5 papers
Exact Cost-Increment Formula for Optimal Control of Semilinear Evolution Equations
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +1
We address optimal control of semilinear evolution equations on Banach spaces with finitely many control channels, a framework encompassing a broad class of infinite-dimensional dy…
Indirect methods in optimal control on Banach spaces
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +1
This work focuses on indirect descent methods for optimal control problems governed by nonlinear ordinary differential equations in Banach spaces, viewed as abstract models of dist…
From Few-Shot Optimal Control to Few-Shot Learning
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +1
We present an approach to solving unconstrained nonlinear optimal control problems for a broad class of dynamical systems. This approach involves lifting the nonlinear problem to a…
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…