4 papers · 1 filter
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…
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…