Dwell time-based stabilisation of switched delay systems using free-weighting matrices

Ahmet Taha Koru, Akın Delibaşı, Hitay Özbay

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In this paper, we present a quasi-convex optimisation method to minimise an upper bound of the dwell time for stability of switched delay systems. Piecewise Lyapunov–Krasovskii functionals are introduced and the upper bound for the derivative of Lyapunov functionals is estimated by free-weighting matrices method to investigate non-switching stability of each candidate subsystems. Then, a sufficient condition for the dwell time is derived to guarantee the asymptotic stability of the switched delay system. Once these conditions are represented by a set of linear matrix inequalities, dwell time optimisation problem can be formulated as a standard quasi-convex optimisation problem. Numerical examples are given to illustrate the improvements over previously obtained dwell time bounds. Using the results obtained in the stability case, we present a nonlinear minimisation algorithm to synthesise the dwell time minimiser controllers. The algorithm solves the problem with successive linearisation of nonlinear conditions.

Original languageEnglish
Pages (from-to)1-11
Number of pages11
JournalInternational Journal of Control
Issue number1
Early online date20 Jan 2017
Publication statusPublished - 2 Jan 2018
Externally publishedYes


  • dwell time optimisation
  • free-weighting matrices
  • switched delay systems
  • Time-delay

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications


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