Some Results on Exponential Synchronization of Nonlinear Systems

Andrieu, V., Jayawardhana, B. & Tarbouriech, S., Apr-2018, In : IEEE Transactions on Automatic Control. 63, 4, p. 1213-1219 7 p.

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  • Some Results on Exponential Synchronization

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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.

Original languageEnglish
Pages (from-to)1213-1219
Number of pages7
JournalIEEE Transactions on Automatic Control
Issue number4
Early online date3-Jan-2018
Publication statusPublished - Apr-2018


  • Lyapunov stability, multi-agent systems, synchronization, lyapunov methods, OUTPUT SYNCHRONIZATION, COORDINATION

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