Input-to-State Stability for Discrete-Time Monotone Systems

@inproceedings{Rffer2014InputtoStateSF,
  title={Input-to-State Stability for Discrete-Time Monotone Systems},
  author={Bj{\"o}rn R{\"u}ffer and Rudolf Sailer},
  year={2014}
}
It is well known that input-to-state stability admits an astonishing number of equivalent characterizations. Here it is shown that for monotone systems on R+ there are some additional characterizations that are useful for network stability analysis. These characterizations include system theoretic properties, algebraic properties, as well as the problem of finding simultaneous bounds on solutions to a collection of inequalities. 
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