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We give a sufficient condition for exponential stability of a network oflossless telegrapher's equations, coupled by linear time-varying boundaryconditions. The sufficient conditions is in terms of dissipativity of thecouplings, which is natural for instance in the context of microwave circuits.Exponential stability is with respect to any $L^p$-norm, $1\leq p\leq\infty$.This also yields a sufficient condition for exponential stability to a specialclass of linear time-varying difference delay systems which is quite explicitand tractable. One ingredient of the proof is that $L^p$ exponential stabilityfor such difference delay systems is independent of $p$, thereby reproving in asimpler way some results from [3].

Sufficient Stability Conditions for Time-varying Networks of Telegrapher's Equations or Difference Delay Equations