133 citations · 479 across the 74 of their papers we have counts for
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Analysis of the vanishing discount limit for optimal control problems in continuous and discrete time
Piermarco Cannarsa, Stephane Gaubert, Cristian Mendico +1
A classical problem in ergodic continuous time control consists of studying the limit behavior of the optimal value of a discounted cost functional with infinite horizon as the dis…
Aubry-Mather theory for optimal control systems with nonholonomic constraints
Piermarco Cannarsa, Cristian Mendico
In this work, we extend Aubry-Mather theory to the case of control systems with nonholonomic constraints. In this framework, we consider an optimal control problem where admissible…
Bilinear control of evolution equations with unbounded lower order terms. Application to the Fokker-Planck equation
Fatiha Alabau-Boussouira, Piermarco Cannarsa, Cristina Urbani
We study the exact controllability of the evolution equation \begin{equation*} u'(t)+Au(t)+p(t)Bu(t)=0 \end{equation*} where is a nonnegative self-adjoint operator on a Hilbert…