Name
Abstract | ||
|---|---|---|
This paper addresses the analysis and synthesis of interconnected systems constructed from SISO positive subsystems and a nonnegative interconnection matrix. We focus on the case where the interconnection matrix switches over a finite set of given nonnegative matrices. By analyzing the existence of a first integral, we clarify a condition under which the state of the interconnected system, starting from any nonnegative initial state, becomes nonnegative and bounded under arbitrary switching. By extending this result, we establish a linear-programming-based method to synthesize the interconnection matrices to achieve a switching formation control of multi-agent positive systems. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/CDC.2013.6760897 | CDC |
Keywords | Field | DocType |
control system synthesis,interconnected systems,linear programming,matrix algebra,multi-agent systems,time-varying systems,SISO positive subsystems,arbitrary switching,interconnected systems synthesis,linear-programming-based method,multi-agent positive systems,nonnegative interconnection matrix,switching formation control,first integral,interconnected positive system,multi-agent system,switching formation control | Mathematical optimization,Interconnection matrix,Finite set,Matrix (mathematics),Control theory,Computer science,Multi-agent system,Linear programming,Interconnection,Positive systems,Bounded function | Conference |
ISSN | Citations | PageRank |
0743-1546 | 1 | 0.38 |
References | Authors | |
0 | 3 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yoshio Ebihara | 1 | 164 | 19.52 |
| Dimitri Peaucelle | 2 | 309 | 31.56 |
| Denis Arzelier | 3 | 279 | 26.58 |