PD controller design method based on malicious software space-time propagation model

Abstract

The invention relates to a PD controller design method based on a malicious software space-time propagation model, which comprises the following steps of: 1, introducing time lag and reaction diffusion terms on the basis of a malicious software propagation model, and establishing a partial differential malicious software space-time propagation model with a nonlinear saturation incidence rate; 2, a PD controller is applied to the malicious software space-time propagation model in the uncontrolled state at the balance point, and a malicious software space-time propagation controlled model is obtained; 3, linearizing the obtained controlled model at a balance point to obtain a related characteristic equation; and 4, selecting time lag as a bifurcation parameter, and performing stability analysis and Hopf bifurcation analysis on the malicious software space-time propagation controlled model. And finally, proper controller parameters are selected, and the influence of the controller on the system is verified through simulation. According to the method, the position of the bifurcation point can be effectively controlled, the influence on the control item is obvious, the control effect is obvious, and the harm of malicious software propagation is effectively reduced.

Description

technical field [0001] The invention relates to the technical field of controllers, in particular to a design method of a PD controller based on a malware spatiotemporal propagation model. Background technique [0002] With the popularity of computer technology, malware is undoubtedly its most deadly unstable factor. The spread of malware among computer nodes has many similarities with the spread of infectious diseases in the population, so many scholars use the same method to mathematically model the two and conduct related dynamic analysis, while most of the information about malware The propagation models of all stay in the time domain. In fact, the spread of malware not only evolves over time, but is also affected by its spatial distribution. The introduction of the reaction-diffusion term can well describe the spread of malware in the spatial domain, making the established spatiotemporal propagation model more realistic. [0003] Adding control strategies based on th...

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However, the existing related research is limited to the time-delay feedback contr

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