Controller Design for Synchronization of Neural Networks with Time-varying Delays and Hybrid Couplings
Recently, the network synchronization has been challenging and interesting in var- ious applications such as signal processing, communication, and so on. In this thesis, the synchronization problems for coupled neural networks with time-varying delays and hybrid couplings are investigated. The go...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Theses and Dissertations |
| Language: | English |
| Published: |
เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2018
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| Subjects: | |
| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/45960 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | Recently, the network synchronization has been challenging and interesting in var-
ious applications such as signal processing, communication, and so on. In this thesis,
the synchronization problems for coupled neural networks with time-varying delays and
hybrid couplings are investigated. The goal of this research is to study and introduce a
general array model of coupled delayed neural networks with hybrid couplings for handling
synchronization problem. Global and exponential synchronization of coupled neural net-
works are studied and analyzed. For global synchronization, the coupled neural networks
with simultaneous presence the discrete and unbounded distributed delays are studied
in the case of constant and interval time-varying delay couplings. For exponential syn-
chronization, the coupled neural networks with presence leakage delay is studied in the
case of constant, interval time-varying delay and distributed delay couplings. Further-
more, the problem of synchronization designed by controller is studied as well. In this
research, the global synchronization for hybrid coupled neural networks are proposed by
feedback and sampled-data feedback controls. The exponential synchronization for hy-
brid coupled neural networks with feedback and intermittent feedback controls are further
studied. Based on the design of inner-coupling, outer-coupling, and some free matrices
representing the relationships between the system matrices, some sufficient conditions
are systematically established to meet the synchronization by constructing the improved
Lyapunov-Krasovskii functionals and Kronecker product properties. Numerical examples
with their simulations and the obtained results are given to show the effectiveness of the
proposed method |
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