0000000000211653

AUTHOR

E. D. Akimova

showing 3 related works from this author

Analysis of oscillations in discontinuous Lurie systems via LPRS method

2019

We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods. peerReviewed

harmonic balance methodvärähtelytnumeeriset menetelmätglobal stabilityperiodic oscillations
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Analysis of oscillations in discontinuous Lurie systems via LPRS method

2019

We discuss advantages and limitations of the harmonic balance method and the locus of a perturbed relay system (LPRS) method in the problem of finding periodic oscillations. In this paper we present the results of using harmonic balance method and LPRS method while investigating a 3rd order dynamic system in Lurie form. In this system a symmetric periodic oscillation is found, while other two asymmetric periodic motions are not found using both methods.

PhysicsPeriodic oscillationMaterials Science (miscellaneous)Mathematical analysisPeriodic oscillationsOrder (ring theory)Industrial and Manufacturing EngineeringSystem alaw.inventionHarmonic balanceRelaylawBusiness and International ManagementLocus (mathematics)Vibroengineering PROCEDIA
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On asymmetric periodic solutions in relay feedback systems

2021

Abstract Asymmetric self-excited periodic motions or periodic solutions which are produced by relay feedback systems that have symmetric characteristics are studied in the paper. Two different mechanisms of producing an asymmetric oscillation by a system with symmetric properties are noted and analyzed by the locus of a perturbed relay system (LPRS) method. Bifurcation between the ability to excite symmetric and asymmetric oscillation with variation of system parameters is analyzed. An algorithm of finding asymmetric solutions is proposed.

010302 applied physicsPhysics0209 industrial biotechnologyComputer Networks and CommunicationsApplied MathematicsMathematical analysis02 engineering and technology01 natural scienceslaw.invention020901 industrial engineering & automationControl and Systems EngineeringRelaylaw0103 physical sciencesSignal ProcessingSystem parametersOscillation (cell signaling)Locus (mathematics)BifurcationJournal of the Franklin Institute
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