2018
DOI: 10.1109/lcsys.2018.2845302
|View full text |Cite
|
Sign up to set email alerts
|

Synchronization of Networks of Piecewise-Smooth Systems

Abstract: We study convergence in networks of piecewisesmooth systems that commonly arise in applications to model dynamical systems whose evolution is affected by macroscopic events such as switches and impacts. Existing approaches were typically oriented towards guaranteeing global bounded synchronizability, local stability of the synchronization manifold, or achieving synchronization by exerting a control action on each node. Here we start by generalising existing results on QUAD (quadratic) systems to the case of pi… Show more

Help me understand this report
View preprint versions

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
9
0

Year Published

2019
2019
2024
2024

Publication Types

Select...
5
3

Relationship

1
7

Authors

Journals

citations
Cited by 19 publications
(9 citation statements)
references
References 27 publications
0
9
0
Order By: Relevance
“…In so doing, we build upon our previous results presented in [16], where, exploiting Filippov theory [25], conditions for global complete asymptotic synchronization are given in the case that the agents are PWS but also satisfy the QUAD…”
Section: Brief Overview Of the Previous Literaturementioning
confidence: 99%
See 2 more Smart Citations
“…In so doing, we build upon our previous results presented in [16], where, exploiting Filippov theory [25], conditions for global complete asymptotic synchronization are given in the case that the agents are PWS but also satisfy the QUAD…”
Section: Brief Overview Of the Previous Literaturementioning
confidence: 99%
“…assumption, employing only a linear diffusive coupling protocol. Specifically, we analyse the scenario that was only studied numerically in [16] where, in the more general case in which the node dynamics do not fulfil the QUAD assumption, a discontinuous coupling protocol is used to enforce synchronization.…”
Section: Brief Overview Of the Previous Literaturementioning
confidence: 99%
See 1 more Smart Citation
“…After the cited works of Pecora and coauthors, probably the most widely adopted and successful tools to infer convergence to, and/or stability of, a synchronized solution in networks of smooth dynamical systems has been that of the master stability function (MSF). However, as remarked in [6], this "approach requires some degree of smoothness in the agents' vector fields ... and extensions need to be found" when dealing with piecewise smooth systems. Our goal in this work is to provide such extension.…”
Section: Introductionmentioning
confidence: 99%
“…I N the last few decades most of the works on synchronization control in complex networks have focused on the problem of steering the network towards a collective state shared by all the units. Such a synchronized state has been obtained by means of techniques ranging from pinning control [1], [2] to adaptive strategies [3], discontinuous coupling [4], stochastic broadcasting [5] and impulsive control [6]. Other studies have focused on the control of a more structured state where the units split into clusters of synchronized nodes, and each one of these groups follows a different trajectory [7]- [12].…”
Section: Introductionmentioning
confidence: 99%