Stability of a one-dimensional discrete-time asynchronous swarm

@article{Gazi2005StabilityOA,
  title={Stability of a one-dimensional discrete-time asynchronous swarm},
  author={Veysel Gazi and Kevin M. Passino},
  journal={IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics)},
  year={2005},
  volume={35},
  pages={834-841}
}
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. The stability concept that we consider, which matches exactly with stability of equilibria in control theory, characterizes stability of a particular position (relative arrangement) of the swarm members. We call that position the comfortable position (with comfortable… CONTINUE READING
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