# Investigation of the Adaptivity Degree of State Variables in Linear Models of Dynamic Systems

## TL;DR

This paper introduces numerical criteria to assess how adaptable state variables are in linear models of dynamic systems.

## Contribution

The paper proposes two new numerical criteria to calculate the adaptability degree of state variables in linear models.

## Key findings

- Numerical criteria were developed to evaluate the adaptability of state variables in linear models.
- The adaptability of inertial navigation system errors was analyzed under varying sampling periods and flight altitudes.
- The methods can be used to design estimation algorithms with desired adaptability properties.

## Abstract

This study investigates the concept of the adaptability degree of state variables in mathematical models used in estimation algorithms. Two numerical criteria are proposed for calculating the adaptability degree of state variables in linear models. Qualitative characteristics of the adaptability of inertial navigation system errors are studied under conditions of varying sampling periods and flight altitudes of an atmospheric aircraft. The developed methods allow for the creation of models for estimation algorithms with desired adaptability properties.