Registration Number
0221U102785,
0116U002033
, R & D reports
Title
Control and analysis of the nonlinear dynamics of vibrational mechanical systems and mass transfer processes
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Head
Zuyev Alexander L, Доктор фізико-математичних наук
Registration Date
10-02-2021
Organization
Institute of Applied Mathematics and Mechanics National Academy of Science of Ukraine
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For a class of nonholonomic mechanical systems with external disturbances, control algorithms that stabilize the motion in a neighborhood of the equilibrium are proposed. New conditions for the asymptotic stability with respect a part of variables of nonlinear systems with random effects are obtained. The asymptotic behavior of trajectories of a hinged elastic beam model with distributed controls and an attached point mass is described. The problem of the occurrence of nonlinear second harmonics of the Love surface waves in a waveguide in the form of an anisotropic crystalline layer is solved. A robust control strategy for tracking the desired trajectory of the Van der Pol oscillator is proposed based on an output feedback law. A scheme for the asymptotic estimation of unknown parameters of a mathematical model of several interconnected Van der Paul oscillators is developed.
Product Description
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Vasylieva Iryna H
Grushkovskaya Victoria V
Zhogoleva Nadiya V
Kalosha Julia I.
Scherbak Volodymyr F
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2021-02-10
