This study clarifies parameter combinations for which the map can generate periodic cycles and then constructs explicit forms of density functions that are useful to derive various statistical properties of chaotic trajectories. Two illustrative examples are given to show the effectiveness of our results....
A 1.1-V Current-Mode and Piecewise-Linear 热度: Design of Stabilizing Switching Control Laws for Discrete and Continuous-Time Linear Systems Using Piecewise-Linear Lyapunov Functions-IJC02 热度: Approximation by piecewise polynomials on Voronoi tessellation 热度: 相关推荐 Piecewise linear regression...
Define Piecewise-continuous. Piecewise-continuous synonyms, Piecewise-continuous pronunciation, Piecewise-continuous translation, English dictionary definition of Piecewise-continuous. adv 1. maths with respect to a number of discrete pieces 2. formal in
The objectives are often in the form of piecewise linear functions due to the fact that typically the sum (or the maximum) of weighted distances from the existing facilites to the new facility is chosen as a criterion. Moreover, these distances are often derived from norms with a polyhedral ...
Piecewise linear functions are frequently used in various applications to approximate nonlinear programs with nonconvex functions in the objective or constraints by adding extra binary variables, continuous variables, and constraints. They naturally appear as cost functions of supply chain problems to model...
4 . 2 piecewise linear functions and approximations we start by introducing the basic concepts of triangulations and piecewise linear functions and discuss their use in approximating nonlinear functions. for the sake of simplicity, we restrict ourselves to continuous functions over polytopal domains. a ...
We are assume that in hypothesis(H1)the conditionp32≠0hold, whilep31can be null or not. Affine transformation of the state space of system (2) on the state space of system (4), provided by Proposition1, is obtained by applying the change of coordinates ...
Therefore, modern growth analysis has to simultaneously address three different problems: (1) Science can grow according to different growth functions, which provide hypotheses about the nature of growth processes (e.g., unrestricted exponential). (2) It can be assumed that science grows at ...
can be extended to an affine transformation ¯ α in R 3 , which maps the paraboloid onto itself and preserves distances of points in R 3 to Φ measured in the x 3 -direction. A piecewise linear 34 H. Pottmann et al.: Piecewise Linear Approximation of Quadratic Functions Figure 1: ...
Let L(x, u) be a real-valued function depending on functions uα and their partial derivatives of various orders. The mapping A:B→R defined by Au=∫BnLxudx1dx2…dxn is called a functional or an action integral whereas the function L is named as a Lagrangian function [French ...