期刊
AUTOMATICA
卷 44, 期 12, 页码 3100-3106出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2008.05.006
关键词
Synchronization; Pinning-controllability; Graphs; Global stability
资金
- National Science Foundation via [CMMI-0745753]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0745753] Funding Source: National Science Foundation
In this paper, we study pinning-controllability of networks of coupled dynamical systems. in particular, we study the problem of asymptotically driving a network of coupled identical oscillators onto some desired common reference trajectory by actively controlling only a limited subset of the whole network. The reference trajectory is generated by an exogenous independent oscillator, and pinned nodes are coupled to it through a linear state feedback. We describe the time evolution of the complex dynamical system in terms of the error dynamics. Thereby, we reformulate the pinning-controllability problem as a global asymptotic stability problem. By using Lyapunov-stability theory and algebraic graph theory, we establish tractable sufficient conditions for global pinning-controllability in terms of the network topology, the oscillator dynamics, and the linear state feedback. (C) 2008 Elsevier Ltd. All rights reserved.
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