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Advances in Mathematical Physics
Volume 2017 (2017), Article ID 1098169, 6 pages
https://doi.org/10.1155/2017/1098169
Research Article

Improved Finite Time in Eliminating Disagreement of Opinion Dynamics via Noise

1School of General Education, Weifang University of Science and Technology, Shouguang 262700, China
2School of Science, Beijing Technology and Business University, Beijing 100048, China

Correspondence should be addressed to Lipo Mo

Received 25 May 2017; Revised 7 September 2017; Accepted 27 September 2017; Published 19 October 2017

Academic Editor: Antonio Scarfone

Copyright © 2017 Yong Ding and Lipo Mo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We aim to refine the estimation of the finite stopping time when the disagreement in an opinion group is eliminated by a simple but novel noise intervened strategy. It has been proved that, by using this noise intervened control strategy, the divisive opinions would get synchronized in finite time. Moreover, the finite stopping time when resolving the disagreement has been clarified. The estimation of the finite stopping time will effectively reveal which factors and how they determine the consequence of intervention. However, the upper bound for the estimation of the integrable stopping time when noise is oriented has been quite conservative. In this paper, we investigate the finite stopping time of eliminating the disagreement by completely oriented noise and a much more precise formula for the estimation of the finite stopping time is obtained finally via direct calculation.