This article is cited in 3 papers

Nonlinear Systems

Continuous processes with fuzzy states and their applications

V. L. Khatskevich

Military Training and Research Center of the Air Force, Air Force Academy named after N.E. Zhukovsky and Yu.A. Gagarin, Voronezh, Russia

Abstract: Scalar characteristics of continuous processes with fuzzy states—mean and correlation functions—are introduced and studied. Their algebraic properties as well as some properties related to the differentiation and integration of fuzzy functions of a real argument are established. The dependence between the characteristics of a fuzzy signal at the input and output of a dynamic system described by a high-order differential equation with constant coefficients is shown.

Keywords: continuous fuzzy processes, means, correlation functions, fuzzy dynamic systems.

Presented by the member of Editorial Board: D. V. Vinogradov

Received: 25.02.2022
Revised: 03.04.2023
Accepted: 09.06.2023

DOI: 10.31857/S0005231023080032

 English version: Automation and Remote Control, 2023, 84:8, 827–839