On Lyapunov theorems for descriptor systems

Guofeng Zhang, Qingling Zhang, Tongwen Chen, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

10 Citations (Scopus)


In this paper, based on the definition of pseudo-observability for a descriptor system, the relationship between observability and admissibility is established by means of a generalized Lyapunov equation. The H2 norm of the system is computed using this Lyapunov equation. A static output feedback is designed which guarantees the admissibility of the resulting closed-loop system. Two examples are given to illustrate the main results in this paper.
Original languageEnglish
Pages (from-to)709-725
Number of pages17
JournalDynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Issue number5
Publication statusPublished - 1 Oct 2003
Externally publishedYes


  • Admissibility
  • Descriptor systems
  • Lyapunov equations
  • Pseudo-controllability
  • Pseudo-observability

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics


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