Drazin inverse conditions for stability of positive singular systems

Xiuyong Ding, Guisheng Zhai

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, positive singular systems in both continuous and discrete cases are addressed, and a complete characterization for stability is provided. First, it is shown that positive singular systems can be stable for a non-negative initial condition. The presented stability criteria are necessary and sufficient, and can be checked by means of linear matrix inequality (LMI) or linear programming (LP). Further, we generalize the Lyapunov stability theory for positive singular systems.

Original languageEnglish
Pages (from-to)9853-9870
Number of pages18
JournalJournal of the Franklin Institute
Issue number14
Publication statusPublished - 2020 Sept

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications
  • Applied Mathematics


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