A mass-dashpot-spring system with proportional damping is considered in this paper. On the basis of an appropriate nonlinear mapping and the root-locus technique, the interlacing property of transmission zeros and poles is investigated if the columns of the input matrix are in the column space generated by the transpose of the output matrix. It is verified that transmission zeros interlace with poles on a specific circle and the nonpositive real axis segments for a proportional damping system. Finally, three examples are given to illustrate the property.

Issue Section:
Technical Briefs
Keywords:
damping, root loci, poles and zeros, MIMO systems, Mass-Dashpot-Spring System, Interlacing Property, Transmission Zero, Proportional Damping System
Topics:
Damping, Poles (Building), Shock absorbers, Springs, Theorems (Mathematics)
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