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Importantly, these results illustrate how interrelated variations in these three properties tune function of each FFRP to the environmental context in which it acts.
Moreover, tuning functions are designed to reduce the order of the parameter updater.
In this sense, the adaptive backstepping procedure with tuning functions design is used for solving this problem.
The resultant control law does not involve tuning functions and, at the same time, is free of overparametrization.
The design procedure employs the basic ideas of the adaptive backstepping algorithm with tuning functions via input-output linearization, and is applicable to both triangular and nontriangular systems.
This paper also shows a comparison with a controller designed via adaptive backstepping with tuning functions, the most popular method for controlling systems of this form.
This method is more advantageous than synchronization method via backstepping with tuning functions, proposed by C. Wang and S.S. GE (2001).
The overparametrization and partial overparametrization problems were soon eliminated by elegantly introducing the tuning functions [33, 35].
In this paper, we constructed the virtual controllers and tuning functions to deal with the fractional stabilization problem, the backstepping technique has been extended to fractional-order systems.
These considerations, along with the fact that human experts can very effectively perform tuning functions in process controllers, form the basis for the control structure proposed in this work.
Figure 1b shows the frequency tuning functions of seven example model neurons within a spatial frequency hypercolumn.
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