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<p>For a linear, nonstationary, completely controllable dynamical system with multipoint conditions on the state, we consider a problem on the independence of the state (trajectory) of the system of external perturbations and possible changes in the parameters of the system (internal perturbations). The problem is to construct a control for the perturbed system under which the state of the perturbed system is identical to the state of the unperturbed system. We compare controls for the unperturbed and perturbed systems at the same states of the systems.</p>

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On the Invariance of Trajectories Under Perturbations in Linear Dynamic Control Systems

  • 期刊论文

  • 发表日期：

    2025年2月1日

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  • S. P. Zubova,
  • E. V. Raetskaya,
  • Le Hay Trung

摘要

For a linear, nonstationary, completely controllable dynamical system with multipoint conditions on the state, we consider a problem on the independence of the state (trajectory) of the system of external perturbations and possible changes in the parameters of the system (internal perturbations). The problem is to construct a control for the perturbed system under which the state of the perturbed system is identical to the state of the unperturbed system. We compare controls for the unperturbed and perturbed systems at the same states of the systems.