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Registration Number

0120U100177, ( 0221U100555  0221U106813  ) R & D request

Title

Analytical methods for studying control problems of multi-scale mechatronic systems

Head

Yevhenieva Yevheniia O., Кандидат фізико-математичних наук

Registration Date

28-01-2020

Organization

Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine

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The main goal of this research is the development of innovative constructive approaches for solving modern problems of motion control theory, and of generic methods for studying the qualitative properties of trajectories of complex dynamic systems. In the first part of the project, it is planned to develop novel effective control algorithms for the stabilization and dynamic optimization problems for systems with multiscale dynamics. In order to ensure the desired motion properties of the obtained closed-loop systems, it is expected to obtain novel stability conditions and a description of the asymptotic behavior of systems with "slow" and "fast" subsystems, as well as non-autonomous systems. In addition, the robustness of the obtained controls will be investigated. Moreover, it is intended to study qualitative properties of solutions to a class of dynamical systems described by partial differential equations, namely, quasilinear parabolic equations and high-order equations with singular boundary data.

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2024-12-10