Stability analysis of discrete-time Markovian jump neural networks with time-varying delays via a new summation inequality

被引：0
作者：
Zhi, Ya-Li [1 ]
Wu, Yan-Yan [1 ]
Chen, Liuwen [1 ]
Yang, Guozhi [1 ]
Gao, Fang [2 ]
Chen, Wenbin [2 ]
机构：
[1] AnHui Univ, Sch Elect Engn & Automat, Hefei, Peoples R China
[2] Anhui Normal Univ, Sch Phys & Elect Informat, Wuhu, Peoples R China
来源：
ASIAN JOURNAL OF CONTROL | 2025年
基金：
中国国家自然科学基金;
关键词：
discrete-time Markovian jump neural networks; nonorthogonal free-matrix-based summation inequality; stability; time-varying delays; PASSIVITY ANALYSIS; SYSTEMS; SYNCHRONIZATION;
D O I：
10.1002/asjc.3626
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 research focuses on the stability of discrete-time Markovian jump neural networks with time-varying delays. To this aim, a nonorthogonal free-matrix-based summation inequality (NFMSI) is proposed by constructing nonorthogonal polynomials with auxiliary scalars as well as auxiliary vectors. The NFMSI can avoid time-varying delays in the denominator and prevent the loss of some coupling information compared to exiting summation inequalities. Then, an ameliorative stability criterion is derived by utilizing the NFMSI and other estimation method. Finally, the advantage of the obtained stability criterion is demonstrated by a few numerical examples.
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页数：9
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