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

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.

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Veröffentlicht in:	Moscow University mathematics bulletin 2017-11, Vol.72 (6), p.226-232
1. Verfasser:	Salova, T. V.
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Sprache:	eng
Schlagworte:	Analysis Destabilization Hamiltonian functions Mathematics Mathematics and Statistics
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description	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.
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source	Springer Nature - Complete Springer Journals
subjects	Analysis Destabilization Hamiltonian functions Mathematics Mathematics and Statistics
title	The proof of simultaneous conditional stabilization and destabilization of linear Hamiltonian systems
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