On reachable set estimation of singular systems

On reachable set estimation of singular systems
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奇异系统的可达集估计

DOI:
10.1016/j.automatica.2014.11.007
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发表时间:
2015-02
期刊:
影响因子:
6.4
通讯作者:
Lam, James
Lam, James
中科院分区:
计算机科学2区
文献类型:
--
作者:
Feng, Zhiguang;Lam, James

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本文研究奇异系统的可达集估计问题。基于Lyapunov方法,根据线性矩阵不等式(LMI)建立了保证奇异系统可达集以椭球交集为界的充分条件。然后利用倒数凸方法将结果推广到时变时滞奇异系统问题。通过数值算例说明了本文所得结果的有效性。
In this paper, the problem of reachable set estimation of singular systems is investigated. Based on the Lyapunov method, a sufficient condition is established in terms of a linear matrix inequality (LMI) to guarantee that the reachable set of singular system is bounded by the intersection of ellipsoids. Then the result is extended to the problem for singular systems with time-varying delay by utilizing the reciprocally convex approach. The effectiveness of the obtained results in this paper is illustrated by numerical examples.
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