Exponential stability for discrete-time singular stochastic systems with semi-Markovian switching

被引：1
作者：
Zhang, Mengmeng [1 ]
Zhu, Quanxin [1 ]
机构：
[1] Hunan Normal Univ, Sch Math & Stat, MOE LCSM, Changsha 410081, Hunan, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE | 2024年 / 362卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Discrete-time singular system; Semi-Markovian switching; Exponential stability in mean square; Lyapunov function; Linear matrix inequality; DIFFERENTIAL-EQUATIONS; JUMP SYSTEMS; STABILIZATION;
D O I：
10.1016/j.jfranklin.2025.107521
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the stability of stochastic discrete-time singular systems with semi-Markovian switching (SMS) is taken into consideration. Based on inherent mode-dependent state jump behaviors, a time-dependent coordinate transformation is established, which is of great importance in discussion. Stochastic disturbances are also considered. Constructing Lyapunov function and applying stochastic analysis techniques, sufficient conditions for exponential stability in mean square and almost surely exponential stability are obtained by considering the probability density function of sojourn-time. Besides, we provide corresponding linear matrix inequalities (LMIs) of the provided sufficient conditions. Finally, the correctness of the results is demonstrated with an example.
引用
收藏
页数：10
相关论文
共 46 条
[1]   Stochastic and exponential stability of discrete-time Markov jump linear singular systems [J].
Chavez-Fuentes, Jorge R. ;
Mayta, Jorge E. ;
Costa, Eduardo F. ;
Terra, Marco H. .
SYSTEMS & CONTROL LETTERS, 2017, 107 :92-99
[2]   Regularity and stability analysis of discrete-time Markov jump linear singular systems [J].
Chavez-Fuentes, Jorge R. ;
Costa, Eduardo F. ;
Mayta, Jorge E. ;
Terra, Marco H. .
AUTOMATICA, 2017, 76 :32-40
[3]   Stability of stochastic systems with semi-Markovian switching and impulses [J].
Chen, Feng ;
Chen, Yuming ;
Zhu, Quanxin ;
Zhang, Qimin .
CHAOS SOLITONS & FRACTALS, 2023, 177
[4]   Aperiodic Sampled-Data H∞ Control of Vehicle Active Suspension System: An Uncertain Discrete-Time Model Approach [J].
Chen, Guoliang ;
Du, Guixiang ;
Xia, Jianwei ;
Xie, Xiangpeng ;
Wang, Zhichuang .
IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2024, 20 (04) :6739-6750
[5]   Controller Synthesis of Aperiodic Sampled-Data Networked Control System With Application to Interleaved Flyback Module Integrated Converter [J].
Chen, Guoliang ;
Du, Guixiang ;
Xia, Jianwei ;
Xie, Xiangpeng ;
Park, Ju H. .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2023, 70 (11) :4570-4580
[6]   Mean Square Exponential Stability Analysis for Ito Stochastic Systems With Aperiodic Sampling and Multiple Time-Delays [J].
Chen, Guoliang ;
Fan, Chenchen ;
Sun, Jian ;
Xia, Jianwei .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (05) :2473-2480
[7]   Sampled-Data Synchronization of Stochastic Markovian Jump Neural Networks With Time-Varying Delay [J].
Chen, Guoliang ;
Xia, Jianwei ;
Park, Ju H. ;
Shen, Hao ;
Zhuang, Guangming .
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2022, 33 (08) :3829-3841
[8]   Further results on delay-dependent stability for neutral singular systems via state decomposition method [J].
Chen, Wenbin ;
Gao, Fang ;
She, Jinhua ;
Xia, Weifeng .
CHAOS SOLITONS & FRACTALS, 2020, 141
[9]   Optimal control for uncertain random singular systems with multiple time-delays [J].
Chen, Xin ;
Zhu, Yuanguo .
CHAOS SOLITONS & FRACTALS, 2021, 152
[10]   Brief paper Extended dissipative anti-disturbance control for delayed switched singular semi-Markovian jump systems with multi-disturbance via disturbance observer [J].
Ding, Kui ;
Zhu, Quanxin .
AUTOMATICA, 2021, 128
12345