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Information and communication and chemical technologies
No. 1 (18) - 2023 / 2023-03-30 / Number of views: 296
AUTOMATION OF THE LINEARIZATION PROCESS OF A NONLINEAR MODEL DESCRIBED BY ORDINARY DIFFERENTIAL EQUATIONS
Authors
Keywords
ordinary differential equation, computer algebra, stability, controllability, MatLab
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How to quote
Ziyatbekova Г., Mazakova А., Jomartova Ш., Mazakov Т., and Dossanaliyeva А. “AUTOMATION OF THE LINEARIZATION PROCESS OF A NONLINEAR MODEL DESCRIBED BY ORDINARY DIFFERENTIAL EQUATIONS”. Vestnik KazUTB, vol. 1, no. 18, Mar. 2023, doi:10.58805/kazutb.v.1.18-69.
Ziyatbekova Г., Mazakova А., Jomartova Ш., Mazakov Т., and Dossanaliyeva А. “AUTOMATION OF THE LINEARIZATION PROCESS OF A NONLINEAR MODEL DESCRIBED BY ORDINARY DIFFERENTIAL EQUATIONS”. Vestnik KazUTB, vol. 1, no. 18, Mar. 2023, doi:10.58805/kazutb.v.1.18-69.
Abstract
Abstract. The paper investigates the possibility of automated linearization of nonlinear models. On the basis of linearized models it is possible to investigate further such properties of the initial model as stability and controllability. Based on the application of computer algebra, a constructive algorithm for linearizing a system of nonlinear ordinary differential equations is developed. The software in MatLab has been developed. The effectiveness of the proposed algorithm is demonstrated on applied problems.
Keywords: ordinary differential equation, computer algebra, stability, controllability, MatLab.
