Abstract: This paper investigates the reduced-order observer-based containment control problems of general linear multi-agent systems (MASs) with multiple interaction leaders. Assuming that (A, B, C) is stabilizable and detectable and the directed graph is weakly connected, we establish the necessary and sufficient containment control criteria for continuous-time MASs and discrete-time MASs, respectively. Our main results show that the eigenvalues of the Laplacian matrix, the communication topology graph, the selection of protocol parameters and gain matrices play an important role in the achievement of containment control. Finally, numerical simulations are given to illustrate our main results.
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WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 8, 2013
Fang Yan, Dongmei Xie, "Reduced-Order Observer-based Containment Control of General Linear Multi-agent Systems With Multiple Interaction Leaders," WSEAS Transactions on Systems and Control, vol. 8, pp. -, 2013, DOI:
Fang Yan, Dongmei Xie. Reduced-Order Observer-based Containment Control of General Linear Multi-agent Systems With Multiple Interaction Leaders.
WSEAS Transactions on Systems and Control. 2013;8:-.