Abstract
AbstractA condition of frequency domain type on the vector polynomial G(z) is obtained which is both necessary and sufficient for the Hurwitzian set of G(z) to include the special Hurwitzian set , where E(z) = col (1, z, …, zn). This result is extended to Hurwitzian sets arising from scalar delay-differential equations. Analogous conditions are also given for each of the inclusions where denotes the Schur set of G(z).
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. Some elliptic balls which avoid a Nyquist set in ℂn+1;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;1978