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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-ph2011
Generalized Livens theorem and constrained Hamiltonian dynamics on algebroids
Michal Jozwikowski
We generalise Livens theorem, showing that Hamiltonian equation on the vector bundle , dual to a general algebroid , can be derived by means of…