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math.OC2015★ 10 cited
A contact covariant approach to optimal control with applications to sub-Riemannian geometry
Michał Jóźwikowski, Witold Respondek
We discuss contact geometry naturally related with optimal control problems (and Pontryagin Maximum Principle). We explore and expand the observations of [Ohsawa, 2015], providing…
math.OC2011★ 3 cited
Optimal Control Theory on almost-Lie Algebroids
Michal Jozwikowski
We extend the Pontryagin Maximum Principle (PMP) to the geometric setting of almost-Lie (AL) algebroids -- objects which generalize Lie algebroids. The result may be understood as…
math.OC2009★ 4 cited
Pontryagin Maximum Principle - a generalization
Janusz Grabowski, Michal Jozwikowski
The fundamental theorem of the theory of optimal control, the Pontryagin maximum principle (PMP), is extended to the setting of almost Lie (AL) algebroids, geometrical objects gene…