Usage of Selected Swarm Intelligence Algorithms for Piecewise Linearization
Mathematics, 2022 The paper introduces a new approach to enhance optimization algorithms when solving the piecewise linearization problem of a given function. Eight swarm intelligence algorithms were selected to be experimentally compared.
Nicole Škorupová +2 more
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The topological entropy of iterated piecewise affine maps is uncomputable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We show that it is impossible to compute (or even to approximate) the topological entropy of a continuous piecewise affine function in dimension four. The same result holds for saturated linear functions in unbounded dimension.
Pascal Koiran
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On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems
Axioms, 2022 This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
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Non‐linear activation function approximation using a REMEZ algorithm
IET Circuits, Devices and Systems, 2021 Here a more accurate piecewise approximation (PWA) scheme for non‐linear activation function is proposed. It utilizes a precision‐controlled recursive algorithm to predict a sub‐range; after that, the REMEZ algorithm is used to find the corresponding ...
Samba Raju Chiluveru +2 more
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Numerical simulation of FIV of PTC-cylinder with nonlinear springs at high Reynolds number
Zhongguo Jianchuan Yanjiu, 2022 ObjectiveThis article studies the characteristics of the flow-induced vibration (FIV) of a cylinder with passive turbulence control and nonlinear springs in a wide range of Reynolds numbers in order to use the FIV of the PTC-cylinder to improve the ...
Tianhui FAN +3 more
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Bode Plots Revisited: a Software System for Automated Generation of Piecewise Linear Frequency Response Plots [PDF]
Electronics, 2017 The paper presents an algorithm for automatic generation of piecewise linear Bode plots. The algorithm is complete in the sense it covers for all posible locations of poles and zeros of transfer functions, including unstable poles and poles and zeroes at
Predrag Pejović, Amela Zeković
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A generalized approach for implicit time integration of piecewise linear/nonlinear systems
International Journal of Mechanical System Dynamics, 2021 A generalized solution scheme using implicit time integrators for piecewise linear and nonlinear systems is developed. The piecewise linear characteristic has been well‐discussed in previous studies, in which the original problem has been transformed ...
Huimin Zhang +3 more
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Study of the Dynamics of a Class of One-dimensional Piecewise Linear Displays with One Gap
Моделирование и анализ информационных систем, 2017 In the paper, the dynamics of a class of one-dimensional piecewise linear displays with one gap is studied. Stable conditions of equilibrium as well as other attractors are found by numerical methods.
Grigorii A. Akhremenko
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A hybrid bin scheme to solve the condensation/evaporation equation using a cubic distribution function [PDF]
Atmospheric Chemistry and Physics, 2012 A computationally efficient method is proposed to replace the piecewise linear number distribution in a hybrid bin scheme with a piecewise cubic polynomial.
T. Dinh, D. R. Durran
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Piecewise quadratic Lyapunov functions for stability verification of approximate explicit MPC [PDF]
Modeling, Identification and Control, 2010 Explicit MPC of constrained linear systems is known to result in a piecewise affine controller and therefore also piecewise affine closed loop dynamics.
Morten Hovd, Sorin Olaru
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