On conditions of robust synchronization for multistable systems

Hafiz Ahmed; Rosane Ushirobira; Denis  Efimov; Wilfrid  Perruquetti

doi:10.1109/ECC.2015.7330543

On conditions of robust synchronization for multistable systems

Hafiz Ahmed, Rosane Ushirobira, Denis Efimov, Wilfrid Perruquetti

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding › peer-review

2 Citations (Scopus)

Abstract

This paper deals with a robust synchronization problem for multistable systems evolving on manifolds in the context of Input-to-State Stability (ISS) framework. Based on a recent generalization of classical ISS theory to multistable systems (may have unstable equilibrium), 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 (basically no homoclinic nor heteroclinic orbits may exist). Numerical simulation examples illustrate our theoretical results.

Original language	English
Title of host publication	Control Conference (ECC), 2015 European
Publisher	IEEE
DOIs	https://doi.org/10.1109/ECC.2015.7330543
Publication status	Published - 2015
Event	2015 European Control Conference - Linz, Austria Duration: 15 Jul 2015 → 17 Jul 2015

Conference

Conference	2015 European Control Conference
Abbreviated title	ECC
Country/Territory	Austria
City	Linz
Period	15/07/15 → 17/07/15

Keywords

Synchronization
Robustness
Stability analysis
Nonlinear systems
Numerical stability
Manifolds
Lyapunov methods

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10.1109/ECC.2015.7330543

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title = "On conditions of robust synchronization for multistable systems",

abstract = "This paper deals with a robust synchronization problem for multistable systems evolving on manifolds in the context of Input-to-State Stability (ISS) framework. Based on a recent generalization of classical ISS theory to multistable systems (may have unstable equilibrium), 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 (basically no homoclinic nor heteroclinic orbits may exist). Numerical simulation examples illustrate our theoretical results.",

keywords = "Synchronization, Robustness, Stability analysis, Nonlinear systems, Numerical stability, Manifolds, Lyapunov methods",

author = "Hafiz Ahmed and Rosane Ushirobira and Denis Efimov and Wilfrid Perruquetti",

year = "2015",

doi = "10.1109/ECC.2015.7330543",

language = "English",

booktitle = "Control Conference (ECC), 2015 European",

publisher = "IEEE",

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note = "2015 European Control Conference, ECC ; Conference date: 15-07-2015 Through 17-07-2015",

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TY - GEN

T1 - On conditions of robust synchronization for multistable systems

AU - Ahmed, Hafiz

AU - Ushirobira, Rosane

AU - Efimov, Denis

AU - Perruquetti, Wilfrid

PY - 2015

Y1 - 2015

N2 - This paper deals with a robust synchronization problem for multistable systems evolving on manifolds in the context of Input-to-State Stability (ISS) framework. Based on a recent generalization of classical ISS theory to multistable systems (may have unstable equilibrium), 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 (basically no homoclinic nor heteroclinic orbits may exist). Numerical simulation examples illustrate our theoretical results.

AB - This paper deals with a robust synchronization problem for multistable systems evolving on manifolds in the context of Input-to-State Stability (ISS) framework. Based on a recent generalization of classical ISS theory to multistable systems (may have unstable equilibrium), 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 (basically no homoclinic nor heteroclinic orbits may exist). Numerical simulation examples illustrate our theoretical results.

KW - Synchronization

KW - Robustness

KW - Stability analysis

KW - Nonlinear systems

KW - Numerical stability

KW - Manifolds

KW - Lyapunov methods

U2 - 10.1109/ECC.2015.7330543

DO - 10.1109/ECC.2015.7330543

M3 - Conference proceeding

BT - Control Conference (ECC), 2015 European

PB - IEEE

T2 - 2015 European Control Conference

Y2 - 15 July 2015 through 17 July 2015

ER -

On conditions of robust synchronization for multistable systems

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