Search academic texts

Information × 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 popup.description1 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. popup.nrat_date 2024-12-10 Close