Short notes

Proof of simultaneous conditional exponential stabilization and destabilization of linear Hamiltonian systems

T. V. Salova

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: It is proved that any linear Hamiltonian system is simultaneously conditionally (with respect to a subspace of half dimension) exponentially stabilizable and destabilizable by uniformly small Hamiltonian perturbations.

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

UDC: 517.926.4

Received: 16.10.2017

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2018, 73:4, 168–170

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