A regional inverse eigenvalue problem: Solution with application in control theory

Mohamed Shalaby*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.

Original languageEnglish (US)
Pages (from-to)35-41
Number of pages7
JournalIMA Journal of Mathematical Control and Information
Volume11
Issue number1
DOIs
StatePublished - Dec 1 1994

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Control and Optimization
  • Applied Mathematics

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