Please use this identifier to cite or link to this item:

`http://localhost/handle/Hannan/526219`

Title: | Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks |

Authors: | Fardad, Mohammad ; Fu Lin ; Jovanovic, Mihailo R. |

subject: | electric admittance; interconnections; mathematical programming; mean square error methods; oscillators; synchronisation; interconnection links; mean-square deviation; optimal conductance network design; optimal conductance values; optimal sparse interconnection graph design; optimization problems; oscillator couplings; oscillator network synchronization; oscillator voltages; synchronization performance; Couplings; Equations; Linear matrix inequalities; Optimization; Oscillators; Sparse matrices; Synchronization; Consensus; convex relaxation; optimization; oscillator synchronization; reweighted <formula formulatype="inline"><tex Notation="TeX">$ell_{1}$</tex> </formula>minimization; semidefinite programming; sparse graph; |

Year: | 2014 |

Publisher: | IEEE |

Abstract: | We study the optimal design of a conductance network as a means for synchronizing a given set of oscillators. Synchronization is achieved when all oscillator voltages reach consensus, and performance is quantified by the mean-square deviation from the consensus value. We formulate optimization problems that address the tradeoff between synchronization performance and the number and strength of oscillator couplings. We promote the sparsity of the coupling network by penalizing the number of interconnection links. For identical oscillators, we establish convexity of the optimization problem and demonstrate that the design problem can be formulated as a semidefinite program. Finally, for special classes of oscillator networks we derive explicit analytical expressions for the optimal conductance values. |

Description: | Dept. of Electr. Eng. & Comput. Sci., Syracuse Univ., Syracuse, NY, USA |

URI: | http://localhost/handle/Hannan/239823 http://localhost/handle/Hannan/526219 |

ISSN: | 0018-9286 |

volume: | 59 |

issue: | 9 |

Appears in Collections: | 2014 |

Files in This Item:

File | Size | Format | |
---|---|---|---|

6716960.pdf | 1.1 MB | Adobe PDF |

Title: | Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks |

Authors: | Fardad, Mohammad ; Fu Lin ; Jovanovic, Mihailo R. |

subject: | electric admittance; interconnections; mathematical programming; mean square error methods; oscillators; synchronisation; interconnection links; mean-square deviation; optimal conductance network design; optimal conductance values; optimal sparse interconnection graph design; optimization problems; oscillator couplings; oscillator network synchronization; oscillator voltages; synchronization performance; Couplings; Equations; Linear matrix inequalities; Optimization; Oscillators; Sparse matrices; Synchronization; Consensus; convex relaxation; optimization; oscillator synchronization; reweighted <formula formulatype="inline"><tex Notation="TeX">$ell_{1}$</tex> </formula>minimization; semidefinite programming; sparse graph; |

Year: | 2014 |

Publisher: | IEEE |

Abstract: | We study the optimal design of a conductance network as a means for synchronizing a given set of oscillators. Synchronization is achieved when all oscillator voltages reach consensus, and performance is quantified by the mean-square deviation from the consensus value. We formulate optimization problems that address the tradeoff between synchronization performance and the number and strength of oscillator couplings. We promote the sparsity of the coupling network by penalizing the number of interconnection links. For identical oscillators, we establish convexity of the optimization problem and demonstrate that the design problem can be formulated as a semidefinite program. Finally, for special classes of oscillator networks we derive explicit analytical expressions for the optimal conductance values. |

Description: | Dept. of Electr. Eng. & Comput. Sci., Syracuse Univ., Syracuse, NY, USA |

URI: | http://localhost/handle/Hannan/239823 http://localhost/handle/Hannan/526219 |

ISSN: | 0018-9286 |

volume: | 59 |

issue: | 9 |

Appears in Collections: | 2014 |

Files in This Item:

File | Size | Format | |
---|---|---|---|

6716960.pdf | 1.1 MB | Adobe PDF |

Title: | Design of Optimal Sparse Interconnection Graphs for Synchronization of Oscillator Networks |

Authors: | Fardad, Mohammad ; Fu Lin ; Jovanovic, Mihailo R. |

subject: | electric admittance; interconnections; mathematical programming; mean square error methods; oscillators; synchronisation; interconnection links; mean-square deviation; optimal conductance network design; optimal conductance values; optimal sparse interconnection graph design; optimization problems; oscillator couplings; oscillator network synchronization; oscillator voltages; synchronization performance; Couplings; Equations; Linear matrix inequalities; Optimization; Oscillators; Sparse matrices; Synchronization; Consensus; convex relaxation; optimization; oscillator synchronization; reweighted <formula formulatype="inline"><tex Notation="TeX">$ell_{1}$</tex> </formula>minimization; semidefinite programming; sparse graph; |

Year: | 2014 |

Publisher: | IEEE |

Abstract: | We study the optimal design of a conductance network as a means for synchronizing a given set of oscillators. Synchronization is achieved when all oscillator voltages reach consensus, and performance is quantified by the mean-square deviation from the consensus value. We formulate optimization problems that address the tradeoff between synchronization performance and the number and strength of oscillator couplings. We promote the sparsity of the coupling network by penalizing the number of interconnection links. For identical oscillators, we establish convexity of the optimization problem and demonstrate that the design problem can be formulated as a semidefinite program. Finally, for special classes of oscillator networks we derive explicit analytical expressions for the optimal conductance values. |

Description: | Dept. of Electr. Eng. & Comput. Sci., Syracuse Univ., Syracuse, NY, USA |

URI: | http://localhost/handle/Hannan/239823 http://localhost/handle/Hannan/526219 |

ISSN: | 0018-9286 |

volume: | 59 |

issue: | 9 |

Appears in Collections: | 2014 |

Files in This Item:

File | Size | Format | |
---|---|---|---|

6716960.pdf | 1.1 MB | Adobe PDF |