Optimal Control of Networks in the presence of Attackers and Defenders
Provides a theoretical framework for optimal defense in networked control systems, relevant for cybersecurity and infrastructure protection.
This paper formulates the optimal defense strategy for dynamical networks under external attacks as an optimal control problem, deriving solutions that depend on network topology and the placement of attackers and defenders. The analysis across chain, star, ring, and scale-free networks shows how these factors influence control energy.
We consider the problem of a dynamical network whose dynamics is subject to external perturbations (`attacks') locally applied at a subset of the network nodes. We assume that the network has an ability to defend itself against attacks with appropriate countermeasures, which we model as actuators located at (another) subset of the network nodes. We derive the optimal defense strategy as an optimal control problem. We see that the network topology, as well as the distribution of attackers and defenders over the network affect the optimal control solution and the minimum control energy. We study the optimal control defense strategy for several network topologies, including chain networks, star networks, ring networks, and scale free networks.