A necessary and sufficient condition for the stability of interval matrices
- 1 April 1983
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 37 (4) , 717-722
- https://doi.org/10.1080/00207178308933004
Abstract
Consider the linear dynamical system described by the equation [xdot](t) = Ax(t) where A is a constant, real matrix with dimensions n × n, and the elements of matrix A are not known precisely. We know only the upper and lower bounds of the intervals in which the elements of matrix A are confined. In this paper, there is proved a necessary and sufficient condition for the stability of solutions of eqn. (1) with incomplete information about the elements of matrix AKeywords
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