Abstract
This paper studies the controllability of linearly diffusively coupled multi-agent systems when some agents, called leaders, are under the influence of external control inputs. We bound the system's controllable subspace using combinatorial characteristics of some partitions of the graph describing the neighbor relationships between the agents. In particular, when such graphs are distance regular, we provide a full characterization of the controllable subspace for single leader cases while for multi-leader cases, a necessary condition and a sufficient condition for controllability are given respectively. In the end, we discuss how to choose leaders among the agents to guarantee controllability when the graphs are cycles or complete graphs, which are special subclasses of distance regular graphs.
| Original language | English |
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| Title of host publication | Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC) |
| Place of Publication | NEW YORK |
| Publisher | University of Groningen, Research Institute of Technology and Management |
| Pages | 759-764 |
| Number of pages | 6 |
| ISBN (Electronic) | 9781612847993 |
| ISBN (Print) | 9781612848006 |
| Publication status | Published - 2011 |
| Event | 50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC) - Duration: 12-Dec-2011 → 15-Dec-2011 |
Other
| Other | 50th IEEE Conference of Decision and Control (CDC)/European Control Conference (ECC) |
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| Period | 12/12/2011 → 15/12/2011 |
Keywords
- CLUSTER SYNCHRONIZATION
- CONSENSUS