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JOURNALS // Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii" // Archive

Uchenyye zapiski UlGU. Seriya "Matematika i informatsionnyye tekhnologii", 2021 Issue 2, Pages 97–104 (Mi ulsu57)

This article is cited in 1 paper

Analysis of the properties of controllability and observability of mathematical models of daily thermometry

M. A. Shugurova

Ulyanovsk State Pedagogical University

Abstract: The paper investigates the properties of complete controllability and observability of three-dimensional discrete linear stochastic models of daily thermometry of thermal homeostasis of a healthy person, given in the state space by discrete linear stochastic systems. The properties of the complete observability and controllability of the real-valued canonical model are investigated. The analysis of the complete controllability of the standard observable model is processed. The standard controllable model has been constructed. The analysis of the complete observability of the standard controllable model is carried out.

Keywords: daily thermometry, thermal homeostasis, linear discrete stochastic system, complete controllability, complete observability.

UDC: 681.5.075

Received: 25.11.2021



© Steklov Math. Inst. of RAS, 2024