### Abstract

Language | English |
---|---|

Pages | 198-204 |

Number of pages | 7 |

Journal | IFAC-PapersOnLine |

Volume | 51 |

Issue number | 33 |

DOIs | |

State | Published - 2018 |

### Keywords

- Partial synchronization
- linear parameter-varying systems
- time-delay systems
- linear matrix inequalities

### Cite this

*IFAC-PapersOnLine*,

*51*(33), 198-204. DOI: 10.1016/j.ifacol.2018.12.094

}

*IFAC-PapersOnLine*, vol. 51, no. 33, pp. 198-204. DOI: 10.1016/j.ifacol.2018.12.094

**A Lyapunov approach to stability analysis of partial synchronization in delay-coupled networks.** / Su, Libo; Wei, Yanling; Michiels, Wim; Steur, Erik; Nijmeijer, Henk.

Research output: Contribution to journal › Conference article › Academic › peer-review

TY - JOUR

T1 - A Lyapunov approach to stability analysis of partial synchronization in delay-coupled networks

AU - Su,Libo

AU - Wei,Yanling

AU - Michiels,Wim

AU - Steur,Erik

AU - Nijmeijer,Henk

PY - 2018

Y1 - 2018

N2 - Networks of interconnected dynamical systems may exhibit a so-called partial synchronization phenomenon, which refers to synchronous behaviors of some but not all of the systems. The patterns of partial synchronization are often characterized by partial synchronization manifolds, which are linear invariant subspace of the state space of the network dynamics. Here, we propose a Lyapunov-Krasovskii approach to analyze the stability of partial synchronization manifolds in delay-coupled networks. First, the synchronization error dynamics are isolated from the network dynamics in a systematic way. Second, we use a parameter-dependent Lyapunov-Krasovskii functional to assess the local stability of the manifold, by employing techniques originally developed for linear parameter-varying (LPV) time-delay systems. The stability conditions are formulated in the form of linear matrix inequalities (LMIs) which can be solved by several available tools.

AB - Networks of interconnected dynamical systems may exhibit a so-called partial synchronization phenomenon, which refers to synchronous behaviors of some but not all of the systems. The patterns of partial synchronization are often characterized by partial synchronization manifolds, which are linear invariant subspace of the state space of the network dynamics. Here, we propose a Lyapunov-Krasovskii approach to analyze the stability of partial synchronization manifolds in delay-coupled networks. First, the synchronization error dynamics are isolated from the network dynamics in a systematic way. Second, we use a parameter-dependent Lyapunov-Krasovskii functional to assess the local stability of the manifold, by employing techniques originally developed for linear parameter-varying (LPV) time-delay systems. The stability conditions are formulated in the form of linear matrix inequalities (LMIs) which can be solved by several available tools.

KW - Partial synchronization

KW - linear parameter-varying systems

KW - time-delay systems

KW - linear matrix inequalities

UR - http://www.scopus.com/inward/record.url?scp=85059150541&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2018.12.094

DO - 10.1016/j.ifacol.2018.12.094

M3 - Conference article

VL - 51

SP - 198

EP - 204

JO - IFAC-PapersOnLine

T2 - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 33

ER -