Controllability of discrete-time multi-agent systems with multiple leaders on fixed networks. (English) Zbl 1264.68188

Liu, Bo; Hu, Wei-Na; Zhang, Jie; Su, Hou-Sheng

Commun. Theor. Phys. 58, No. 6, 856-862 (2012).

Summary: This paper investigates controllability of discrete-time multi-agent systems with multiple leaders on fixed networks. The leaders are particular agents playing a part in external inputs to steer other member agents. The followers can arrive at any predetermined configuration by regulating the behaviors of the leaders. Some sufficient and necessary conditions are proposed for the controllability of discrete-time multi-agent systems with multiple leaders. Moreover, the case with isolated agents is discussed. Numerical examples and simulations are proposed to illustrate the theoretical results we established.

MSC:

68T42	Agent technology and artificial intelligence
93B05	Controllability
90B18	Communication networks in operations research
68U20	Simulation (MSC2010)

Keywords:

multi-agent systems; fixed topology; controllability; controllable matrix