Search Results - "Staritsyn, Maxim"
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On feedback strengthening of the maximum principle for measure differential equations
Published in Journal of global optimization (01-03-2020)“…For a class of nonlinear nonconvex impulsive control problems with states of bounded variation driven by Borel measures, we derive a new type non-local…”
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On “discontinuous” continuity equation and impulsive ensemble control
Published in Systems & control letters (01-08-2018)“…The note is devoted to a class of singular ensemble control problems: we consider the continuity equation driven by a control-affine vector field subject to…”
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Optimal Control of Nonlocal Continuity Equations: Numerical Solution
Published in Applied mathematics & optimization (01-12-2023)“…The paper addresses an optimal ensemble control problem for nonlocal continuity equations on the space of probability measures. We admit the general nonlinear…”
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Numerical Algorithms For State-Linear Optimal Impulsive Control Problems Based On Feedback Necessary Optimality Conditions
Published in Cybernetics and physics (30-11-2020)“…We propose and compare three numeric algorithms for optimal control of state-linear impulsive systems. The algorithms rely on the standard transformation of…”
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Invariant Solutions of Differential Games with Measures: A Discontinuous Time Reparameterization Approach
Published in Journal of optimization theory and applications (01-10-2015)“…The paper is devoted to bilevel qualitative games with impulsive dynamics described by a measure differential equation. We study games with fixed impulses, and…”
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Optimization of Measure-Driven Hybrid Systems
Published in Journal of optimization theory and applications (01-04-2012)“…We study an optimal control problem for a state-dependent impulse system described by a measure differential equation. A specific time reparameterization…”
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Linear-Quadratic Problems of Optimal Control in the Space of Probabilities
Published in IEEE control systems letters (2022)“…We study the problem of designing optimal parameter-invariant control for an ensemble of structurally similar ODEs. The statistical behavior of the ensemble is…”
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Numeric algorithm for optimal impulsive control based on feedback maximum principle
Published in Optimization letters (01-11-2019)“…In this short note, we present an approach for numeric analysis of a class of nonlinear optimal impulsive control problems with states of bounded variation…”
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Feedback Maximum Principle for Ensemble Control of Local Continuity Equations: An Application to Supervised Machine Learning
Published in IEEE control systems letters (2022)“…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…”
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Optimal Impulsive Control Problems Motivated by Mechanical Systems With Vibrations and Blockable DOFs
Published in IEEE control systems letters (01-04-2021)“…We consider singular optimal control problems stated for differential-algebraic measure-driven equations. The latter take the form of complementarity systems,…”
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11
A note on differential-algebraic systems with impulsive and hysteresis phenomena
Published in Cybernetics and physics (30-06-2020)“…n this note, we single out some promising classes of differential-algebraic equations (DAEs) with hysteresis phenomena, and propose their meaningful…”
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Optimal Control of Diffusion Processes: Infinite-Order Variational Analysis and Numerical Solution
Published in IEEE control systems letters (2024)“…We tackle a nonlinear optimal control problem for a stochastic differential equation in Euclidean space and its state-linear counterpart for the…”
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Optimal Control of Distributed Ensembles with Application to Bloch Equations
Published in IEEE control systems letters (01-01-2023)“…Motivated by the problem of designing robust composite pulses for Bloch equations in the presence of natural perturbations, we study an abstract optimal…”
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14
Optimal control of nonlocal continuity equations: numerical solution
Published 13-12-2022“…Appl Math Optim 88, 86 (2023) The paper addresses an optimal ensemble control problem for nonlocal continuity equations on the space of probability measures…”
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Impulsive control of nonlocal transport equations
Published 01-08-2019“…The paper extends an impulsive control-theoretical framework towards dynamic systems in the space of measures. We consider a transport equation describing the…”
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Optimal control of diffusion processes: $\infty$-order variational analysis and numerical solution
Published 04-03-2024“…IEEE Control Systems Letters, vol. 8, pp. 1469-1474, 2024 We tackle a nonlinear optimal control problem for a stochastic differential equation in Euclidean…”
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On Connection between Two Conventional Types of Impulsive Control Systems in Respect of Sensitivity and Relaxation
Published in 2018 European Control Conference (ECC) (01-06-2018)“…In the first part of the paper, we establish a connection between the two mainstream frameworks of impulsive control - systems with explicit jump conditions,…”
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Conference Proceeding -
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Impulsive Control of Systems with Network Structure Describing Spread of Political Influence
Published in Izvestiâ Irkutskogo gosudarstvennogo universiteta. Seriâ "Matematika" (Online) (01-01-2018)“…We study a particular class of singular optimal control problems and corresponding impulsive control problems, which can be interpreted in terms of spread of a…”
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On feedback maximum principle for nonsmooth optimal impulsive control problems
Published in 2017 Constructive Nonsmooth Analysis and Related Topics (dedicated to the memory of V.F. Demyanov) (CNSA) (01-05-2017)“…We study a particular class of nonsmooth rightpoint-constrained optimal control problems being an ordinary-differential equivalent of impulsive control…”
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Conference Proceeding -
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On Minimum-Dispersion Control of Nonlinear Diffusion Processes
Published 13-05-2024“…IEEE Control Systems Letters, vol. 8, pp. 1469-1474, 2024 This work collects some methodological insights for numerical solution of a "minimum-dispersion"…”
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