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

共 50 条

[21] Mean square exponential stability for some stochastic linear discrete time systems
Dragan, Vasile
Morozan, Toader
EUROPEAN JOURNAL OF CONTROL, 2006, 12 (04) : 373 - 395
[22] Mean-square exponential stability of stochastic Markovian jump systems with mode-dependent time-varying delays
Ma, Li
Da, Fei-Peng
Zhang, Kan-Jian
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 2923 - 2928
[23] Mean square exponential stability of discrete-time Markov switched stochastic neural networks with partially unstable subsystems and mixed delays
Fan, Lina
Zhu, Quanxin
INFORMATION SCIENCES, 2021, 580 : 243 - 259
[24] Lagrange stability and passivity in the mean square sense of discrete-time stochastic Markovian switched neural networks with time-varying mixed delays
Yang, Liu
Ma, Weijun
Wang, Xin
APPLIED MATHEMATICS AND COMPUTATION, 2024, 477
[25] Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks
Wang, Lisheng
Xu, Zongben
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (06) : 1373 - 1380
[26] Exponential stability for discrete-time singular stochastic systems with semi-Markovian switching
Zhang, Mengmeng
Zhu, Quanxin
JOURNAL OF THE FRANKLIN INSTITUTE, 2024, 362 (04)
[27] Robust exponential stability for discrete-time interval BAM neural networks with delays and Markovian jump parameters
Qiu, Jiqing
Lu, Kunfeng
Shi, Peng
Mahmoud, Magdi S.
INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2010, 24 (09) : 760 - 785
[28] Simple stability conditions for linear positive discrete-time systems with delays
Buslowicz, M.
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2008, 56 (04) : 325 - 328
[29] Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays
Ruszewski, Andrzej
ADVANCES IN THE THEORY AND APPLICATIONS OF NON-INTEGER ORDER SYSTEMS, 2013, 257 : 53 - 64
[30] Mean square stability of discrete-time linear systems with random impulsive disturbances
Long, Jiamei
Guo, Yuqian
Gui, Weihua
SCIENCE CHINA-INFORMATION SCIENCES, 2023, 66 (06)

← 1 2 3 4 5 →