TY - JOUR
T1 - Improved delay-dependent stability analysis for uncertain stochastic neural networks with time-varying delay
AU - Liu, Fang
AU - Wu, Min
AU - He, Yong
AU - Yokoyama, Ryuichi
PY - 2011/4
Y1 - 2011/4
N2 - This paper focuses on the problem of delay-dependent robust stability analysis for a class of uncertain stochastic neural networks with time-varying delay by employing improved free-weighting matrix method. Taking the relationship among the time-varying delay, its upper bound and their difference into account and using Itô's differential formula, some improved LMI-based delay-dependent stability criteria for stochastic neural networks are obtained without ignoring any terms, which guarantee systems globally robustly stochastically stable in the mean square. Finally, three numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
AB - This paper focuses on the problem of delay-dependent robust stability analysis for a class of uncertain stochastic neural networks with time-varying delay by employing improved free-weighting matrix method. Taking the relationship among the time-varying delay, its upper bound and their difference into account and using Itô's differential formula, some improved LMI-based delay-dependent stability criteria for stochastic neural networks are obtained without ignoring any terms, which guarantee systems globally robustly stochastically stable in the mean square. Finally, three numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
KW - It̂'s differential formula
KW - Linear matrix inequality (LMI)
KW - Robust stability
KW - Time-varying delay
KW - Uncertain stochastic neural networks
UR - http://www.scopus.com/inward/record.url?scp=79952814757&partnerID=8YFLogxK
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U2 - 10.1007/s00521-010-0408-2
DO - 10.1007/s00521-010-0408-2
M3 - Article
AN - SCOPUS:79952814757
SN - 0941-0643
VL - 20
SP - 441
EP - 449
JO - Neural Computing and Applications
JF - Neural Computing and Applications
IS - 3
ER -