Robust Almost Periodic Dynamics for Interval Neural Networks with Mixed Time-Varying Delays and Discontinuous Activation Functions
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 a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/630623 |
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| Summary: | 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. |
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| ISSN: | 1085-3375 1687-0409 |