期刊
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
卷 63, 期 4, 页码 1213-1219出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2017.2789244
关键词
Lyapunov stability; multi-agent systems; synchronization; lyapunov methods
资金
- ANR Project LIMICOS [12BS0300501]
Based on recent works on transverse exponential stability, we establish some necessary and sufficient conditions for the existence of a (locally) exponential synchronizing control law. We show that the existence of a structured synchronizer is equivalent to the existence of a stabilizer for the individual linearized systems (on the synchronization manifold) by a linear state feedback. This, in turn, is also equivalent to the existence of a symmetric covariant tensor field, which satisfies a control matrix function inequality. Based on this result, we provide the construction of such a synchronizer via backstepping approach. In some particular cases, we show how global exponential synchronization may be obtained.
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