Optimal Impulsive Control of Epidemic Spreading of Heterogeneous Malware
Tài liệu tham khảo
Agur, 1993, Pulse mass measles vaccination across age cohorts, Proceedings of the National Academy of Sciences of the United States of America, 90, 11698, 10.1073/pnas.90.24.11698
Altman, E., Khouzani, M., Sarkar, S. Optimal control of epidemic evolution. Proceedings of INFOCOM., 1683— 1691, 2011.
Atzori L, Iera A, Morabito G. The internet of things: A survey. Computer networks. Oct. 28, 2010; 54(15):2787-805.
Beutel, A., Faloutsos, C., Prakash, B., Rosenfeld, R.Inter-acting Viruses in Networks: Can Both Survive?Proceedings of KDD-2012., 426—434, 2012.
Blaquière, 1985, Impulsive Optimal Control with Finite or Infinite Time Horizon, Journal Of Optimization Theory And Applications., 46, 10.1007/BF00939148
Chahim, 2012, A tutorial on the deterministic Impulse Control Maximum Principle: Necessary and sufficient optimality conditions, European Journal of Operational Research, 219, 18, 10.1016/j.ejor.2011.12.035
Dykhta, 2009, A maximum principle for smooth optimal impulsive control problems with multipoint state constraints, Computational Mathematics and Mathematical Physics., 49, 942, 10.1134/S0965542509060050
Gubar, E., Zhu, Q.Optimal Control of Influenza Epidemic Model with Virus Mutations. Proceedings 12th Biannual European Control Conference. IEEE Control Systems Society. 3125—3130, 2013.
Leander R., Lenhart S. and Vladimir Protopopescu V. Optimal control of continuous systems with impulse controls. Optimal Control Applications and Methods Optim. Control Appl. Meth., 36:—549, 2015.
Luo X, Liao Q. Ransomware: A new cyber hijacking threat to enterprises. Handbook of research on information security and assurance. 2009:1-6.
Moore, D., Shannon, C. Code-Red: a Case Study on the Spread and Victims of an Internet Worm. Proceedings of the 2002 ACM SICGOMM Internet Measurement Workshop. 273–284, 2002.
Newman L., H., What we know about Friday’s massive east coast Internet outage, Wired Magazine, Oct. 21, 2016, https://www.wired.com/2016/10/internet-outage-ddos-dns-dyn/.
Sethi, S.P., Thompson, G.L. Optimal Control Theory: Applications to Management Science and Economics. Springer, Berlin, 2006.
Taynitskiy, V.A., Gubar, E.A., Zhitkova, E.M. Structure of optimal control in the model of propagation of two malicious softwares. Proceedings of International conference ”Stability and Control Processes” in memory of V.I. Zubov (SCP)., 261—264, 2015.
Taynitskiy, 2016, Optimization of protection of computer networks against malicious software, Proc. of International Conference ”Stability and Oscillations of Nonlinear Control Systems”, (Pyatnitskiy’s Conference)
Vespignani, A., Pastor-Satorras, R. Epidemic Spreading in Scale-Free Networks. Physical Review Letters., 86, 3200—3203, 2001.
Wu, Q., Small, M., Liu, H. Superinfection Behaviors on Scale-Free Networks with Competing Strains. Journal of Nonlinear Science., 23, 113—127, 2013.
Zaccour, G., Reddy, P., Wrzaczek, S.Quality effects in different advertising models - An impulse control approach. European Journal of Operational Research., 255, 984—995, 2016.