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VOL. 77 | 2018 Algebraic tools for the analysis of state space models
Nicolette Meshkat, Zvi Rosen, Seth Sullivant

Editor(s) Takayuki Hibi

Abstract

We present algebraic techniques to analyze state space models in the areas of structural identifiability, observability, and indistinguishability. While the emphasis is on surveying existing algebraic tools for studying ODE systems, we also present a variety of new results. In particular: on structural identifiability, we present a method using linear algebra to find identifiable functions of the parameters of a model for unidentifiable models. On observability, we present techniques using Gröbner bases and algebraic matroids to test algebraic observability of state space models. On indistinguishability, we present a sufficient condition for distinguishability using computational algebra and demonstrate testing indistinguishability.

Information

Published: 1 January 2018
First available in Project Euclid: 21 September 2018

zbMATH: 07034254
MathSciNet: MR3839711

Digital Object Identifier: 10.2969/aspm/07710171

Subjects:
Primary: 05E40, 13P10, 13P25, 52B20

Rights: Copyright © 2018 Mathematical Society of Japan

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