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Dependence of the size of attainability domain on parameters in a second order linear system

A. S. Klyuev

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The oscillating linear time-invariant system of second order with time-varying bounded control is considered. The reachable set size is studied with respect to bounded parameters of the system. The reachable set size is characterized by a distance from the origin to the most or least distant set point in the Euclidean norm. For one case study, the set size was found to be monotonous with respect to all parameters of the system.

Key words: reachable set, linear time-invariant system.

UDC: 531.396

Received: 18.12.2023

DOI: 10.55959/MSU0579-9368-1-65-5-10

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2025, 79:5, 172–177

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