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

被引：1
作者：
Agarwal, Neha [1 ]
Kar, Haranath [1 ]
机构：
[1] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2018年 / 37卷 / 09期
关键词：
Bounded real lemma; Fornasini-Marchesini second model; H-infinity control; Lyapunov stability; Two-dimensional (2-D) linear discrete system; MARCHESINI 2ND MODEL; STABILITY ANALYSIS; H-INFINITY;
D O I：
10.1007/s00034-018-0749-0
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
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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收藏
页码：4082 / 4089
页数：8
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