry, while the second presents a very general version, in a non-smooth context, of the Pontryagin Maximum Principle. The arguments of the whole volume are self-contained and are directed to everyone working in Control Theory. They offer a sound presentation of the methods employed in the control and optimization of nonlinear dynamical systems.
9783540776536
10.1007/978-3-540-77653-6 doi
Systems theory.
Mathematical optimization.
Global differential geometry.
Differentiable dynamical systems.
Systems Theory, Control.
Calculus of Variations and Optimal Control; Optimization.
Differential Geometry.
Dynamical Systems and Ergodic Theory.
Q295 QA402.3-402.37
519