In this paper, we first discuss the existence and uniqueness of the equilibrium point of interval general BAM neural networks with reaction-diffusion terms and multiple time-varying delays by means of using degree theory. Then by applying the existence result of an equilibrium point and constructing
Global robust stability of interval neural networks with multiple time-varying delays
β Scribed by Qiankun Song; Jinde Cao
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 178 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0378-4754
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β¦ Synopsis
In this paper, the global robust stability is investigated for interval neural networks with multiple time-varying delays. The neural network contains time-invariant uncertain parameters whose values are unknown but bounded in given compact sets. Without assuming both the boundedness on the activation functions and the differentiability on the time-varying delays, a new sufficient condition is presented to ensure the existence, uniqueness, and global robust stability of equilibria for interval neural networks with multiple time-varying delays based on the Lyapunov-Razumikhin technique as well as matrix inequality analysis. Several previous results are improved and generalized, and an example is given to show the effectiveness of the obtained results.
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