Novel delay-derivative-dependent stability criteria using new bounding techniques

作者：Zhang Xian Ming; Han Qing Long^*

来源：International Journal of Robust and Nonlinear Control, 2013, 23(13): 1419-1432.

DOI：10.1002/rnc.2829

• stability
• interval time-varying delay
• delay-derivative-dependent stability
• bounding technique
• integral inequality

This paper studies the stability of linear systems with interval time-varying delays. By constructing a new Lyapunov-Krasovskii functional, two delay-derivative-dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov-Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time-varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time-varying delay than the second stability criterion.

• 出版日期2013-9-10