E A. Mityushov, N.E. Misyura. Exact representation of the unit step function through algebraic functions
Natural Sciences / Mathematics / Dynamical systems
Submitted on: Jan 21, 2017, 08:43:39
Description: In this paper, the author obtains an algebraic representation of the unit step function, known as Heaviside function, using, a combination of three algebraic functions: linear, quadratic and irrational. Heaviside step function is widely used in operational calculus, control theory, signal processing theory and describing transients. The use of elementary algebraic functions for accurate representation of step functions will simplify mathematical models of piecewise continuous processes and computational procedures in many ways. Аn example of describing transients process in a special dynamic system using injected presentation of the unit step function is considered here.