17 citations · 31 across the 10 of their papers we have counts for
12 papers
Local Projected Controllability of Nonlocal Continuity Equations
Elena Goncharova, Nikolay Pogodaev, Maxim Staritsyn
We formulate and study the problem of local projected controllability (LPC) for characteristic solutions of controlled nonlocal continuity (transport) equations on the space of pro…
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…
On Minimum-Dispersion Control of Nonlinear Diffusion Processes
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +1
This work collects some methodological insights for numerical solution of a "minimum-dispersion" control problem for nonlinear stochastic differential equations, a particular relax…
Optimal control of distributed ensembles with application to Bloch equations
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +1
Motivated by the problem of designing robust composite pulses for Bloch equations in the presence of natural perturbations, we study an abstract optimal ensemble control problem in…
Optimization of external stimuli for populations of theta neurons via mean-field feedback control
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn +2
We study a problem of designing ``robust'' external excitations for control and synchronization of an assembly of homotypic harmonic oscillators representing so-called theta neuron…
Optimal control of nonlocal continuity equations: numerical solution
Roman Chertovskih, Nikolay Pogodaev, Maxim Staritsyn
The paper addresses an optimal ensemble control problem for nonlocal continuity equations on the space of probability measures. We admit the general nonlinear cost functional, and…
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…