On the Root Invariant Regions Structure for Linear Systems

@inproceedings{Gryazina2005OnTR,
  title={On the Root Invariant Regions Structure for Linear Systems},
  author={Elena N. Gryazina and Boris T. Polyak},
  year={2005}
}
D-decomposition technique is targeted to describe the stability domain in parameter space for linear systems, depending on parameters. The technique is very simple and effective for the case of one or two parameters. However the geometry of the arising parameter space decomposition into root invariant regions has not been studied in detail; it is the purpose of the present paper. We prove that the number of stability intervals for one real parameter is no more than n/2 (n being the degree of… CONTINUE READING