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math.DS2017
Non-invasive control of the fractional Hegselmann-Krause type model
Ricardo Almeida, Agnieszka B. Malinowska, Tatiana Odzijewicz
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 th…
math.DS2015
Variational problems for Holderian functions with free terminal point
Ricardo Almeida, Natália Martins
We develop the new variational calculus introduced in 2011 by J. Cresson and I. Greff, where the classical derivative is substituted by a new complex operator called the scale deri…