TY - JOUR
T1 - Global robust stability for delayed neural networks with polytopic type uncertainties
AU - He, Yong
AU - Wang, Qing-Guo
AU - Zheng, Wei Xing
PY - 2005/12
Y1 - 2005/12
N2 - In this paper, global robust stability for delayed neural networks is studied. First the free-weighting matrices are employed to express the relationship between the terms in the system equation, and a stability condition for delayed neural networks is derived by using the S-procedure. Then this result is extended to establish a global robust stability criterion for delayed neural networks with polytopic type uncertainties. A numerical example given in [IEEE Trans Circuits Syst II 52 (2005) 33-36] for interval delayed neural networks is investigated. The effectiveness of the presented global robust stability criterion and its improvement over the existing results are demonstrated.
AB - In this paper, global robust stability for delayed neural networks is studied. First the free-weighting matrices are employed to express the relationship between the terms in the system equation, and a stability condition for delayed neural networks is derived by using the S-procedure. Then this result is extended to establish a global robust stability criterion for delayed neural networks with polytopic type uncertainties. A numerical example given in [IEEE Trans Circuits Syst II 52 (2005) 33-36] for interval delayed neural networks is investigated. The effectiveness of the presented global robust stability criterion and its improvement over the existing results are demonstrated.
KW - global robust stability
KW - matrices
KW - neural networks, foundations to applications
UR - http://handle.uws.edu.au:8081/1959.7/34407
UR - http://www.sciencedirect.com/science/article/B6TJ4-4GBD6KW-4/1/4aa251435116ca1b86fc305ad6bbd68b
UR - http://www.scopus.com/inward/record.url?scp=20444473127&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2005.04.005
DO - 10.1016/j.chaos.2005.04.005
M3 - Article
SN - 0960-0779
VL - 26
SP - 1349
EP - 1354
JO - Chaos, Solitons & Fractals
JF - Chaos, Solitons & Fractals
IS - 5
ER -