A less conservative robust stability test for linear uncertain time-delay systems

作者：Lin C^*; Wang QG; Lee TH

来源：IEEE Transactions on Automatic Control, 2006, 51(1): 87-91.

DOI：10.1109/TAC.2005.861720

• linear systems
• robust stability
• time-delay
• uncertainty

This note concerns with the robust stability of linear uncertain systems with state-delay. The uncertainty is assumed to be of polytopic type. A less conservative delay-dependent linear matrix inequality (LMI) method is presented based on a new Lyapunov-Krasovskii functional. The present method incorporates a relaxed parameter-dependent technique combined with a recently proposed idea of introducing free-weighting matrices. When confined to delay-free case, the present result is also less conservative than existing stability tests using parameter-dependent methods. Numerical examples are given to show the less conservativeness of the results.

• 出版日期2006-1