Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay

Xiaojuan Chen; Jun Zhang; Tiedong Ma

Volume 3 Issue 3

Jul. 2016

IEEE/CAA Journal of Automatica Sinica

JCR Impact Factor: 15.3, Top 1 (SCI Q1)

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Article Navigation > IEEE/CAA Journal of Automatica Sinica > 2016 > 3(3): 295-303

Xiaojuan Chen, Jun Zhang and Tiedong Ma, "Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 295-303, 2016.

Citation:

Xiaojuan Chen, Jun Zhang and Tiedong Ma, "Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 295-303, 2016.

Citation:

Xiaojuan Chen, Jun Zhang and Tiedong Ma, "Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 3, pp. 295-303, 2016.

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Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay

1. Department of Automobile Engineering, Chongqing College of Electronic Engineering, Chongqing 401331, China;
2. College of Automation, Chongqing University, Chongqing 400044, China

Funds:

This work was supported by the Basic and Frontier Research Project of Chongqing (cstc2013jcyjA70006, cstc2015jcyjA40038).

Abstract

Abstract

Complex networks have attracted much attention from various fields of sciences and engineering in recent years. However, many complex networks have various uncertain information, such as unknown or uncertain system parameters and topological structure, which greatly affects the system dynamics. Thus, the parameter estimation and structure identification problem has theoretical and practical importance for uncertain complex dynamical networks. This paper investigates identification of unknown system parameters and network topologies in uncertain fractional-order complex network with time delays (including coupling delay and node delay). Based on the stability theorem of fractional-order differential system and the adaptive control technique, a novel and general method is proposed to address this challenge. Finally two representative examples are given to verify the effectiveness of the proposed approach.
- Complex networks,
- fractional-order,
- parameter estimation,
- structure identification,
- time delay

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References

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Parameter Estimation and Topology Identification of Uncertain General Fractional-order Complex Dynamical Networks with Time Delay

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