Robust stability of uncertain time-varying state-delayed systems

Alpaslan Parlakci M. -.

American Control Conference 2006, Minnesota, United States Of America, 14 - 16 June 2006, pp.1529-1534 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.1109/acc.2006.1656435
  • City: Minnesota
  • Country: United States Of America
  • Page Numbers: pp.1529-1534


This paper investigates the robust stability for systems with time-varying delay. An improved linear matrix inequality (LMI) based robust delay-dependent stability test is introduced to ensure a larger upper bound for time-varying delays affecting the state vector of an uncertain continuous-time system with norm-bounded type uncertainties. We construct a new class of Lyapunov-Krasovskii functionals combined with the descriptor model transformation to derive some delay-dependent stability criteria. The proposed method gives sufficient conditions for the robust stability of the system with time-varying delay under norm-bounded uncertainty. Numerical examples indicate that the proposed stability criteria effectively improves the existing results.