V. N. Ushakov, A. A. Zimovets, “Invariance defect of sets with respect to differential inclusion”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, Issue 2,Pages <nobr>98

This article is cited in 5 papers

MATHEMATICS

Invariance defect of sets with respect to differential inclusion

V. N. Ushakov^a, A. A. Zimovets^b

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
^b Ural Federal University, Ekaterinburg, Russia

Abstract: A differential inclusion generated by a control system on a finite time interval is considered. The invariance of sets with respect to differential inclusion is investigated. The invariance defect of non-invariant sets with respect to differential inclusion is introduced. An example is presented.

Keywords: control system, differential inclusion, Hamiltonian, invariance, invariance defect.

UDC: 517.977.1

MSC: 37C99

Received: 24.05.2011