Closed-Form Calculation of the Fixed Point of the Operator Generated by a Multidimensional System with Relay Hysteresis.

Autor: Kamachkin, A. M., Yevstafyeva, V. V., Potapov, D. K.
Předmět:
Zdroj: Differential Equations; Aug2024, Vol. 60 Issue 8, p1002-1013, 12p
Abstrakt: We consider a multidimensional system of ordinary differential equations with relay nonlinearity of a hysteresis type in a special form that permits calculating the fixed point of the operator generated by this system in closed form. We propose procedures for selecting a vector defining the location of discontinuity (switch) surfaces in the state space such that there exists a unique fixed point on one of these surfaces. Examples are given representing the theoretical results obtained. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index