Proof of Simultaneous Conditional Exponential Stabilization and Destabilization of Linear Hamiltonian Systems / T. V. Salova. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 4. P. 65-68 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 168-170].

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.

№ 4/2018