This article is cited in 7 papers

Estimates of reachable sets for linear systems

V. A. Komarov


Abstract: Lower and upper estimates are obtained for the reachable set of a nonautonomous control system. Ellipsoidal estimates of the reachable set are used for an upper estimate of the duration of a time optimal move from an arbitrary fixed set $M_0$ to a given set $M_1$ and for the construction of a control carrying $M_0$ to $M_1$ in the estimated time span.
Bibliography: 10 titles.

UDC: 517.94

MSC: Primary 49E15; Secondary 93B05, 34H05

 English version: Mathematics of the USSR-Izvestiya, 1985, 25:1, 193–206

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