• time-delay continuous singular systems;
  • delay-dependent stability;
  • delay-partitioning;
  • H control;
  • static output feedback control;
  • LMI;
  • homotopy method


This paper presents a new approach for delay-dependent H stability analysis and control synthesis for singular systems with delay. By constructing an augmented Lyapunov–Krasovskii functional with a triple-integral term, and using the partitioning technique, a bounded real lemma is presented to ensure the singular state-delay system to be regular, impulse free and stable with γ-disturbance rejection. The proposed result leads to significant performance improvement in system analysis and synthesis. Based on the criterion obtained, a homotopy-based iterative LMI algorithm is developed to design a static output feedback controller. The feasibility and the effectiveness of theoretical developments are illustrated through numerical examples.Copyright © 2012 John Wiley & Sons, Ltd.