Structural controllability of multi-agent systems with absolute protocol under fixed and switching topologies

A Graphical Characterization of Structurally Controllable Linear Systems With Dependent Parameters

“…One line of research deals with the structural controllability of composite systems [22]- [26]. Current interest stems from the realization that structural controllability is a key property of interest in swarming behavior and in the modeling and understanding complex networks [27]- [35]. For example, identification, characterization, and classification of driver vertices or steering vertices in biomedical networks [36]- [43], which tend This work was supported by National Science Foundation grant n. 1607101.00 and US Air Force grant n. FA9550-16-1-0290.…”

Target controllability of multiagent systems under fixed and switching topologies

“…The definition of structural controllability was firstly proposed in the work of Lin and then generalized to MASs in the work of Zamani and Lin, where topological condition for a single‐leader system was investigated, and a necessary and sufficient graph‐theoretic condition on structural controllability was proposed. Subsequently, structural (strongly structurally) controllability of MAS has been studied extensively in various ways, and corresponding results include constrained matching, zero forcing set, absolute protocol, and switching topology …”

“…Subsequently, structural (strongly structurally) controllability of MAS has been studied extensively in various ways, and corresponding results include constrained matching, zero forcing set, absolute protocol, and switching topology. [29][30][31][32][33] It is noteworthy that the aforementioned results for MAS controllability involve the entire set of agents. However, in practical scenarios, many MASs are massive in size, structure, and complexity, hence it is difficult and unnecessary to completely control the whole systems.…”

Controllability of multi‐agent systems under directed topology

“…Especially, tree graph was studied in , and necessary and sufficient conditions were proposed in terms of downer branch and subgraphs to characterize controllability. In addition, there are some other relevant results, for example, results on controllability were derived with respect to protocols design , heterogeneous dynamics , identification of topology structures , switching topology , time‐delay and structural controllability , and so on.…”

“…Most aforementioned results (except structural controllability e.g., , and so on) were concerned with controllability under undirected interaction topology, where information transmission and exchange among the agents are bidirectional and symmetrical. However, in practice, the underlying topology may be directional in most cases because of the interaction patterns, environment disturbances, the performance differences among agents, and so on.…”