Input-to-State Stability of Recurrent Neural Networks with Time-Varying Delays and Markovian Switching

被引：0

作者：

Xu, Yong ^{[1
]}

Zhu, Song ^{[2
]}

机构：

[1] Cent South Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

[2] China Univ Mining & Technol, Coll Sci, Xuzhou 221116, Peoples R China

来源：

PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2012年

关键词：

Input-to-State stability; Recurrent Neural Network; Time-Varying Delay; Markov Chain; GLOBAL EXPONENTIAL STABILITY; ROBUST STABILITY; DISCRETE;

D O I：

暂无

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 presents an algebraic criterion for the input-to-state stability (ISS) of recurrent neural networks with Markovian switching. The criterion is easy to be verified with the connection weights. A numerical example is given to demonstrate the effectiveness of the proposed criteria.

引用

页码：1897 / 1900

页数：4

共 50 条

[21] Further Results on Input-to-State Stability of Stochastic Cohen–Grossberg BAM Neural Networks with Probabilistic Time-Varying Delays
A. Chandrasekar
T. Radhika
Quanxin Zhu
Neural Processing Letters, 2022, 54 : 613 - 635
[22] Stability of nonautonomous recurrent neural networks with time-varying delays
Jiang, HJ
Cao, JD
Teng, ZD
ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 102 - 107
[23] Synchronization stability for recurrent neural networks with time-varying delays
Muhammadhaji, Ahmadjan
Halik, Azhar
SCIENCEASIA, 2019, 45 (02): : 179 - 186
[24] Stochastic stability of discrete-time uncertain recurrent neural networks with Markovian jumping and time-varying delays
Ali, M. Syed
Marudai, M.
MATHEMATICAL AND COMPUTER MODELLING, 2011, 54 (9-10) : 1979 - 1988
[25] Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays
M. Syed Ali
International Journal of Machine Learning and Cybernetics, 2014, 5 : 13 - 22
[26] Further Results on Input-to-State Stability of Stochastic Cohen-Grossberg BAM Neural Networks with Probabilistic Time-Varying Delays
Chandrasekar, A.
Radhika, T.
Zhu, Quanxin
NEURAL PROCESSING LETTERS, 2022, 54 (01) : 613 - 635
[27] Robust stability of stochastic uncertain recurrent neural networks with Markovian jumping parameters and time-varying delays
Ali, M. Syed
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2014, 5 (01) : 13 - 22
[28] Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays
Dai, Lihua
Hou, Yuanyuan
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[29] Mean-square exponentially input-to-state stability of stochastic Cohen-Grossberg neural networks with time-varying delays
Zhou, Weisong
Teng, Lingying
Xu, Daoyi
NEUROCOMPUTING, 2015, 153 : 54 - 61
[30] Mean-square exponential input-to-state stability of stochastic quaternion-valued neural networks with time-varying delays
Lihua Dai
Yuanyuan Hou
Advances in Difference Equations, 2021

← 1 2 3 4 5 →