A Lyapunov-based approach to stability of descriptor systems with delay

E. M. Fridman*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

37 Scopus citations


The Lyapunov second method is developed for linear coupled system of delay differential and functional equations. By conventional approaches such equations may be reduced to the neutral systems and the known results for the latter may be exploited. In the present paper we introduce a new approach by constructing Lyapunov-Krasovskii functional that corresponds directly to the descriptor form of the system. Moreover, by representing a neutral system in the descriptor form we obtain new stability criteria for neutral systems which lead to less conservative than the existing results. Sufficient conditions for delay-dependent stability are given in terms of linear matrix inequalitics. Illustrative examples show the effectiveness of the method.

Original languageEnglish
Pages (from-to)2850-2855
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 2001
Event40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States
Duration: 4 Dec 20017 Dec 2001


  • Delay-dependent/delay-independent criteria
  • Descriptor systems
  • Linear matrix inequalities
  • Stability
  • Time-delay systems


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