Delay-dependent stability and α-stability criterions for linear time-delay system

Elbrous M. Jafarov*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Some improved delay-dependent stability conditions for linear time-delay systems are considered by using augmented and special augmented Lyaounov-Krasovskii functionals combined with Leibniz-Newton formula, LMI's techniques and some integral evulating inequalities. The stability results are depend on the size of the delay term and are given in terms of quadratic forms of state and LMI's, which are more informative and accurate. Four simple examples are considered systematically to illustrate and comparision analysis of drived stability conditions. The upper bound of delay term are computed by solving quazi-convex optimization problem. Stabilization by memory less control is considered as five example, Comparision analysis show that drived stability conditions are less conservative than existing.

Original languageEnglish
Title of host publicationRecent Advances in Intelligent Systems and Signal Processing
PublisherWorld Scientific and Engineering Academy and Society
Number of pages10
ISBN (Print)9608052874
Publication statusPublished - 2003


  • Integral evulating
  • Leibniz-Newton formula
  • Linear matrix inequalities LMi's
  • Lyapunov-Krasovskii functional
  • Schur complement
  • Stability and α-stability
  • Time Delay Syste


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