Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 61, Issue 6, Pages 1625-1630Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2015.2476156
Keywords
Input-to-state stability; multistable systems; synchronization
Funding
- Government of Russian Federation [074-U01]
- Ministry of Education and Science of Russian Federation [14.Z50.31.0031]
- Regional Council of Nord-Pas de Calais, France
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In this note, we study a robust synchronization problem for multistable systems evolving on manifolds within an Input-to-State Stability (ISS) framework. Based on a recent generalization of the classical ISS theory to multistable systems, a robust synchronization protocol is designed with respect to a compact invariant set of the unperturbed system. The invariant set is assumed to admit a decomposition without cycles, that is, with neither homoclinic nor heteroclinic orbits. Numerical simulation examples illustrate our theoretical results.
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