The geometry and number of the root invariant regions for linear systems

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


The stability domain is a feasible set for numerous optimization problems. D-decomposition technique is targeted to describe the stability domain in the parameter space for linear parameter-dependent systems. This technique is very simple and efficient for robust stability analysis and design of low-order controllers. However, the geometry of the arising parameter space decomposition into root invariant regions has not been studied in detail; it is an objective of the present paper. We estimate the number of root invariant regions and provide examples, where this number is attained.

Original languageEnglish
Pages (from-to)1166-1173
Number of pages8
JournalEuropean Journal of Operational Research
Issue number3
Publication statusPublished - 16 Sep 2007
Externally publishedYes


  • Characteristic polynomials
  • Control
  • Linear systems
  • Robustness analysis
  • Stability domain


Dive into the research topics of 'The geometry and number of the root invariant regions for linear systems'. Together they form a unique fingerprint.

Cite this