Reachable set estimation for neutral semi-Markovian jump systems with time-varying delay

被引：1
作者：
Zhang, Xipan [1 ]
Shen, Changchun [1 ]
Xu, Dingju [1 ]
机构：
[1] Guizhou Minzu Univ, Sch Data Sci & Informat Engn, Guiyang 550025, Peoples R China
来源：
AIMS MATHEMATICS | 2024年 / 9卷 / 04期
关键词：
bound of reachable set; neutral semi-Markovian jump systems; Lyapunov-Krasovskii; Linear matrix inequalities; STABILITY ANALYSIS; DEPENDENT STABILITY; NEURAL-NETWORKS; LINEAR-SYSTEMS; INEQUALITY; CRITERIA;
D O I：
10.3934/math.2024391
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work addresses the issue of finding ellipsoidal bounds of reachable sets for neutral semi-Markovian jump systems with time-varying delay and bounded peak disturbances, for which the related result has been rarely proposed for neutral semi-Markovian jump systems. Based on the modified improved Lyapunov-Krasovskii functional, a boundary of the reachable set for neutral semi-Markovian jump systems was obtained with the aid of utilizing a novel integral inequality and combining with the time-delay segmentation technique. The numerical examples are supplied to verify the effectiveness of the obtained results.
引用
收藏
页码：8043 / 8062
页数：20
相关论文
共 52 条
[1]   Stability analysis of switched homogeneous time-delay systems under synchronous and asynchronous commutation [J].
Aleksandrov, A. ;
Efimov, D. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 42 (42)
[2]   Reachable set estimation for switched linear systems with dwell-time switching [J].
Baldi, Simone ;
Xiang, Weiming .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 29 :20-33
[3]  
Boyd S., 1994, Linear Matrix Inequalities in System and Control Theory
[4]   Reachable set bounding for linear systems with mixed delays and state constraints [J].
Chen, Ruihan ;
Guo, Moxuan ;
Zhu, Song ;
Qi, Yongqiang ;
Wang, Min ;
Hu, Junhao .
APPLIED MATHEMATICS AND COMPUTATION, 2022, 425
[5]   Estimation and synthesis of reachable set for switched linear systems [J].
Chen, Yong ;
Lam, James ;
Zhang, Baoyong .
AUTOMATICA, 2016, 63 :122-132
[6]   Stability of neutral-type neural network with Levy noise and mixed time-varying delays [J].
Cui, Kaiyan ;
Song, Zhanjie ;
Zhang, Shuo .
CHAOS SOLITONS & FRACTALS, 2022, 159
[7]   On reachable set estimation of singular systems [J].
Feng, Zhiguang ;
Lam, James .
AUTOMATICA, 2015, 52 :146-153
[8]   Applications of hybrid reachability analysis to robotic aerial vehicles [J].
Gillula, Jeremy H. ;
Hoffmann, Gabriel M. ;
Huang, Haomiao ;
Vitus, Michael P. ;
Tomlin, Claire J. .
INTERNATIONAL JOURNAL OF ROBOTICS RESEARCH, 2011, 30 (03) :335-354
[9]   An integral inequality in the stability problem of time-delay systems [J].
Gu, KQ .
PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810
[10]   Stochastic stability and robust stabilization of semi-Markov jump linear systems [J].
Huang, Ji ;
Shi, Yang .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (18) :2028-2043
123456