This article is cited in 1 paper

Mathematics

The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems

T. V. Salova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is proved that each linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) stabilizable and destabilizable by infinitesimal Hamiltonian perturbation.

Key words: linear systems, Hamiltonian systems, stabilizability, destabilizability.

UDC: 517.926.4

Received: 03.03.2017

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2017, 72:6, 226–232

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