Optimal control of networks in the presence of attackers and defenders
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- May 01, 2018
- Source ID
- 10.1063/1.5030899
Entities
People
- Afroza Shirin
- Francesco Sorrentino
- Isaac Klickstein
- Ishan Kafle
- Pankaz Das
- Sudarshan Bartaula
Organizations
- Defense Threat Reduction Agency
- National Science Foundation
- Office of Naval Research
- University of New Mexico