Bounded Real Lemma for 2-D Discrete Systems Using Asymmetric Lyapunov Matrix: What Shall It Be?

被引:0
作者
Neha Agarwal
Haranath Kar
机构
[1] Motilal Nehru National Institute of Technology Allahabad,Department of Electronics and Communication Engineering
来源
Circuits, Systems, and Signal Processing | 2018年 / 37卷
关键词
Bounded real lemma; Fornasini–Marchesini second model; control; Lyapunov stability; Two-dimensional (2-D) linear discrete system;
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中图分类号
学科分类号
摘要
In this paper, we examine a recently reported bounded real lemma for two-dimensional (2-D) discrete systems using asymmetric Lyapunov matrix (Vidyarthi et al. in Circuits Syst Signal Process 36(10):3901–3918, 2017). It is shown that the bounded real lemma, as it is, is incorrect and may lead to erroneous conclusion. Moreover, various corrected and equivalent forms of their bounded real lemma are discussed.
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页码:4082 / 4089
页数:7
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