Robust stability of uncertain singularly perturbed systems with time-varying delay

@article{Sun2010RobustSO,
  title={Robust stability of uncertain singularly perturbed systems with time-varying delay},
  author={Hong-Chen Sun and Xian-Jie Wang},
  journal={2010 Chinese Control and Decision Conference},
  year={2010},
  pages={189-192}
}
The problem of robust stability for a class of uncertain singularly perturbed systems with time-varying delay is presented. A new delay dependent stability criteria is devised by a method converting the singularly perturbed systems into a descriptor system equivalently. Then a Lyapunov-Krasovskii function is proposed. The delay dependent stability sufficient condition for the descriptor system is obtained with linear matrix inequality method. A numerical example is given to illustrate the… CONTINUE READING