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math.OC2026
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…
math.OC2025
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…
math.OC2024
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…