A delay decomposition approach to delay-dependent stability for linear systems with time-varying delays

作者：Zhang, Xian Ming; Han, Qing Long^*

来源：International Journal of Robust and Nonlinear Control, 2009, 19(17): 1922-1930.

DOI：10.1002/rnc.1413

• linear systems
• time-delay
• stability
• Lyapunov-Krasvskii functional
• linear matrix inequality (LMI)
• linear delay systems

This paper is concerned with delay-dependent stability for linear systems with time-varying delays. By decomposing the delay interval into multiple equidistant subintervals, on which different Lyapunov functionals are chosen, and new Lyapunov-Krasvskii functionals are then constructed. Employing these new Lyapunov-Krasvskii functionals, some new delay-dependent stability criteria are established. The numerical examples show that the obtained results are less conservative than some existing ones in the literature.

• 出版日期2009-11-25
• 单位中南大学