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Ha, T. T.; Gibson, J. A.

A note on the determinant of a functional confluent Vandermonde matrix and controllability. (English) Zbl 0445.15009

Linear Algebra Appl. 30, 69-75 (1980).
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Cited in 12 Documents

MSC:

15A23 Factorization of matrices
15A15 Determinants, permanents, traces, other special matrix functions
93B99 Controllability, observability, and system structure

Keywords:

Vandermonde matrix; controllability
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References:

[1] Aitken, A. C., Determinants and Matrices (1962), Interscience: Interscience New York, §50. · Zbl 0108.01501
[2] Bar-Ness, Y.; Langholz, G., Preservation of controllability under sampling, Internat. J. Control, 22, 39-47 (1975) · Zbl 0317.93018
[3] Carlson, D.; Davis, C., A generalization of Cauchy’s double alternat, Canad. Math. Bull., 7, 273-278 (1964) · Zbl 0156.03502
[4] Kalman, R. E.; Ho, Y. C.; Narendra, K. S., Controllability of linear dynamical systems, Contri. Differential Equations, 1, 189-213 (1961) · Zbl 0151.13303
[5] Mita, T., On the estimating errors and the structures of identity observers and minimal order state observers, Internat. J. Control, 27, 441-454 (1978) · Zbl 0374.93034
[6] Der Poorten, A. J.Van, Some determinants that should be better known, J. Austral. Math. Soc. Ser. A, 21, 278-288 (1976) · Zbl 0343.15002
[7] Venit, S.; Lossers, O. P., A generalization of the Vandermonde determinant, SIAM Rev., 17, 694-695 (1975)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.