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Robust Almost Global Splay State Stabilization of Pulse Coupled Oscillators.
- Source :
-
IEEE Transactions on Automatic Control . Jun2017, Vol. 62 Issue 6, p3083-3090. 8p. - Publication Year :
- 2017
-
Abstract
- This paper deals with the problem of asymptotically stabilizing the splay state configuration of a network of identical pulse coupled oscillators through the design of the their phase response function. The network of pulse coupled oscillators is modeled as a hybrid system. The design of the phase response function is performed to achieve almost global asymptotic stability of a set, wherein oscillators’ phases are evenly distributed on the unit circle. To establish such a result, a novel Lyapunov function is proposed. Robustness with respect to frequency perturbation is assessed. Finally, the effectiveness of the proposed methodology is shown in an example. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 62
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 123392434
- Full Text :
- https://doi.org/10.1109/TAC.2017.2677740