期刊
IEEE CONTROL SYSTEMS LETTERS
卷 2, 期 3, 页码 321-326出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2018.2833621
关键词
Optimal control; linear systems; timevarying systems; sparse optimal control; networked control systems
资金
- JSPS KAKENHI [26289130]
In this letter, we consider the maximization of a quantitative metric of controllability with a constraint of L-0 norm of the control input. Since the optimization problem contains a combinatorial structure, we introduce a convex relaxation problem for the sake of reducing computation burden. We prove the existence of solutions to the main problem and also give a simple condition under which the relaxed problem gives a solution to the main problem. It should be emphasized that the main problem can formulate time-varying control node selection, which attempts to extract when and where exogenous inputs should be provided in order to achieve high controllability of multi-agent systems.
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