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Université
de Fribourg, Suisse
Faculté des sciences et de médecine Département de mathématiques |
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Geometric control theory SP 2016
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| Patrick Ghanaat |
MA.3115
MA.4115 |
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Course content
Control theory, developed since the 1950s, is a natural extension of the classical calculus of variations. Its goal is to answer the question whether a “system” governed by differential equations can be moved from one given state to another by adjusting suitable control parameters, and how this can be achieved in an optimal way. Topics: Introduction and examples, controllability for linear systems, functional analysis and the bang-bang-principle, time optimal control for linear systems, Pontryagin's maximum principle, dynamic programming, Hamilton-Jacobi-Bellman equation, existence of optimal controls, Filippov's theorem Exam preparation
Contents and sample questions References
Lawrence C. Evans, An Introduction to Mathematical Optimal Control Theory Wendell H. Fleming, Raymond W. Rishel, Deterministic and stochastic optimal control Jack Macki, Aaron Strauss, Introduction to optimal control theory Andrei Agrachev, Yuri Sachkov, Control theory from the geometric viewpoint E. B. Lee, L. Markus, Foundations of optimal control theory L. C. Young, Calculus of variations and optimal control theory |
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