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| Content Provider | IET Digital Library |
|---|---|
| Author | Wen, Guanghui Yu, Wenwu Zhao, Yu Cao, Jinde |
| Abstract | This study addresses the global pinning synchronisation of directed networks with Lorenz-type node dynamics. By using tools from M-matrix theory and Lyapunov stability theory, the interesting issues of what kind of nodes should be pinned and how large the control strength between neighbouring nodes should be selected for achieving global synchronisation in both fixed and switching networks are clearly addressed. It is theoretically shown that global pinning synchronisation of an arbitrarily given fixed network can be achieved if the network topology contains a directed spanning tree and the coupling strength is larger than a derived critical value depending both on the node dynamics and the network topology. By suitably constructing multiple Lyapunov functions, it is further proved that global pinning synchronisation in switching networks with a suitable coupling strength can be guaranteed if each possible network topology contains a directed spanning tree and the dwell time of switching is less than a positive threshold. Numerical examples are finally given for illustration. |
| Starting Page | 1387 |
| Ending Page | 1397 |
| Page Count | 11 |
| ISSN | 17518644 |
| Volume Number | 7 |
| e-ISSN | 17518652 |
| Issue Number | Issue 10, Jul (2013) |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/iet-cta/7/10 |
| Alternate Webpage(s) | https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2013.0090 |
| Journal | IET Control Theory & Applications |
| Access Restriction | Open |
| Rights Holder | © The Institution of Engineering and Technology |
| Subject Keyword | Algebra Combinatorial Mathematics Control Strength between Critical Value Directed Spanning Tree Dwell Time Fixed Directed Network Fixed Network Global Pinning Synchronisation Global Synchronisation Lorenz-type Node Lorenz-type Node Dynamics Lyapunov Method Lyapunov Stability Theorem M-matrix Theory Mathematics Matrix Algebra Multiple Lyapunov Function Neighbouring Node Network Topology Stability in Control Theory Suitable Coupling Strength Switching Directed Network Switching Mechanism Synchronisation Time Varying Control System Time Varying System Topology Trees |
| Content Type | Text |
| Resource Type | Article |
| Subject | Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications |
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