Samsonov S.P.

Associate Professor
Cand. Sci. (Phys.-Math.)

Lomonosov Moscow State University (MSU)

E-mail: samsonov@cs.msu.su

About author Publications

Associate Professor, Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University

Construction of the controllability set for one second-order system with a state constraint
Moscow University Journal. Series 15. Computational Mathematics and Cybernetics 2023. № 2. p. 5-11

Samsonov S.P., Goncharova M.N.

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18
- The time optimal control problem with a state constraint investigates in the article. The object’s behavior is described by a system of second-order differential equations. The coefficient matrix for state variables has zero eigenvalues. The state constraint is linear. An admissible control is a piecewise continuous function that takes values from a given compact set. Sets of controllability to the origin are constructed for time intervals of various lengths.
  
  Keywords: time optimal control, state constraint, linear system, controllability set
Сonstructing of attainability domains for a class of nonsmooth control systems on the plane
Moscow University Journal. Series 15. Computational Mathematics and Cybernetics 2024. № 2. p. 6-17

Aseev A. S., Samsonov S.P.

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16
- A method for approximate construction of the boundary of attainability domain is developed for a class of nonsmooth controlled dynamical systems on the plane that arise in economics. The method is based on an explicit procedure for smoothing the system and using the apparatus of the Pontryagin maximum principle. As an example, we consider the problem of constructing the boundary of the attainability domain for a controlled version of the well-known Kaldor’s model of business cycle.
  
  Keywords: control system, attainability domain, Pontryagin’s maximum principle, numerical methods, Kaldor’s model of business cycle
Construction of the controllability set for one second-order system with different positive eigenvalues and with a state constraint
Moscow University Journal. Series 15. Computational Mathematics and Cybernetics 2025. № 2. p. 15-29

Goncharova M.N., Samsonov S.P.

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18
- Time optimal control problem with state constraint investigated in this article. The behavior of an object is described by a system of second-order linear differential equations. The coefficient matrix for state variables has various positive eigenvalues. The state constraint is linear. A admissible control is a piecewise continuous function that takes values from a given compact set. Sets of controllability to the origin are constructed for time intervals of various lengths. A study of the dependence of the solution of the problem on the parameter determining the state constraint was carried out.
  
  Keywords: time optimal control, state constraint, linear system, controllability set