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
收藏
页码：1305 / 1310
页数：6
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