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Continuous-time consensus with discrete-time communication Jo~ao Almeida, Carlos Silvestre, Antonio M. Pascoal, and Panos J. Antsaklis
 

Summary: Continuous-time consensus with discrete-time communication
Jo~ao Almeida, Carlos Silvestre, Ant´onio M. Pascoal, and Panos J. Antsaklis
Abstract-- Consider a group of agents, each one having its
one node variable, that seek to agree on a common value. The
node variables are required to be continuous functions of time.
The agents are allowed to exchange information among each
other but only at specified update times. The topology of the
underlying communication graph can change over time and
the information received from other agents might be outdated.
Our proposed solution includes an extra variable for each
agent that is updated instantaneously at update times. Between
update times, both variables, node and extra, evolve in a smooth
manner. The stability analysis reduces to the study of a discrete-
time equivalent of the continuous-time system and the use of
previously established discrete-time consensus results to prove
convergence.
I. INTRODUCTION
Analyzing how groups of agents exhibit complex global
behaviors by applying simple local rules, is a topic that has
attracted a lot of attention in recent years in many scientific

  

Source: Antsaklis, Panos - Department of Electrical Engineering, University of Notre Dame

 

Collections: Engineering