Bounded real lemma for positive discrete systems
Bounded real lemma for positive discrete systems
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DOI：
10.1049/iet-cta.2012.0167
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发表时间：
2013-03
影响因子：
2.6
通讯作者：
Cuihong Wang
中科院分区：
文献类型：
--
作者：
Cuihong Wang
研究了正离散定常系统的有界真实的引理。将连续定常系统的有界真实的引理推广到离散定常系统。此类系统是渐进稳定的，其H ∞范数小于1相当于相应的线性矩阵不等式存在对角正定解。最后一个例子说明了该结果对一般的离散定常系统不成立。
The bounded real lemma for positive discrete time-invariant systems is addressed in this study. The results about bounded real lemma for continuous time-invariant systems are extended into discrete time-invariant systems. Such systems are asymptotically stable and their H ∞ norm less than one is equivalent to that the corresponding linear matrix inequality admits a diagonal positive-definite solution. The last example in this study illustrates the result does not hold for general discrete time-invariant systems.