case of1-Dsmartantennasarray: a passivity analysis approach.
Sandrine NMOREAUt · 2007
Inthispaper,networksofoscillators arestud- iedinthecaseof1-D antennasarray.Eachoscillator of thenetwornkisassociated to anuantenna.Inthiscase,time delaysareintroduced betweenoscillator outputsinorder tomodifythespatial gainoftheantennaarray.The unidi- rectionally couplednetworkhasnotbeinvestigated insmart antennaarray.Firstly, thestructure isproposedwithhyper- frequency elementsandsecondly, a new analysis toolispre- sentedtostudythestability. The delayeffects on thenet- worksynchronization aretackled anditisassumedthatthe parametersoftheoscillators areina polytope. UsingLya- punovmethodsandLMI (Linear matrixinequality) frame- workandthedissipativity theory, a new condition isgiven toensureglobalexponential synchronization. A validation ismade insimulation withMatlab.