Relationships that can be explained by linear regression are limited in practice. Polynomial or other complex machine learning models are hard to explain, and could behave extreme outside of the data range. Piecewise linear regression, with flexible number of segments and break points may work when...
Controller Synthesis of Fuzzy Dynamic Systems Based on piecewise Lyapunov Functions IEEE Trans. Fuzzy Syst., volume 11 (2003), pp. 605-612 CrossrefView in ScopusGoogle Scholar Feng G. Feng. Stability Analysis of Discrete-Time Fuzzy Dynamic Systems Based on piecewise Lyapunov Functions. IEEE Trans...
In practice, nevertheless, the signal to be denoised/segmented is given including the noise. In light of the presented NoB analysis (Figs. 7 and 8 in particular), it means that (especially) when SNR is high, it may be beneficial to run the optimization task (8) multiple times, i.e....
The aim of this work is to increase the precision of the solution of dynamic user equilibrium assuming that the computation takes a reasonable time so that the solution is useful in practice. The proposed method replaces the classical grid-based solution by a near continuous-time solution based...
The kernel functions of the integral equations are closely related, through a normalization factor, to the Frechét kernels of the conventional equations obtained by linearization. Accordingly, the sensitivity functions play the role of weighting functions for electrical conductivity despite the nonlinear ...
In practice, we observe O(k 2 ) convergence even for α close to −1. Keywords Discontinuous Galerkin method · Fractional diffusion · Non-uniform time steps · Memory term· Finite elements · Convergence analysis K. Mustapha Department of Mathematics and Statistics, King Fahd University of ...
of f on [a, b]. In practice, users do not specify the interval [a, b] when posing indefinite integration problems to CAS, and furthermore no CAS offers the syntax to accept such a specification. Therefore we now define the domain of maxi- ...
We shall now define a family of functions which will be used throughout the paper to model time-dependent boundaries. Definition 2.1 Let G˜ ⊂ D(T × R) be a set of measurable càdlàg functions, such that for any function g ∈ G˜, g : T → R is a locally bounded map ...
In the literature, heterogeneous results are reported concerning which approach works better in practice, but little theoretical analysis is provided. We fill this gap by structurally comparing bivariate and univariate approximations with respect to two criteria. First, we compare the number of simplice...
In practice, one may encounter controllability problems for which the input may only take values from a set Ω ⊂ R. A typical example of such constrained controllability problems would be a (linear) system that may admit only positive controls. Study of constrained controllability goes back ...