75 citations · 392 across the 41 of their papers we have counts for
49 papers
Second order optimality conditions for piecewise regular extremals in Optimal Control
Andrei A. Agrachev, Michele Motta
We study second-order optimality conditions for optimal control problems with integral cost. We consider extremals obtained by concatenating finitely many regular arcs and prove bo…
Singular extremals of optimal control problems with cost
Andrei Agrachev, Ivan Beschastnyi, Michele Motta
We study the optimal control problem for a control-affine system, where we want to minimize the norm of the control. First, we show how Pontryagin Maximum Principle (PMP) app…
Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach
Andrei A. Agrachev, Stefano Baranzini, Eugenio Bellini +1
Through the use of sub-Riemannian metrics we provide quantitative estimates for the maximal tight neighbourhood of a Reeb orbit on a three-dimensional contact manifold. Under appro…
Optimal Control for Linear Systems with L1-norm cost
Andrei Agrachev, Bettina Kazandjian
We study L 1 -optimal stabilization of linear systems with finite and infinite horizons. Main results concern the existence, uniqueness and structure of optimal solutions, and the…
Lyapunov Exponents of Linear Switched Systems
Andrei A. Agrachev, Michele Motta
We explicitly compute the maximal Lyapunov exponent for a switched system on . This computation is reduced to the characterization of optimal trajectories…
"Good Lie Brackets" for Control Affine Systems
Andrei Agrachev
We consider a smooth system of the form , and study controllability issues on the group of diffeomorphisms…