摘要
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.
基金
Supported in part by the National Natural Science Foundation of China under Grant No. 61104140
the Fundamental Research Funds for the Central Universities (HUST: Grant No. 2011JC055)
the Research Fund for the Doctoral Program of Higher Education (RFDP) under Grant No. 20100142120023
the Natural Science Foundation of Hubei Province of China under Grant No. 2011CDB042
the Beijing Natural Science Foundation Program (1102016)
the Science and Technology Development Plan Project of Beijing Education Commission(No. KM201310009011)
Funding Project for Academic Human Resources Development in Institutions of Higher Learning Under the Jurisdiction of Beijing Municipality (PHR201108055)