# Resilience of Complex Networks

## TL;DR

This paper investigates the minimal number of actuators needed to maintain controllability in complex networks despite structural disruptions, proposing an efficient method validated on power network models.

## Contribution

It introduces a novel system-synthesis approach to determine the minimal additional actuators for resilient controllability under structural changes.

## Key findings

- Method effectively identifies minimal actuators for resilience.
- Validated approach on IEEE power networks.
- Ensures structural controllability despite network alterations.

## Abstract

This article determines and characterizes the minimal number of actuators needed to ensure structural controllability of a linear system under structural alterations that can severe the connection between any two states. We assume that initially the system is structurally controllable with respect to a given set of controls, and propose an efficient system-synthesis mechanism to find the minimal number of additional actuators required for resilience of the system w.r.t such structural changes. The effectiveness of this approach is demonstrated by using standard IEEE power networks.