一类时变时滞系统的稳定性分析

针对时变时滞系统稳定性问题, 在考虑非线性扰动的情况下, 为了降低时变时滞系统稳定性判据的保守性, 以改进的Jensen 不等式, Wirtinger型双重积分不等式以及优化凸组合技术为基础, 构造增广的Lyapunov-Krasovskii 泛函, 得到了新的时滞相关稳定性判据. 最后, 通过数值仿真对比可知, 该稳定性判据具有较小的保守性和良好的鲁棒性.

Stability criteria for a class of time-varying delay systems

This paper concerns with the problem of stability analysis for the delay-dependent systems with nonlinear perturbations. In order to obtain a new less conservative stability criteria, the augmented form of Lyapunov-Krasovskii functional is constructed based on refined Jensen-based inequality, Wirtinger-based double integral inequality and improved reciprocally convex approach. Numerical example is given to demonstrate the effectiveness of the proposed method. Compared with some existing results, the results we obtained have less conservativeness and better robustness.