Limits Of Piecewise Functions Pdf Download [EXCLUSIVE]
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In this article we characterize the discrete limits of sequences of piecewise linear functions. A function $f:[0,1]\\to \\mathbb{R}$ is the discrete limit of a sequence of piecewise linear functions iff there are closed sets $A_n$ such that $[0,1] = \\bigcup_nA_n$ and the restricted functions $f/A_n$ are linear.
Piecewise functions are common in the mathematical modelling of various systems, including mechanical and electronic devices, demography and economy, and robotics and control equipment. Many studies of piecewise systems are addressed towards the analysis of their solutions using well-structured traditional and non-conventional techniques. In particular, stable and structurally stable solutions (robust stability), limit cycles, and strange attractors have been found in a wide variety of systems, including population dynamics, predator-prey models, disease models, human organs and health models, circuit design, mechanical systems, control and automation, neural networks, and Petri net design. Among other dynamical behaviours, chaos has also been extensively studied in piecewise systems in recent years.
The paper is focused on the simulation identification of nonlinear damping characteristics of the shock absorber using genetic algorithm (GA). 2 DOF quarter car model is used with nonlinear characteristics of damping force defined as piecewise functions. The characteristics are found using time courses of position, velocity and acceleration of both masses under kinematic excitation. The influence of initial boundaries determining the limits within the parameter values are searched is shown in the paper. 1e1e36bf2d