In this article we consider a discrete time one-dimensional asynchronous swarm. First, we describe the mathematical model for motions of the swarm members.

Our swarm model and stability analysis are different from other asynchronous swarm models considered in the literature. In particular, in our analysis we employ ...

This correspondence considers a discrete time one-dimensional asynchronous swarm, and describes the mathematical model for motions of the swarm members and ...

The stability concept that is considered, which matches exactly with stability of equilibria in control theory, characterizes stability of a particular ...

Swarm “cohesiveness” is characterized as a stability property. Conditions for one-dimensional asynchronous swarms to achieve collision-free convergence even in ...

The simplest case which can be considered in a discrete-time setting is the case in which a swarm moves in one-dimensional space.

The authors prove asymptotic convergence under total asynchronism conditions and finite time convergence under partial asynchronism conditions (i.e., total ...

In this correspondence, we consider a discrete time one-dimensional asynchronous swarm. First, we describe the mathematical model for motions of the swarm ...

Our study uses a discrete time discrete event dynamical system [21] approach and unlike the studies of platoon stability in intelligent transportation ...

Swarm "cohesiveness" is characterized as a stability property. Conditions for one-dimensional asynchronous swarms to achieve collision-free convergence even in ...