  In this paper we present a feedback approach to the design of an attack
mitigation policy for DAG-based Distributed Ledgers. We develop a model to
analyse the behaviour of the ledger under the so called Tips Inflation Attack
and we design a control strategy to counteract this attack strategy. The
efficacy of this approach is showcased through a theoretical analysis, in the
form of two theorems about the stability properties of the ledger with and
without the controller, and extensive Monte Carlo simulations of an agent-based
model of the distributed ledger.
