Automated Linearization of a System of Nonlinear Ordinary Differential Equations

Automated Linearization of a System of Nonlinear Ordinary Differential Equations

This paper investigates the possibility of automatically linearizing nonlinear models. Constructing a linearised model for a nonlinear system is quite labor-intensive and practically unrealistic when the dimension is greater than 3. Therefore, it is important to automate the process of linearisation...

Full description

Bibliographic Details
Main Authors:	Aigerim Mazakova, Sholpan Jomartova, Waldemar Wójcik, Talgat Mazakov, Gulzat Ziyatbekova
Format:	Article
Language:	English
Published:	Polish Academy of Sciences 2023-11-01
Series:	International Journal of Electronics and Telecommunications
Subjects:	ordinary differential equation computer algebra stability controllability matlab
Online Access:	https://journals.pan.pl/Content/129105/PDF/3-4207-Ziyatbekova-sk.pdf

Similar Items

The Stability Interval of the Set of Linear System
by: Talgat Mazakov, et al.
Published: (2021-05-01)

A novel method for establishing solutions to non-linear ordinary differential equations
by: Horak, Vladimir, et al.
Published: (2018)

Ordinary differential equations with linear algebra /
by: Lomen, David, 1937-, et al.
Published: (1986)

Existence of solutions of nonlinear differential equations with $\psi$-exponential or $\psi$-ordinary dichotomous linear part in a Banach space
by: Atanaska Georgieva, et al.
Published: (2014-03-01)

Numerical solution of nonlinear boundary value problems for ordinary differential equations in the continuous framework
by: Birkisson, A
Published: (2013)

Introduction to numerical ordinary and partial differential equations using MATLAB /
by: 175168 Stanoyevitch, Alexander
Published: (2005)

Dirichlet BVP for the second order nonlinear ordinary diﬀerential equations at resonance
by: Sulkhan Mukhigulashvili, et al.
Published: (2019-10-01)

Decomposition of ordinary differential equations
by: Fritz Schwarz
Published: (2017-11-01)

On reducing and finding solutions of nonlinear evolutionary equations via generalized symmetry of ordinary differential equations
by: Ivan Tsyfra, et al.
Published: (2022-05-01)

Uniqueness criteria for ordinary differential equations with a generalized transversality condition at the initial condition
by: José Ángel Cid, et al.
Published: (2022-01-01)

On the Method of Differential Invariants for Solving Higher Order Ordinary Differential Equations
by: Winter Sinkala, et al.
Published: (2022-10-01)

Averaging for ordinary differential equations perturbed by a small parameter
by: Mustapha Lakrib, et al.
Published: (2016-07-01)

Analytical solution of linear ordinary differential equations by differential transfer matrix method
by: Sina Khorasani, et al.
Published: (2003-08-01)

Block backward differentiation formula for solving ordinary and algebraic differential equations
by: Abasi, Naghmeh
Published: (2014)

Systems of ordinary differential equations : an introduction /
by: Goldberg, Jack L. (Jack Leonard), 1932-, et al.
Published: (1972)

Stability of Neural Ordinary Differential Equations with Power Nonlinearities
by: Vasiliy Ye. Belozyorov, et al.
Published: (2020-11-01)

Differential equations : linear,nonlinear,ordinary,partial /
by: 399211 King, A. C., et al.
Published: (2003)

Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
by: Cheng Xue, et al.
Published: (2021-01-01)

Solving of some nonlinear ordinary differential equations in the form of power series
by: I.N. Belyaeva, et al.
Published: (2022-12-01)

On the Polynomial Solutions and Limit Cycles of Some Generalized Polynomial Ordinary Differential Equations
by: Claudia Valls
Published: (2020-07-01)

Asymptotic forms of weakly increasing positive solutions for quasilinear ordinary differential equations
by: Hiroyuki Usami, et al.
Published: (2007-09-01)

Development of the hybrid method to solve boundary values problems in Ordinary Differential equations
by: Basheer Al-Hayali, et al.
Published: (2007-04-01)

Degenerate Canonical Forms of Ordinary Second-Order Linear Homogeneous Differential Equations
by: Dimitris M. Christodoulou, et al.
Published: (2021-05-01)

Conditional linearization of the quintic nonlinear beam equation
by: Nuntawan Sripana, et al.
Published: (2017-04-01)

Multivalue Collocation Methods for Ordinary and Fractional Differential Equations
by: Angelamaria Cardone, et al.
Published: (2022-01-01)

ON SINGULAR SOLUTIONS OF CLAIRAUT EQUATIONS IN THE THEORY OF ORDINARY DIFFERENTIAL AND PARTIAL DERIVATIVE EQUATIONS
by: L. A. Zhidova
Published: (2020-06-01)

Solving Directly Higher Order Ordinary Differential Equations by Using Variable Order Block Backward Differentiation Formulae
by: Asma Izzati Asnor, et al.
Published: (2019-10-01)

Algebraic Criteria of the Integral Separation for Solving Certain Classes of Ordinary Differential Equations Systems
by: A. A. Akhrem, et al.
Published: (2020-09-01)

Theory of Functional Connections Applied to Linear ODEs Subject to Integral Constraints and Linear Ordinary Integro-Differential Equations
by: Mario De Florio, et al.
Published: (2021-09-01)

Time averaging for ordinary differential equations and retarded functional differential equations
by: Mustapha Lakrib, et al.
Published: (2010-03-01)

Linearization of Second-Order Ordinary Differential Equations by Generalized Sundman Transformations
by: Warisa Nakpim, et al.
Published: (2010-06-01)

Intelligent Dam Breach Threat Monitoring System
by: T. Mazakov, et al.
Published: (2022-06-01)

Fault Diagnosis via Neural Ordinary Differential Equations
by: Luis Enciso-Salas, et al.
Published: (2021-04-01)

Comparison of the Selected Methods Used for Solving the Ordinary Differential Equations and Their Systems
by: Edyta Hetmaniok, et al.
Published: (2022-01-01)

On reconstructing an unknown coordinate of a nonlinear system of differential equations
by: Marina Blizorukova, et al.
Published: (2014-01-01)

On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations
by: Ivan Tsyfra
Published: (2021-09-01)

On the boundary value problems for ordinary differential equations with isolated singularity
by: Kristina Aldošina, et al.
Published: (2005-12-01)

Difficulties experienced by students in the interpretation of the solutions of ordinary differential equations that models a problem
by: Carolina Guerrero Ortiz, et al.
Published: (2011-04-01)

The Effect of Linear Operators in Periodical Solutions of Ordinary Differential Equations
by: Samaneh Soradi-Zeid, et al.
Published: (2022-08-01)

An oscillation theorem for a second order nonlinear differential equations with variable potential
by: Jagmohan Tyagi
Published: (2009-01-01)