摘要
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型双重积分不等式和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.
Aimming at the problem of stability analysis for the delay-dependent systems with nonlinear perturbations, in order to obtain a less conservative stability criteria, the augmented form of Lyapunov-Krasovskii functional is constructed based on the refined Jensen-based inequality, the Wirtinger-based double integral inequality and the improved reciprocally convex approach. Numerical example is given to illustrate the effectiveness of the proposed method. Compared with some existing results, the results obtained have less conservativeness and better robustness.
出处
《控制与决策》
EI
CSCD
北大核心
2016年第11期2090-2094,共5页
Control and Decision
基金
国家自然科学基金项目(61503280
61403278
61272006)
