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Some Results On The Asymptotic Behavior Of Linear Systems

Published online by Cambridge University Press:  20 November 2018

M. Marcus
M. Marcus*
Affiliation:
University of British Columbia
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1. Introduction. We consider first in §2 the asymptotic behavior as t → ∞ of the solutions of the vector-matrix differential equation

(1.1) ,

where A is a constant n-square complex matrix, B{t) a continuous complex valued n-square matrix defined on [0, ∞ ), and x a complex n-vector.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 7 , 1955 , pp. 531 - 538
Copyright
Copyright © Canadian Mathematical Society 1955

References

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4. Zubov, V. I., Some sufficient criteria for stability of a non-linear system of differential equations, Akad. Nauk. SSSR. Prikl. Mat. Meh. 17 (1953), 506-508; Math. Rev., 15 (1954), 126 Google Scholar