Goncharova M.N.

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

Yanka Kupala Grodno State University

E-mail: m.gonchar@grsu.by

Publications

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
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