Geometrically continuous piecewise Chebyshevian NU(R)BS
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DOI: 10.1007/s10543-019-00795-y
Abstract: By piecewise Chebyshevian splines we mean splines with pieces taken from different Extended Chebyshev spaces all of the same dimension, and with connection matrices at the knots. Within this very large and crucial class of… read more here.
Keywords: continuous piecewise; piecewise chebyshevian; piecewise; spline ... See more keywords
Primitives of continuous functions via continuous piecewise linear functions
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DOI: 10.1080/0020739x.2024.2348143
Abstract: In classical calculus textbooks, the existence of primitive functions of continuous functions is proved by using Riemann integrals. Recently, Patrik Lundström gave a proof via polynomials, based on the Weierstrass approximation theorem. In this note,… read more here.
Keywords: piecewise linear; continuous functions; continuous piecewise; primitives continuous ... See more keywords
Construction of Continuous and Piecewise Affine Feedback Stabilizers for Nonlinear Systems
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DOI: 10.1109/tac.2020.3030864
Abstract: In this article, two methods for constructing continuous and piecewise affine (CPA) feedback stabilizers for nonlinear systems are presented. First, a construction based on a piecewise affine interpolation of Sontag's “universal” formula is developed. Stability… read more here.
Keywords: feedback stabilizers; continuous piecewise; piecewise affine;
Generalized Continuous Piecewise Linear Companding Transform Design for PAPR Reduction in OFDM Systems
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DOI: 10.1109/tbc.2022.3171134
Abstract: Linear companding transform (LCT) is one of the most attractive schemes to deal with the inherent problem of high peak-to-average power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) systems, due to its effectiveness and… read more here.
Keywords: continuous piecewise; transform; linear companding; generalized continuous ... See more keywords