Sufficient Lyapunov conditions for exponential mean square stability of discrete-time systems with markovian delays

被引：1

作者：

Impicciatore, Anastasia ^{[1
]}

Grifa, Maria Teresa ^{[1
]}

Pepe, Pierdomenico ^{[1
,2
]}

D'Innocenzo, Alessandro ^{[1
,3
]}

机构：

[1] Univ Laquila, Dept Informat Engn Comp Sci & Math, Via Vetoio,Loc Coppito, I-67100 Laquila, Italy

[2] Ctr Excellence DEWS, Via Vetoio,Loc Coppito, I-67100 Laquila, Italy

[3] Ctr Excellence EX EMERGE, Via Vetoio,Loc Coppito, I-67100 Laquila, Italy

来源：

2021 29TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED) | 2021年

关键词：

D O I：

10.1109/MED51440.2021.9480250

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper introduces sufficient Lyapunov conditions guaranteeing exponential mean square stability of discrete-time systems with markovian delays. We provide a transformation of the discrete-time system with markovian delays into a discrete-time Markov jump system. Then, we extend sufficient Lyapunov conditions existing for the global asymptotic stability of discrete-time systems with delays digraphs to the mean square stability of discrete-time systems with markovian delays. Finally, an example is provided to illustrate the efficiency and advantage of the proposed method.

引用

页码：1305 / 1310

页数：6

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