Spectral Assignment for Neutral-Type Systems and Moment Problems

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Spectral Assignment for Neutral-Type Systems and Moment Problems

For a large class of linear neutral-type systems the problem of assigning eigenvalues and eigenvectors is investigated, i.e. finding the system that has the given spectrum and, in some sense, allmost all eigenvectors. The solution of this problem enables vector moment problems to be considered using the construction of a neutral-type system. The exact controllability property of the system obta...

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For a large class of linear neutral type systems the problem of eigenvalues and eigenvectors assignment is investigated, i.e. finding the system which has the given spectrum and almost all, in some sense, eigenvectors.

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Eigenvalues and eigenvectors assignment for neutral type systems

For a class of linear neutral type systems the problem of eigenvalues and eigenvectors assignment is investigated, i.e. finding the system which has the given spectrum and almost all, in some sense, eigenvectors. The result is used for the analysis of the critical number of solvability of a vector moment problem.

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On pole assignment and stabilizability of neutral type systems

1 IRCCyN, École des Mines de Nantes, 4 rue Alfred Kastler, 44307 Nantes, France. [email protected] 2 Institute of Mathematics, University of Szczecin, 70451 Szczecin, Wielkopolska 15, Poland. [email protected] 3 Department of Mechanics and Mathematics, Kharkov University, 4 Svobody sqr., Kharkov, 61077, Ukraine. [email protected] J. J. Loiseau, W. Michiels, S.-I. Niculescu, R. Sipahi...

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ژورنال

عنوان ژورنال: SIAM Journal on Control and Optimization

سال: 2015

ISSN: 0363-0129,1095-7138

DOI: 10.1137/130930340