Dynamics of a controlled discontinuous computer worm system
Wenjie Li, Jinchen Ji, Lihong Huang
Abstract
This paper studies the dynamic behaviour of a computer worm system under a discontinuous control strategy. Some conditions for globally asymptotically stable solutions of the discontinuous system are obtained by using the Bendixson–Dulac theorem, Green’s formula, and the Lyapunov function. It is found that the solutions of the controlled computer worm system can converge to either of two local equilibrium points or the sliding equilibrium point on the discontinuous surface. It is shown that a threshold control strategy can effectively control the spread of computer viruses. The research results may be applicable to control other types of virus systems.
Topics & Concepts
Lyapunov functionEquilibrium pointStability theoryControl theory (sociology)Function (biology)Computer scienceDynamics (music)Computer virusControl (management)MathematicsMathematical analysisPhysicsArtificial intelligenceDifferential equationEvolutionary biologyBiologyNonlinear systemQuantum mechanicsAcousticsComputer securityNetwork Security and Intrusion DetectionMathematical and Theoretical Epidemiology and Ecology ModelsArtificial Immune Systems Applications