Title | On control of dynamics of a deformable structural element in supersonic flow |
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Authors | A. V. Gladun^{1}, P. A. Velmisov^{2}^{1}Ulyanovsk Civil Aviation Institute named after Chief Marshal of Aviation B.P. Bugaev ^{2}Ulyanovsk State Technical University |

Annotation | The problem of constructing a stabilizing control in the case of instability of a deformable structural element in supersonic flow is considered. The initial equation, describing the dynamics of the element, is reduced to a system of linear equations with the help of the Galerkin method. The control law that provide asymptotic stability of zero solution for the obtained system is constructed. The results of numerical simulation of the behavior of the deformable structural element under the action of the constructed control with given parameters are presented. |

Keywords | deformable element, supersonic flow, dynamics, controllability, stabilization, partial differential equations, Galerkin method |

Citation | Gladun A. V., Velmisov P. A. ''On control of dynamics of a deformable structural element in supersonic flow'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 16-20, 2018). Saransk: SVMO Publ, 2018. - pp. 142-149. Available at: http://conf.svmo.ru/files/2018/papers/paper44.pdf. - Date of access: 28.10.2020. |

**© SVMO, National Research Mordovia State University, 2020**

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