Uncertainty Quantification of Group Synchronization and Control of a New Class of Adaptive Complex Dynamical Network with Brownian Motion and Time-varying Delay
This paper investigates the Uncertainty Quantification (UQ) of Group Mean Square Synchronization (GMSS) for a new class of Complex Dynamical Network (CDN) with interval Time-varying Delays (TVD) and Limited Stochastic Perturbation (LSP).Based on the control theory and Stochastic Collocation (SC) method,we have studied the robustness of the control algorithm with respect to the value of the final time.To that end,we assumed a normal distribution for time and used the SC method 1 with different values of nodes n collocation points Ti to quantify the sensitivity.These results show that the synchronization errors are close to zero with a high probability and confirm for different number of nodes.Finally,some examples with different structure chaotic systems and their numerical simulation results are presented to demonstrate the theoretical analysis.Therefore,the conclusion of this study is that the accuracy of the synchronization and control algorithm is robust to variations of time.
Uncertainty Quantification (UQ) Group Mean Square Synchronization (GMSS) Limited Stochastic Perturbation (LSP) Cumulative Distribution Function (CDF) Complex Dynamical Networks (CDN) Chaotic Systems
Lin Pan Holger Voos Ibrahima NDoye Mohamed Darouach
Interdisciplinary Centre for Security,Reliability and Trust,University of Luxembourg,Luxembourg Research Center for Automatic Control of Nancy(CRAN UMR,7039,CNRS),University of Lorraine,France
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
1881-1886
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）