Iterative identification algorithm for tumor model using controlled ARMA model

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Sadeghi Kiavash Hossein; Razminia Abolhassan; Marashian Arash

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Journal Paper

Paper Information

Journal: Journal of Mathematical Modeling Year:2025 | Volume:13 | Issue:1 Page(s): 69-83

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Title

Iterative identification algorithm for tumor model using controlled ARMA model

Author(s)

Sadeghi Kiavash Hossein | Razminia Abolhassan | Marashian Arash | Issue Writer Certificate

Keywords

Generalized projection algorithms

two-stage identification

System identification

parameter estimation

Abstract

Since System identification of a tumor model is a primary need for controlling tumor model system, accessing suitable and applicable identification methods is a necessary object. In this paper, firstly, for estimating controlled auto-regressive moving average (CARMA) systems, two identification methods, namely generalized projection algorithm (GPA) and two-stage GPA (2S-GPA), are introduced and presented in order to estimate unknown parameters of a specific and vital tumor model. Furthermore, effectiveness of such methods, like convergence rate and estimation error, are discussed and considered. The introduced algorithms are simulated to prove these methods effectiveness, and data derived from the simulations are depicted through tables and figures.

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