Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions
Joint Authors
Guo, Xueqing
Ding, Sanbo
Wang, Lingling
Wu, Huaiqin
Zhang, Luying
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-17
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The robust almost periodic dynamical behavior is investigated for interval neural networks with mixed time-varying delays and discontinuous activation functions.
Firstly, based on the definition of the solution in the sense of Filippov for differential equations with discontinuous right-hand sides and the differential inclusions theory, the existence and asymptotically almost periodicity of the solution of interval network system are proved.
Secondly, by constructing appropriate generalized Lyapunov functional and employing linear matrix inequality (LMI) techniques, a delay-dependent criterion is achieved to guarantee the existence, uniqueness, and global robust exponential stability of almost periodic solution in terms of LMIs.
Moreover, as special cases, the obtained results can be used to check the global robust exponential stability of a unique periodic solution/equilibrium for discontinuous interval neural networks with mixed time-varying delays and periodic/constant external inputs.
Finally, an illustrative example is given to demonstrate the validity of the theoretical results.
American Psychological Association (APA)
Wu, Huaiqin& Ding, Sanbo& Guo, Xueqing& Wang, Lingling& Zhang, Luying. 2013. Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-486577
Modern Language Association (MLA)
Wu, Huaiqin…[et al.]. Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions. Abstract and Applied Analysis No. 2013 (2013), pp.1-13.
https://search.emarefa.net/detail/BIM-486577
American Medical Association (AMA)
Wu, Huaiqin& Ding, Sanbo& Guo, Xueqing& Wang, Lingling& Zhang, Luying. Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-13.
https://search.emarefa.net/detail/BIM-486577
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-486577