Mesiar, Piecewise linear aggregation functions based on triangulation, Information Sciences, 181:466- 478, 2011.De Baets, B., H. De Meyer, and R. Mesiar (2011). Piecewise linear aggregation functions based on triangulation. Inform. Sci. 181(3), 466-478....
A piecewise linear function is a function composed of some number of linear segments defined over an equal number of intervals, usually of equal size. For example, consider the function y=x^3 over the interval [1,2]. If y(x) is approximated by a piecewis
Piecewise linear functions In CP Optimizer, piecewise linear functions are typically used to model a known function of time, such as the cost incurred for completing an activity after a known date t (see Expressions over Interval Variables). A piecewise linear function F(t) is defined by a ...
形如\max_{i=1,...,m} (\textbf{c}_i' \textbf{x} + d_i) 的函数被称为 分段线性凸函数 (piecewise linear convex function). 一个简单的例子是 f(x) = |x| = \max\{ x, -x\} , 如图1.2(b)所示, 分段线性凸函数可以被用于近似一般凸函数....
Weissenberger, S., "Piecewise-Quadratic and Peice- wise-Linear Lyapunov Functions for Discontinuous Systems," Int. J. Contr., Vol. 10, No. 2, pp. 171-180 (1969).S. Weissenberger, Piecewise-quadratic and piecewise-linear Lyapunov functions for discon- tinuous systems, Internat. J. Control...
Piecewise linear (PWL) functions are used to construct a waveform from a series of straight line segments connecting points defined by the user inLTspice. Since PWL functions are useful in creating custom waveforms, they are typically used in defining voltage or current sources. ...
首先，我们定义了凸函数与凹函数。若函数对于所有参数值，在给定区间内函数值不超过连接两点的直线，则称该函数为凸函数。若函数对于所有参数值，在给定区间内函数值不小于连接两点的直线，则称该函数为凹函数。凸函数和凹函数的图形特征如图1.1所示。值得注意的是，若函数同时为凸且凹，则该函数被称为...
D. Melzer, "On the expressibility of piecewise-linear continuous functions as the difference of two piecewise-linear convex functions" Mathematical Programming Study vol.29 (1986) 118-134.Melzer, D. (1986), On the Expressibility of Piecewise-Linear Continuous Functions as the Difference of two ...
Multimodal functionspopulation-based algorithmsredundant solutionsheuristicsmeta-heuristicsIn this paper, we present a parametrization of piecewise linear (PWL) Lyapunov functions. To this end, we consider the class of all continuous PWL functions defined over a simplicial partition. We take advantage of ...
It is a periodic,piecewise linear, continuous real function. WikiMatrix The square of each of these is approximated usingpiecewise linearcircuits. WikiMatrix Important sub-classes ofpiecewise linearfunctions include the continuouspiecewise linearfunctions and the convexpiecewise linearfunctions. ...