Controllability and observability of linear time-invariant compartmental models

Swarm stability of linear time‐invariant descriptor compartmental networks

“…Proof: Assume that the system is asymptotically swarm stable but G has no spanning tree. Because G has no spanning tree, it must contain 2 k  different subgraphs 1 G , 2 G ,…,ˆk G , each receiving no information. Let 1 () t  and 2 () t  denote the consentaneous trajectories of the vertices associated with 1 G and 2 G , respectively.…”

Necessary and sufficient conditions for asymptotic swarm stability of high order swarm systems

“…A background of model (3) is compartmental system, which has been widely studied in biological, chemical and economic fields. A compartmental system [14] is a kind of swarm system comprised of interconnected agents called compartments, each containing some substance or information of interest, and the substance flows from neighbor to neighbor. A compartmental system being of d th order implies that the agents contain d different types of substance, where any type of substance may be transformed into other types during the flowing process.…”

Controllability Synthesis of Compartmental Networks with Single Leader

“…Wang et al [20] discussed the influence on controllability by different leader assignments and communication links. Ji et al [21] proposed conditions for network controllability, which are analogous to the early results in [5]. Liu et al [22] endeavored to explore the criterion of controllability for large-scale weighted complex networks from a multiple disciplinary background.…”

“…Scholars attempted to propose criteria to check controllability [1][2][3][4][5][6]. During recent years, as multi-agent systems greatly attract interests from scholars in the field of control theory, the consensus problems were mostly concerned [7][8][9][10][11][12], whereas few of the scholars have noticed the controllability problems.…”