|Stability Analysis of Linear Systems with An Interval Time-varying Delay - A Delay-range-partition Approach
Xinghua Zhang, Yantao Wang*, and Xiaofei Fan
International Journal of Control, Automation, and Systems, vol. 15, no. 2, pp.518-526, 2017
Abstract : "In this paper, the stability analysis problem of linear systems with an interval time-varying delay is investigated.
Firstly, an augmented Lyapunov-Krasovskii functional is constructed, which includes more information
of the delay’s range and the delay’s derivative. Secondly, based on two improved integral inequalities which are less
conservative than Jensen’s integral inequalities, a delay-range-partition (DRP) approach is proposed to estimate the
upper bound of the derivative of the augmented Lyapunov-Krasovskii functional. Then, less conservative stability
criteria in the form of linear matrix inequality (LMI) are established no matter whether the lower bound of delay
is zero or not. Finally, to illustrate the effectiveness of the stability criteria proposed in this paper, two numerical
examples are given, and their results are compared with the existing results."
"Delay-dependent stability criterion, delay-range-partition (DRP) approach, integral inequality, linear time-delay systems. time-delay systems."