Delay-dependent criteria for absolute stability of uncertain time-delayed Lur'e dynamical systems

作者：Lee S M; Park Ju H^*

来源：Journal of the Franklin Institute, 2010, 347(1): 146-153.

DOI：10.1016/j.jfranklin.2009.08.002

• Delay-dependent criteria
• Time-delayed Lur'e systems
• Sector and slope restrictions
• LMI

This paper deals with the absolute stability analysis for uncertain time-delayed Lur systems with sector and slope restricted nonlinearities. New delay-dependent stability criteria are derived via linear matrix inequality (LMI) formulation that can be easily solved by various convex optimization techniques. Sector bounds and slope bounds are employed to a Lyapunov-Krasovskii functional through convex representation of the nonlinearities so that less conservative stability conditions are obtained. A numerical example shows effectiveness of the proposed stability condition over some existing ones.

• 出版日期2010-2