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The switching surface is designed technically to realize fast convergence.
Based on self-state-feedback and neighbor-output-feedback, a new consensus protocol is proposed, which can realize arbitrary convergence rate.
The design of the new filter is based on an improved variational approach by adding the high order derivative terms to the bending energy part whose structural parameters are determined by the aid of the universal Taylor series, so as to realize the convergence to the function of the Gaussian filter.
To realize this convergence of disciplines, CIHR has, for example, conceived the Strategic Training Initiatives in Health Research, a program designed to fund novel approaches to training and to stimulate multidisciplinary research in the coming generation of health researchers.
The proposed control strategy drives tracking errors to a nonsingular fast terminal sliding surface and realizes fast convergence in finite time.
The conversion is successfully achieved for a class of weighting functions, and the resultant observer realizes exponential convergence of the estimation error with an arbitrary decay rate in terms of the L2 norm.
The proposed control scheme contains three elements, a TDE element adopted to suitably cancel out the unknown lumped dynamics with purposely time-delayed signals of the closed-loop control system, a newly proposed FONTSM manifold adopted to realize finite-time convergence in the sliding mode phase and a fast-TSM-type reaching law adopted to ensure finite-time convergence in the reaching phase.
The results show that the proposed guidance law can realize finite-time convergence, and it has strong robustness against bounded uncertainties as well as the stochastic noise.
Cui et al. [7] combined LMS with recursive least square (RLS) algorithms to realize a faster convergence rate and simplify complexity of implementation at the same time.
Generally speaking, Algorithms 3.1 and 3.3 have only the weak convergence in the frame work of infinite-dimensional spaces, and therefore the modifications of Algorithms 3.1 and 3.3 are needed in order to realize the strong convergence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com