Abstract
By a linear canonical system we mean a system of linear differential equations of the formwhereJis an invertible skew-Hermitian matrix andH(t) is a continuous Hermitian matrix valued function. We reserve the name Hami1tonia for real canonical systems withwhereIkdenotes thek×kunit matrix. In recent years the stability properties of Hamiltonian systems whose coefficient matrixH(t) is periodic have been deeply investigated, mainly by Russian authors ([2], [3], [5], [7]). An excellent survey of the literature is given in [6]. The purpose of the present paper is to extend this theory to canonical systems. The only work which we know of in this direction is a paper by Yakubovič [9].
Publisher
Cambridge University Press (CUP)
Reference11 articles.
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2. New aspects in the theory of stability of Hamiltonian systems
3. Critical frequencies of quasicanonical systems (Russian);Yakubovič;Vestnik Leningrad Univ.,1958
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