학술논문
Non-invasive control of the fractional Hegselmann-Krause type model
Document Type
Working Paper
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Subject
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Abstract
In this paper, the fractional order Hegselmann-Krause type model with leadership is studied.We seek an optimal control strategy for the system to reach a consensus in such a way that the control mechanism is included in the leader dynamics. Necessary optimality conditions are obtained by the use of a fractional counterpart of Pontryagin Maximum Principle. The effectiveness of the proposed control strategy is illustrated by numerical examples.
Comment: This is a preprint of a paper whose final and definite form is in Theory and Applications of Non-integer Order Systems, Lecture Notes in Electrical Engineering, Springer Verlag
Comment: This is a preprint of a paper whose final and definite form is in Theory and Applications of Non-integer Order Systems, Lecture Notes in Electrical Engineering, Springer Verlag