Drazin inverse conditions for stability of positive singular systems

Xiuyong Ding, Guisheng Zhai

研究成果: Article

抜粋

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.

元の言語English
ページ(範囲)9853-9870
ページ数18
ジャーナルJournal of the Franklin Institute
357
発行部数14
DOI
出版物ステータスPublished - 2020 9

ASJC Scopus subject areas

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

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