On Realizing Differential-Algebraic Equations by Rational Dynamical Systems

Author:

Pavlov Dmitrii1,Pogudin Gleb2

Affiliation:

1. Moscow State University, Moscow, Russian Fed.

2. Ecole Polytechnique, Institute Polytechnique de Paris, Palaiseau, France

Funder

Paris Ile-de-France region

NSF (National Science Foundation)

Publisher

ACM

Reference26 articles.

1. Giuseppe Conte , Claude H. Moog , and Anna Maria Perdon . 2007. Algebraic Methods for Nonlinear Control Systems . Springer London . https://doi.org/10.1007/978--1--84628--595-0 Giuseppe Conte, Claude H. Moog, and Anna Maria Perdon. 2007. Algebraic Methods for Nonlinear Control Systems .Springer London. https://doi.org/10.1007/978--1--84628--595-0

2. R. Dong C. Goodbrake H. Harrington and G. Pogudin. 2021. Differential elimination for dynamical models via projections with applications to structural identifiability. preprint (2021). https://arxiv.org/abs/2111.00991 R. Dong C. Goodbrake H. Harrington and G. Pogudin. 2021. Differential elimination for dynamical models via projections with applications to structural identifiability. preprint (2021). https://arxiv.org/abs/2111.00991

3. Apolarity and Canonical Forms for Homogeneous Polynomials

4. K. Forsman. 1993. On rational state space realizations. In Nonlinear Control Systems Design. 341--346. https://doi.org/10.1016/b978-0-08-041901--5.50061-0 K. Forsman. 1993. On rational state space realizations. In Nonlinear Control Systems Design. 341--346. https://doi.org/10.1016/b978-0-08-041901--5.50061-0

5. Global Identifiability of Differential Models

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