English

Remarks on random dynamical systems with inputs and outputs and a small-gain theorem for monotone RDS

Systems and Control 2013-01-01 v2 Optimization and Control

Abstract

This note introduces a new notion of random dynamical system with inputs and outputs, and sketches a small-gain theorem for monotone systems which generalizes a similar theorem known for deterministic systems.

Keywords

Cite

@article{arxiv.1207.1690,
  title  = {Remarks on random dynamical systems with inputs and outputs and a small-gain theorem for monotone RDS},
  author = {Michael Marcondes de Freitas and Eduardo D. Sontag},
  journal= {arXiv preprint arXiv:1207.1690},
  year   = {2013}
}

Comments

Revision corrects several small errors and clarifies role of tempered convergence