Finite-gain \(\mathcal{L_{\infty}}\) stability from disturbance to output of a class of time delay system
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- 作者：Ping Li ; Xinzhi Liu ; Wu Zhao
- 关键词：finite ; gain \(\mathcal{L_{\infty}}\) ; stable from disturbance to output ; Lyapunov ; Krasovskii functional ; delay decomposition method ; time ; variant delay
- 刊名：Journal of Inequalities and Applications
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：2017
- 期：1
- 全文大小：1596KB
- 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
- 出版者：Springer International Publishing
- ISSN：1029-242X
- 卷排序：2017
文摘
Results on finite-gain \(\mathcal{L_{\infty}}\) stability from a disturbance to the output of a time-variant delay system are presented via a delay decomposition approach. By constructing an appropriate Lyapunov-Krasovskii functional and a novel integral inequality, which gives a tighter upper bound than Jensen’s inequality and Bessel-Legendre inequality, some sufficient conditions are established and desired feedback controllers are designed in terms of the solution to certain LMIs. Compared with the existing results, the obtained criteria are more effective due to the tuning scalars and free-weighting matrices. Numerical examples and their simulations are given to demonstrate the effectiveness of the proposed method.