Robust Synchronisation of Heterogeneous Networks Via Integral Quadratic Constraints
(2014) 22nd Mediterranean Conference on Control and Automation Abstract
 A general framework for the study of robust synchronisation in largescale networks is provided. Agents are represented as a common nominal linear timeinvariant (LTI) singleinputsingleoutput (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve outputsynchronisation, namely steer their outputs to the same, possibly timevarying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust... (More)
 A general framework for the study of robust synchronisation in largescale networks is provided. Agents are represented as a common nominal linear timeinvariant (LTI) singleinputsingleoutput (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve outputsynchronisation, namely steer their outputs to the same, possibly timevarying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust synchronisation of the systems. Since the IQC theory is nominally applied to openloop stable systems, the main idea is to introduce a new space of signals with respect to which the notion of feedback stability implies that of synchronisation under appropriate assumptions on the interconnection operator. The proposed criterion unifies and extends several results in the literature. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/4739158
 author
 Khong, Sei Zhen ^{LU} and Lovisari, Enrico ^{LU}
 organization
 publishing date
 2014
 type
 Contribution to conference
 publication status
 published
 subject
 conference name
 22nd Mediterranean Conference on Control and Automation
 external identifiers

 Scopus:84916897091
 language
 English
 LU publication?
 yes
 id
 7828bdbe42c34bca90d13724a641966d (old id 4739158)
 date added to LUP
 20141109 18:14:23
 date last changed
 20161013 04:54:59
@misc{7828bdbe42c34bca90d13724a641966d, abstract = {A general framework for the study of robust synchronisation in largescale networks is provided. Agents are represented as a common nominal linear timeinvariant (LTI) singleinputsingleoutput (SISO) system with simple poles on the imaginary axis, subject to LTI SISO stable multiplicative perturbations. The agents exchange information in order to achieve outputsynchronisation, namely steer their outputs to the same, possibly timevarying, signal. Such an information exchange is modeled through a sparse dynamical operator that maps the outputs of the agents into their inputs. The theory of integral quadratic constraints is used to capture the structural uncertainties of the perturbations, and to give certificates for robust synchronisation of the systems. Since the IQC theory is nominally applied to openloop stable systems, the main idea is to introduce a new space of signals with respect to which the notion of feedback stability implies that of synchronisation under appropriate assumptions on the interconnection operator. The proposed criterion unifies and extends several results in the literature.}, author = {Khong, Sei Zhen and Lovisari, Enrico}, language = {eng}, title = {Robust Synchronisation of Heterogeneous Networks Via Integral Quadratic Constraints}, year = {2014}, }