Malware Diffusion Models for Modern Complex Networks

C.3. Finding Trajectories that Minimize Performance Measures

The problem classes presented in this section provide characteristic methodologies that can be exploited in broader optimal control problems, some of which have been exploited in this book. The rest can be used in various extensions to the study of intelligent attack strategies. In general, the Fundamental Theorem of Calculus of Variations can be exploited in optimal control theory for finding trajectories that minimize performance measures expressed as functionals. This is also the case in the corresponding modeling of malware diffusion in Chapter 6 and potential extensions to attack strategies.

C.3.1. Functionals of a Single Function

When the performance metric is a function of a single ...