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El. knyga: Analysis and Control of Coupled Neural Networks with Reaction-Diffusion Terms

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  • Formatas: PDF+DRM
  • Išleidimo metai: 07-Jun-2017
  • Leidėjas: Springer Verlag, Singapore
  • Kalba: eng
  • ISBN-13: 9789811049071
Kitos knygos pagal šią temą:
Analysis and Control of Coupled Neural Networks with Reaction-Diffusion TermsDidesnis paveikslėlis
  • Formatas: PDF+DRM
  • Išleidimo metai: 07-Jun-2017
  • Leidėjas: Springer Verlag, Singapore
  • Kalba: eng
  • ISBN-13: 9789811049071
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This book introduces selected recent findings on the analysis and control of dynamical behaviors for coupled reaction-diffusion neural networks. It presents novel research ideas and essential definitions concerning coupled reaction-diffusion neural networks, such as passivity, adaptive coupling, spatial diffusion coupling, and the relationship between synchronization and output strict passivity. Further, it gathers research results previously published in many flagship journals, presenting them in a unified form. As such, the book will be of interest to all university researchers and graduate students in Engineering and Mathematics who wish to study the dynamical behaviors of coupled reaction-diffusion neural networks.

1 Introduction
1(12)
1.1 Background
1(3)
1.1.1 Reaction-Diffusion Neural Networks
1(1)
1.1.2 Coupled Neural Networks with Reaction-Diffusion Terms
2(2)
1.2 Book Organization
4(1)
1.3 Some Definitions
5(2)
1.4 Graph Theory
7(1)
1.5 Some Lemmas
7(5)
1.6 Assumption
12(1)
2 Pinning Control Strategies for Synchronization of CRDNNs
13(26)
2.1 Introduction
13(2)
2.2 Pinning Control of CRDNNs with State Coupling
15(9)
2.2.1 Network Model
15(2)
2.2.2 Pinning Synchronization of CRDNNs
17(4)
2.2.3 Pinning Synchronization of CRDNNs with Adaptive Coupling Strength
21(3)
2.3 Pinning Control of CRDNNs with Spatial Diffusion Coupling
24(9)
2.3.1 Network Model
25(1)
2.3.2 Pinning Synchronization of CRDNNs
26(4)
2.3.3 Pinning Adaptive Synchronization of CRDNNs
30(3)
2.4 Numerical Examples
33(5)
2.5 Conclusions
38(1)
3 Pinning Control for Synchronization of CRDNNs with Directed Topologies
39(24)
3.1 Introduction
39(1)
3.2 Pinning Synchronization of a CRDNNs with Directed Topologies
40(17)
3.2.1 Network Model
40(2)
3.2.2 Pinning Synchronization Criteria
42(9)
3.2.3 Adaptive Coupling Strength
51(3)
3.2.4 Pinning Adaptive Synchronization Criterion
54(3)
3.3 Numerical Example
57(4)
3.4 Conclusions
61(2)
4 Impulsive Control for the Synchronization of CRDNNs
63(18)
4.1 Introduction
63(1)
4.2 Main Results
64(13)
4.3 Numerical Examples
77(3)
4.4 Conclusions
80(1)
5 Novel Adaptive Strategies for Synchronization of CRDNNs
81(24)
5.1 Introduction
81(1)
5.2 Adaptive Synchronization in CRDNNs
82(9)
5.2.1 Network Model
83(1)
5.2.2 Adaptive Strategy for Synchronization of CRDNNs
84(5)
5.2.3 Adaptive Pinning Strategy for Synchronization of CRDNNs
89(2)
5.3 Adaptive Synchronization in CRDNNs with Time-Varying Coupling Delay
91(6)
5.3.1 Network Model
91(1)
5.3.2 Adaptive Strategy for Synchronization of CRDNNs
92(3)
5.3.3 Adaptive Pinning Strategy for Synchronization of CRDNNs
95(2)
5.4 Numerical Examples
97(6)
5.5 Conclusions
103(2)
6 Synchronization and Adaptive Control of CRDNNs with Hybrid Coupling
105(24)
6.1 Introduction
105(1)
6.2 Synchronization in CRDNNs with Hybrid Coupling
106(8)
6.2.1 Network Model
106(1)
6.2.2 Synchronization of CRDNNs
107(4)
6.2.3 Hoc Synchronization of CRDNNs
111(3)
6.3 Adaptive Synchronization of CRDNNs with Hybrid Coupling
114(10)
6.3.1 Network Model
114(1)
6.3.2 Adaptive Strategies for Synchronization of CRDNNs
114(6)
6.3.3 Adaptive Strategies for Synchronization of CRDNNs
120(4)
6.4 Numerical Examples
124(4)
6.5 Conclusions
128(1)
7 Passivity-Based Synchronization of CRDNNs with Time-Varying Delay
129(14)
7.1 Introduction
129(1)
7.2 Network Model
130(1)
7.3 Passivity-Based Synchronization of CRDNNs
131(8)
7.4 Numerical Example
139(2)
7.5 Conclusion
141(2)
8 Passivity and Synchronization of CRDNNs with Adaptive Coupling
143(18)
8.1 Introduction
143(1)
8.2 Network Model
144(2)
8.3 Passivity and Synchronization of CRDNNs
146(9)
8.3.1 Passivity Analysis of CRDNNs
146(6)
8.3.2 The Relationship Between Passivity and Synchronization of CRDNNs
152(3)
8.3.3 Synchronization of CRDNNs
155(1)
8.4 Numerical Example
155(4)
8.5 Conclusion
159(2)
9 Passivity Analysis of CRDNNs with Dirichlet Boundary Conditions
161(24)
9.1 Introduction
161(1)
9.2 Passivity of CRDNNs
162(10)
9.2.1 Network Model
162(1)
9.2.2 Passivity Analysis of CRDNNs
163(5)
9.2.3 The Stability of Passive CRDNNs
168(4)
9.3 Passivity of CRDNNs with Time-Varying Delay
172(4)
9.3.1 Network Model
172(1)
9.3.2 Passivity Analysis of CRDNNs with Time-Varying Delay
172(4)
9.3.3 The Stability of Passive Delayed CRDNNs
176(1)
9.4 Numerical Examples
176(8)
9.5 Conclusion
184(1)
10 Passivity of Directed and Undirected CRDNNs with Adaptive Coupling Weights
185(26)
10.1 Introduction
185(2)
10.2 Network Model
187(1)
10.3 Passivity of CRDNNs with Directed Topology and Adaptive Coupling Weights
188(9)
10.3.1 Passivity Analysis of CRDNNs
190(5)
10.3.2 The Relationship Between Output Strict Passivity and Synchronization of CRDNNs
195(2)
10.4 Passivity of CRDNNs with Undirected Topology and Adaptive Coupling Weights
197(5)
10.4.1 Passivity Analysis of CRDNNs
198(3)
10.4.2 The Relationship Between Output Strict Passivity and Synchronization of CRDNNs
201(1)
10.5 Numerical Examples
202(7)
10.6 Conclusion
209(2)
References 211
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