Stability of an asynchronous swarm with time-dependent communication links.

In this correspondence, we consider a simple model of N interacting agents with fixed or time-dependent communication links. We allow for asynchronous operation and time delays in the information flow. We show that the convergence of the states of the agents to a common value will be achieved, provided that old information is uniformly purged from the system.

Stability of a one-dimensional discrete-time asynchronous swarm.

In this correspondence, we consider a discrete time one-dimensional asynchronous swarm. First, we describe the mathematical model for motions of the swarm members. Then, we analyze the stability properties of that model.

Stability analysis of social foraging swarms.

In this article we specify an M-member "individual-based" continuous time swarm model with individuals that move in an n-dimensional space according to an attractant/repellent or a nutrient profile. The motion of each individual is determined by three factors: i) attraction to the other individuals on long distances; ii) repulsion from the other individuals on short distances; and iii) attraction to the more favorable regions (or repulsion from the unfavorable regions) of the attractant/repellent profile. The emergent behavior of the swarm motion is the result of a balance between inter-individual interactions and the simultaneous interactions of the swarm members with their environment.