4 papers · 1 filter
Super-duality and necessary optimality conditions of order "infinity" in optimal control theory
Nikolay Pogodaev, Maxim Staritsyn
We systematically introduce an approach to the analysis and (numerical) solution of a broad class of nonlinear unconstrained optimal control problems, involving ordinary and distri…
Optimal Control of Nonlocal Balance Equations
Nikolay Pogodaev, Maxim Staritsyn
The paper presents an approach to studying optimal control problems in the space of nonnegative measures with dynamics given by a nonlocal balance law. This approach relies on tran…
Feedback maximum principle for ensemble control of local continuity equations. An application to supervised machine learning
Maxim Staritsyn, Nikolay Pogodaev, Roman Chertovskih +1
We consider an optimal control problem for a system of local continuity equations on a space of probability measures. Such systems can be viewed as macroscopic models of ensembles…
Impulsive control of nonlocal transport equations
Nikolay Pogodaev, Maxim Staritsyn
The paper extends an impulsive control-theoretical framework towards dynamic systems in the space of measures. We consider a transport equation describing the time-evolution of a c…