Research Projects

This proposal aims to design the topology of networked control systems to make them more resilient against potential attackers. The network topology is embedded in the system matrix A of a discrete-time linear dynamical system x(k+1) = A*x(k) and the stability of the system is dependent on the eigenvalues of A. An attacker aims to destabilize the system by modifying the matrix A, and the minimum perturbation required to destabilize the system is called the stability radius. The goal is to design the matrix A such that is has a pre-specified level of stability radius, and is therefore, inherently resilient. PIs will formulate this objective as a constrained optimization problem, which is non-convex and difficult to solve. We will explore methods to relax this problem to a related convex problem and propose efficient methods to solve it.