TY - JOUR
T1 - Further results on delay-dependent stability criteria of neural networks with time-varying delays
AU - Li, Tao
AU - Guo, Lei
AU - Sun, Changyin
AU - Lin, Chong
PY - 2008/4
Y1 - 2008/4
N2 - In this brief paper, an augmented Lyapunov functional, which takes an integral term of state vector into account, is introduced. Owing to the functional, an improved delay-dependent asymptotic stability criterion for delayed neural networks (NNs) is derived in term of linear matrix inequalities (LMIs). It is shown that the obtained criterion can provide less conservative result than some existing ones. When linear fractional uncertainties appear in NNs, a new robust delay-dependent stability condition is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
AB - In this brief paper, an augmented Lyapunov functional, which takes an integral term of state vector into account, is introduced. Owing to the functional, an improved delay-dependent asymptotic stability criterion for delayed neural networks (NNs) is derived in term of linear matrix inequalities (LMIs). It is shown that the obtained criterion can provide less conservative result than some existing ones. When linear fractional uncertainties appear in NNs, a new robust delay-dependent stability condition is also given. Numerical examples are given to demonstrate the applicability of the proposed approach.
KW - Asymptotic stability
KW - Delay-dependent
KW - Linear matrix inequality (LMI)
KW - Neural networks (NNs)
KW - Robust stability
UR - https://www.scopus.com/pages/publications/42549152358
U2 - 10.1109/TNN.2007.914162
DO - 10.1109/TNN.2007.914162
M3 - 文章
C2 - 18390316
AN - SCOPUS:42549152358
SN - 1045-9227
VL - 19
SP - 726
EP - 730
JO - IEEE Transactions on Neural Networks
JF - IEEE Transactions on Neural Networks
IS - 4
ER -