On Controllability and Normalizability for Linear Descriptor Systems

Vikas Kumar Mishra, Nutan Kumar Tomar, Mahendra Kumar Gupta

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Complete and strong controllability properties for linear descriptor systems are studied. We show that complete and strong controllability for a descriptor system is equivalent to the controllability for some suitably designed normal systems under natural assumptions. The normal systems are obtained by a numerically stable algorithm which is solely based on singular value decomposition of system matrices. The developed technique has also been exploited in designing some appropriate feedbacks such that the closed loop system becomes normal and asymptotically stable in square case and nonsingular in rectangular case. The presented theory is applied to some real-life problems for the illustration.

Original languageEnglish
Pages (from-to)19-28
Number of pages10
JournalJournal of Control, Automation and Electrical Systems
Issue number1
StatePublished - 1 Feb 2016
Externally publishedYes


  • Controllability
  • Descriptor systems
  • Feedback control design
  • Singular value decomposition

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Energy Engineering and Power Technology
  • Computer Science Applications
  • Electrical and Electronic Engineering


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