Nonlinear Dynamics. An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems (Nonlinear Dynam.) (20160101), 85, no.~3, 1561-1569. ISSN: 0924-090X (print).eISSN: 1573-269X.
Subject
34 Ordinary differential equations -- 34D Stability theory 34D20 Stability
93 Systems theory; control -- 93B Controllability, observability, and system structure 93B52 Feedback control
Summary: ``Computer worm is a worldwide threat to the safety of Internet, which caused billions of dollars in damages over the past decade. Software patches have been widely used as one of approaches to protect computers against computer worms. In this study, an impulsive state feedback model was employed to study the transmission of computer worm and the preventive effect of operating system patching. The existence of order-1 periodic solution and its stability were proved with a novel method. The results demonstrated that the application of software patches is an effective approach to constrain the deluge of computer worm. Numerical simulation results were presented to support the theoretical analysis.''