Alternate checking criteria for reachable controllability of rectangular descriptor systems

Vikas Kumar Mishra, Nutan Kumar Tomar

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Contrary to state space systems, there are different notions of controllability for linear time invariant descriptor systems due to the non smooth inputs and inconsistent initial conditions. A comprehensive study of different notions of controllability for linear descriptor systems is performed. Also, it is proved that reachable controllability for general linear time invariant descriptor system is equivalent to the controllability of some matrix pair under an assumption milder than impulse controllability. The whole theory has been developed by coining two new decompositions for system matrices. Examples are given to illustrate the presented theory.

Original languageEnglish
Pages (from-to)820-837
Number of pages18
JournalKybernetika
Volume53
Issue number5
DOIs
StatePublished - 1 Jan 2017

Keywords

  • Controllability
  • Descriptor systems
  • Reachable controllability

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Information Systems
  • Artificial Intelligence
  • Electrical and Electronic Engineering

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