On modeling root-locust behavior

Ciann Dong Yang, Fang Bo Yeh

Research output: Contribution to journalConference articlepeer-review

3 Citations (Scopus)


The purpose of this paper is to establish a mathematical model precisely describing the force interaction within root loci. The concept of generalized root loci is introduced, and its relation with potential flows, such as streamline in fluids and current in electric fields, is revealed. With the help of complex variable theory, we derive formula to compute the force applied on root loci and to predict the quantitative variation of applied force when adding a pole or a zero to a root locus or removing from it. Root sensitivity and root robustness can also be quantitatively measured by using this mathematic model for root loci.

Original languageEnglish
Pages (from-to)2151-2156
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
Publication statusPublished - 1994 Dec 1
EventProceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl
Duration: 1995 Mar 271995 Mar 29

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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