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On the spectral representation of solutions for generalized autonomous continuous and discrete linear systems. (Ukrainian)
Visn. L’viv. Univ., Ser. Prykl. Mat. Inform. 2008, No. 14, 17-31 (2008).
Summary: The representation of solutions of generalized autonomous continuous and discrete linear systems in spectral form is under consideration. We assume that the system matrix pencil \$sF-G\$ is regular and \$\det F=0\$. For the exact solution of both problems, the Weierstrass canonical form of the matrix pencil described above is used. The canonical form can be constructed by means of finite and infinite elementary divisors.