This paper is motivated by the problem of coordinating a group of autonomous agents with asynchronous, uncertain clocks. Timing uncertainty is commonly studied in networked control, but most work focuses on a single controller. Coordination problems also have a large literature, but the effect of uncertain, asynchronous timing is less understood. This paper studies multi-agent systems in which each agent has linear dynamics and a simple stochastic clock derived from a Poisson process. Necessary and sufficient conditions for stability are given based on linear matrix inequalities (LMIs). The analysis is then applied to networked control with random sampling times, as well as an asynchronous consensus protocol.
|Original language||English (US)|
|Number of pages||6|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Jan 1 2014|
|Event||2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States|
Duration: Dec 15 2014 → Dec 17 2014