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Nonmonotonic-Based Congestion Control Schemes for a Delayed Nonlinear Network

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Abstract

In this paper, buffer dynamic modeling for wireless sensor networks as a highly nonlinear system is accomplished in discrete time, different subsystems are achieved based on delay, and the overall model is gained by blending them. According to nonlinear dynamics point of view, considering delay in the analysis of congestion control schemes is of paramount importance. In this paper, an adaptive back-off interval selection works with the proposed robust controller. Based on queue utilization and channel estimation algorithm, congestion is detected and a suitable rate is selected by adaptive back-off interval selection. An augmented form of our proposed system is utilized for controller synthesis. A new approach is proposed for controller synthesis based on non-quadratic and common quadratic Lyapunov candidates where the former is generalized to be more relaxed. Also, the monotonicity requirement of Lyapunov’s theorem is relaxed. The closed-loop systems are globally asymptotically stable in case of delay changes resulted from queue size changes. Extended simulation results confirm the effectiveness of our proposed schemes.

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Acknowledgement

The authors gratefully acknowledge the financial and other support of this research, provided by the Islamic Azad university Islamshahr branch, Islamshahr, Iran.

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Authors and Affiliations

  1. Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran

    Shoorangiz Shams Shamsabad Farahani

  2. Adaptive System Department, Institute of Information Theory and Automation of the Czech Academy of Science, Prague, Czech Republic

    Siavash Fakhimi Derakhshan

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  1. Shoorangiz Shams Shamsabad Farahani
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  2. Siavash Fakhimi Derakhshan
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Correspondence to Shoorangiz Shams Shamsabad Farahani.

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Farahani, S.S.S., Derakhshan, S.F. Nonmonotonic-Based Congestion Control Schemes for a Delayed Nonlinear Network. Circuits Syst Signal Process 39, 154–174 (2020). https://doi.org/10.1007/s00034-019-01187-x

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