Abstract
In this paper, motivated by a recent work 'Synchronization without periodicity (2013),' a robust global synchronization problem of multistable Brockett oscillators has been studied within an input-to-state stability framework. Two synchronization protocols are designed with respect to compact invariant sets of the unperturbed Brockett oscillator. The conditions obtained in our work are global and applicable to families of nonidentical oscillators in contrast to the local analysis presented in 'Mathematical Systems Theory, A Volume in Honor of U. Helmke.' Numerical simulation examples illustrate our theoretical results.
| Original language | English |
|---|---|
| Article number | 8309293 |
| Pages (from-to) | 289 - 298 |
| Number of pages | 10 |
| Journal | IEEE Transactions on Control of Network Systems |
| Volume | 6 |
| Issue number | 1 |
| Early online date | 8 Mar 2018 |
| DOIs | |
| Publication status | Published - Mar 2019 |
Bibliographical note
© 2018 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Keywords
- Synchronization
- Trajectory
- Asymptotic stability
- Numerical stability
- Robustness
- Stability analysis
- Oscillators
- Input-to-State Stability
- Brockett oscillator
- multistability
- synchronization
- input-to-state stability (ISS)
ASJC Scopus subject areas
- Control and Optimization
- Signal Processing
- Control and Systems Engineering
- Computer Networks and Communications