An application of Razumikhin theorem to exponential stability for linear non-autonomous systems with time-varying delay

作者：Phat Vu N^*; Hien Le V

来源：Applied Mathematics Letters, 2009, 22(9): 1412-1417.

DOI：10.1016/j.aml.2009.01.053

• Linear time-varying system
• Exponential stability
• Time-varying delay
• Razumikhin theorem
• Riccati equation

In this work. in the light of the Razumikhin stability theorem combined with the Newton-Leibniz formula, a new delay-dependent exponential stability condition is first derived for linear non-autonomous time delay systems without using model transformation and bounding techniques on the derivative of the time-varying delay function. The condition is presented in terms of the solution of Riccati differential equations.

• 出版日期2009-9