Pinning Control

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Pinning Control by Mind Map: Pinning Control

1. M-Matrix

1.1. Qiang Song, Fang Liu, Jinde Cao, and Wenwu Yu, "Pinning-Controllability Analysis of Complex Networks: An M-Matrix Approach", 2012.

1.1.1. I. Introduction

1.1.2. II. Preliminaries

1.1.3. III. Stability Criteria for Pinning-Controlled Synchronization of Directed Complex Networks

1.1.4. IV. Stability Criteria for Pinning-Controlled Synchronization of Complex Delayed Networks

1.1.5. V. Selective Pinning Scheme for Complex Network with Arbitrary Topology

1.1.6. VI. Numerical Results

1.1.7. VII. Conclusions

1.2. Qiang Song, Fang Liu, Jinde Cao, and Wenwu Yu, "M-Matrix Strategies for Pinning-Controlled Leader-Following Consensus in Multiagent Systems With Nonlinear Dynamics", 2013.

1.2.1. I. Introduction

1.2.2. II. Preliminaries

1.2.3. III. Pinning-Controlled Leader-Following Consensus in Second-Order Multiagent Systems with Nonlinear Dynamics

1.2.4. IV. M-Matrix Strategies for Pinning-Controlled Multiagent Systems with Directed Topologies

1.2.5. V. Numerical Results

1.2.6. VI. Conclusion

2. Grounded Laplacian Matrix

2.1. Hui Liu, Xuanhong Xu, Guanrong Chen, and Jun-An Lu, "Optimizing Pinning Control of Complex Dynamical Networks Based on Spectral Properties of Grounded Laplacian Matrices", 2018.

2.1.1. I. Introduction

2.1.2. II. Pinning Control Network Model and Its Graph-Theoretic Synchronization Criterion

2.1.3. III. Effective Pinning Control Using Network Topology Information

2.1.4. IV. Pinning Control of Scale-Free and Small-World Networks

2.1.5. V. Conclusions

3. Event-Trigger

3.1. Bo Zhou, Xiaofeng Liao, Tingwen Huang, and Guo Chen, "Pinning exponential synchronization of complex networks via event-triggered communication with combinational measurements", 2015.

3.1.1. I. Introduction

3.1.2. II. Mathematical Preliminaries

3.1.3. III. Event Trigger Design ans Its Analysis

3.1.4. IV. Simulation Example

3.1.5. V. Conclusions

4. Symmetrized Laplacian Matrix

4.1. Qiang Song, and Jinde Cao, "On Pinning Synchronization of Directed and Undirected Complex Dynamical Networks", 2010