Global robust stability of delayed neural networks with discontinuous activation functions
Global robust stability of delayed neural networks with discontinuous activation functions
- Author(s): Y. Wang ; Y. Zuo ; L. Huang ; C. Li
- DOI: 10.1049/iet-cta:20070323
For access to this article, please select a purchase option:
Buy article PDF
Buy Knowledge Pack
IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.
Thank you
Your recommendation has been sent to your librarian.
- Author(s): Y. Wang 1 ; Y. Zuo 1 ; L. Huang 2 ; C. Li 1, 3
-
-
View affiliations
-
Affiliations:
1: College of Electric and Information Technology, Hunan University, Changsha, People's Republic of China
2: College of Mathematics and Econometrics, Hunan University, Changsha, People's Republic of China
3: Department of Mathematics and Computer Science, Guang Dong University of Business Studies, Guangzhou, People's Republic of China
-
Affiliations:
1: College of Electric and Information Technology, Hunan University, Changsha, People's Republic of China
- Source:
Volume 2, Issue 7,
July 2008,
p.
543 – 553
DOI: 10.1049/iet-cta:20070323 , Print ISSN 1751-8644, Online ISSN 1751-8652
- « Previous Article
- Table of contents
- Next Article »
The authors consider the problem of global robust stability of delayed neural networks with discontinuous activation functions. The stability conditions are given in terms of a linear matrix inequalities, and based on the Lyapunov–Krasovskii stability theory. The results are brand new and original compared with the previous literature. Two numerical examples are given to show the effectiveness of the results.
Inspec keywords: delays; Lyapunov methods; stability; neural nets; linear matrix inequalities
Other keywords:
Subjects: Neural nets (theory); Algebra
References
-
-
1)
- Z. Wang , Y. Liu , X. Liu . Exponential stability of delayed recurrent neural networks with Markovian jumping parameters. Phys. Lett. A , 4 , 346 - 352
-
2)
- V. Singh . Novel LMI condition for global robust stability of delayed neural networks. Chaos Solitions Fractals , 4 , 503 - 508
-
3)
- V. Singh . Global robust stability of delayed neural networks: estimating upper limit of norm of delayed connection weight matrix. Chaos Solitions Fractals , 1 , 259 - 263
-
4)
- V. Singh . Robust stability of cellular neural networks with delay: linear matrix inequality approach. IET Control Theory Appl. , 1 , 125 - 129
-
5)
- J. Cao , D. Huang , Y. Qu . Global robust stability of delayed recurrent neural networks. Chaos Solitions Fractals , 1 , 221 - 229
-
6)
- Z. Zuo , Y. Wang . Robust stability criterion for delayed cellular neural networks with norm-bounded uncertainties. IET Control Theory Appl. , 1 , 387 - 392
-
7)
- Q. Zhang , X. Wei , J. Xu . A new global stability result for delayed neural networks. Nonlinear Anal., Real World Appl. , 3 , 1024 - 1028
-
8)
- J. Aubin , A. Cellina . (1984) Differential inclusions.
-
9)
- A. Baciotti , R. Conti , P. Marcellini . (2000) Discontinuous ordinary differential equations and stabilization.
-
10)
- S. Xu , J. Lam , D.W.C. Ho , Y. Zou . Improved global robust asymptotic stability criteria for delayed cellular neural networks. IEEE Trans. Syst. Man Cybern. B , 1317 - 1321
-
11)
- V. Singh . LMI approach to the global robust stability of a larger class of neural networks with delay. Chaos Solitions Fractals , 4 , 1927 - 1934
-
12)
- W. Lu , T. Chen . Dynamical behaviors of delayed neural network systems with discontinuous activation functions. Neural Comput. , 1 , 683 - 708
-
13)
- F.H. Clarke . (1983) Optimization and nonsmooth analysis.
-
14)
- C. Li , X. Liao , R. Zhang . A global exponential robust stability criterion for interval delayed neural networks with variable delays. Neurocomputing , 7 , 803 - 809
-
15)
- M. Forti , P. Nistri . Global exponential stability and global convergence in finite time of delayed neural networks with infinite gain. IEEE Trans. Neural Netw. , 6 , 1449 - 1463
-
16)
- A. Filippov . (1988) Differential equations with discontinuous right-hand side.
-
17)
- W. Lu , T. Chen . Dynamical behaviors of Cohen-Grossberg neural networks with discontinuous activation functions. Neural Netw. , 3 , 231 - 242
-
18)
- M. Forti , M. Grazzini , P. Nistri , L. Pancioni . Generalized Lyapunov approach for convergence of neural networks with discontinuous or non-Lipschitz activations. IEEE Trans. Neural Netw. , 6 , 88 - 99
-
19)
- W. Zhu , J. Hu . Stability analysis of stochastic delayed cellular neural networks by LMI approach. Chaos Solitions Fractals , 1 , 171 - 174
-
20)
- P. Li , J. Cao . Stability in static delayed neural networks: a nonlinear measure approach. Neurocomputing , 1776 - 1781
-
21)
- D. Papini , V. Taddei . Global exponential stability of the periodic solution of a delayed neural network with discontinuous activations. Phys. Lett. A , 2 , 117 - 128
-
22)
- C. Li , X. Liao . Global robust stability criteria for interval delayed neural networks via an LMI approach. IEEE Trans. Circuits Syst. II, Express Briefs , 9 , 901 - 905
-
23)
- J. Hale . (1994) Ordinary differential equations.
-
24)
- H. Qi . Global robust stability stability of delayed neural networks. IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , 1 , 156 - 160
-
25)
- H. Qi . New sufficient conditions for global robust stability of delayed neural networks. IEEE Trans. Circuits Syst. I, Regul. Pap. , 1 , 683 - 708
-
26)
- S. Boyd , L.E. Ghaoui , E. Feron , V. Balakrishnan . (1994) Linear matrix inequalities in system and control theory.
-
27)
- J. Cao , J. Wang . Global asymptotic and robust stability of recurrent neural networks with time delays. IEEE Trans. Circuits Syst. I, Regul. Pap. , 3 , 417 - 426
-
28)
- C.D. Li , X.F. Liao , R. Zhang . Global robust asymptotical stability of multi-delayed interval neural networks: an LMI appraoch. Phys. Lett. A , 452 - 462
-
29)
- M. Forti , P. Nistri . Global convergence of neural networks with discontinuous neuron activations. IEEE Trans. Circuit Syst. Fund. Theor. Appl. , 11 , 1421 - 1435
-
1)