Stability of a Circular System with Multiple Asymmetric Laplacians
|Title||Stability of a Circular System with Multiple Asymmetric Laplacians|
|Publication Type||Conference Paper|
|Year of Publication||2015|
|Authors||Herman, Ivo, Dan Martinec, J. J. P. Veerman, and Michael Šebek|
|Conference Location||Philadelphia, PA, USA|
We consider an asymptotic stability of a circular system where the coupling Laplacians are dierent for each state used for synchronization. It is shown that there must be a symmetric coupling in the output state to guarantee the stability for agents with two integrators in the open loop. Systems with agents having three or more integrators cannot be stabilized by any coupling. In addition, recent works in analysis of a scaling in vehicular platoons relate the asymptotic stability of a circular system to a string stability. Therefore, as conrmed by simulations in the paper, our results have an application also in path graphs.
5th IFAC Workshop on Estimation and Control of Networked Systems (NecSys)