Results on reachable set estimation for linear systems with both discrete and distributed delays
Results on reachable set estimation for linear systems with both discrete and distributed delays
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DOI：
10.1049/iet-cta.2012.0491
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发表时间：
2012-09
影响因子：
2.6
通讯作者：
Z. Zuo;Youhua Fu;Yijing Wang
中科院分区：
文献类型：
--
作者：
Z. Zuo;Youhua Fu;Yijing Wang
这项研究在存在离散延迟和分布式延迟的情况下重新构建了一类线性系统的可及时设置边界的问题。功能。因此，取消了作者的结果。
This study reconsiders the problem of reachable set bounding for a class of linear systems in the presence of both discrete and distributed delays. Some new criteria are established where the useful term is retained when we estimate the upper bound of the derivative of the Lyapunov–Krasovskii functional. The free-weighting matrix technique is utilised to realise such a purpose. Moreover, the special structure constraint on the final expression of the derivative of the Lyapunov functional in the previous result of authors is removed. Consequently, a tighter bound of the reachable set is obtained. Numerical examples are given to illustrate the merit of the proposed method comparing with the existing ones.