International Conference “Mathematical Modeling and Computational Physics, 2017” (MMCP2017)

Finding the spectral characteristics for systems with control

7 Jul 2017, 15:00

15m

Computer Algebra and Quantum Computing with Applications (II)

Speaker

Dr Dmitry Kulyabov (PFUR & JINR)

Description

We are studying the process of global synchronization in systems with control. As a control system, we study the continuous model of the active control module of the type RED [1-3]. We apply the method of harmonic linearization. To simplify the model, we applied the following: the model is written in moments; The model describes only the phase of avoiding overloading of the TCP Reno protocol; In the model, only the reset is considered when obtaining 3 consecutive ACK acknowledgments. To determine the region of occurrence of auto-oscillations, we use the Routh-Hurwitz criterion, and to determine the self-oscillation parameters, the Mikhailov criterion. Next, we use the Fast Fourier Transform method to obtain the spectral characteristic. Verify the model with NS2.

Short biography note

1.Misra Vishal, Gong Wei-Bo, Towsley Don. Stochastic Differential Equation Modeling and Analysis of TCP-Windowsize Behavior // Proceedings of PERFORMANCE. — 1999. — Vol. 99.
2.Hollot C. V. V., Misra Vishal, Towsley Don, Wei-Bo Gong. On Designing Improved Controllers for AQM Routers Supporting
TCP Flows // Proceedings IEEE INFOCOM 2001. Conference on Computer Communications. Twentieth Annual Joint Conference of the IEEE Computer and Communications Society (Cat. No.01CH37213). — Vol. 3. — IEEE, 2001. — P. 1726–1734.
3.Korolkova Anna Vladislavovna, Velieva Tatyana Refatovna, Abaev Pavel Avanesovich et al. Hybrid Simulation Of Active Traffic Management // Proceedings 30th European Conference on Modelling
and Simulation. — 2016. — jun. — P. 685–691.

Presentation materials

Slides

mmcp-2017-red-linearization_english.pdf