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Sponsored Artificial Intelligence: A Modern Approach, Global Edition Artificial Intelligence: A Modern Approach, Global Edition

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M. V. Balashov

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3 papers indexed here

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Open access 2024

Viability of the Solution with a Perturbation and Feedback Control

We consider a dynamic system with a perturbation in the right side. The perturbation is given by some geometrical restriction. We consider the question: find a feedback control that stabilizes a solution of the system required to be viable in a given compact convex subset? We construct minimal, in a certain sense, cont...

M. V. Balashov · 0 citations
Open access

A Note about the Linear Time-Optimal Control Problem

In non-autonomous time-optimal control problems the question of the sufficiency of the maximum principle is considered. We also briefly discuss the question of uniqueness of optimal control. New conditions are obtained that guarantee the sufficiency of the maximum principle in terms of convex analysis, properties of ma...

M. V. Balashov · 0 citations
Open access 2017

About the Gradient Projection Algorithm for a Strongly Convex Function and a Proximally Smooth Set

We consider the gradient projection algorithm for a strongly convex function with the Lipschitz continuous gradient and a proximally smooth (nonconvex in general) set in a real Hilbert space. We prove that the problem of minimization of such function on a proximally smooth set has unique solution if the constant of pro...

M. V. Balashov · 13 citations

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