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Abstract <p>The authors study the problem of high-speed performance with a phase constraint. The behavior of the object is described by a system of linear differential equations of the second order. The matrix of coefficients at the phase variables has different positive eigenvalues. The phase constraint is linear. The admissible control is a piecewise continuous function that takes values from a given compact. Controllability sets at the origin are constructed for time intervals of different lengths. The dependence of the solution of the problem on the parameter determining the phase constraint is studied.</p>

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Constructing a Controllability Set for a Second-Order System with Different Positive Eigenvalues When Using a Phase Constraint

  • 期刊论文

  • 发表日期：

    2025年6月16日

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  • M. N. Goncharova,
  • S. P. Samsonov

摘要

Abstract

The authors study the problem of high-speed performance with a phase constraint. The behavior of the object is described by a system of linear differential equations of the second order. The matrix of coefficients at the phase variables has different positive eigenvalues. The phase constraint is linear. The admissible control is a piecewise continuous function that takes values from a given compact. Controllability sets at the origin are constructed for time intervals of different lengths. The dependence of the solution of the problem on the parameter determining the phase constraint is studied.