D. I. Bugrov, A. M. Formal'sky, “Change of the attainability set after transition to a reduced system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, Number 2,Pages <nobr>58

Short notes

Change of the attainability set after transition to a reduced system

D. I. Bugrov^a, A. M. Formal'sky^b

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Lomonosov Moscow State University, Institute of Mechanics

Abstract: The problem of changing the attainability region after the transition to a reduced system with decreasing order is considered, taking into account one linear completely controllable stationary system. The source system is a triple integrator. New system — a double integrator — with control in a set of piecewise continuous bounded functions is a result of the reduction of the problem. A comparison is made between the attainability region of the reduced system and the projection of the attainability region of the original system onto the coordinate plane of the reduced system.

Key words: attainability set, linear time-invariant system, bounded impulse, reduction, triple integrator.

UDC: 517.977

Received: 20.03.2019