Some Results on Exponential Synchronization of Nonlinear SystemsAndrieu, V., Jayawardhana, B. & Tarbouriech, S., Apr-2018, In : IEEE Transactions on Automatic Control. 63, 4, p. 1213-1219 7 p.
Research output: Contribution to journal › Article › Academic › peer-review
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.
|Number of pages||7|
|Journal||IEEE Transactions on Automatic Control|
|Early online date||3-Jan-2018|
|Publication status||Published - Apr-2018|
- Lyapunov stability, multi-agent systems, synchronization, lyapunov methods, OUTPUT SYNCHRONIZATION, COORDINATION