Optimal control measures for a susceptible-carrier-infectious-recovered-susceptible malware propagation model

Purposing to lessen malware propagation, this paper proposes optimal control measures for a susceptible-carrier-infectious-recovered-susceptible (SCIRS) epidemiological model formed by a system of ordinary differential equations. By taking advantage of real-world data related to the number of reported cybercrimes in Japan from 2012 to 2017, an optimal control problem is formulated to minimize the number of infected devices in a cost-effective way. The existence and uniqueness of the results related to the optimality system are proved. Overall, numerical simulations show the usefulness of the proposed control strategies in reducing the spread of malware infections.- Fundação para a Ciência e Tecnologia, Grant/Award Number: UID/MAT/04106/2019 and UID/CEC/00319/201

Physiological cybernetics: Methods and applications

In this paper, it is discussed how physiological systems can be regulated by using the control theory as well as methodologies of system analysis, modeling, and identification. In physiology, the natural tendency to homeostasis, despite changes in the environments, implies a feedback-control scheme. The study of the natural regulation in physiological systems could help in its replacing when pathological situations are present. The basic concepts of homeostasis, modeling and control are here recalled, and some case studies are describe