A сondition for the existence of a unique equilibrium position of the Cauchy problem for linear matrix differential algebraic equations.

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DOI:

https://doi.org/10.26565/2221-5646-2017-86-02

Keywords:

differential-algebraic matrix equation; pseudoinverse matrix

Abstract

Sufficient conditions for the existence of a unique equilibrium position  of the  Cauchy problem for differential-algebraic equations are proposed. The paper proposes a constructive scheme of the equilibrium position in the Cauchy problem in the general case, when a linear operator L, corresponding to homogeneous of the equation, has no inverse.

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2017-12-29

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How to Cite

A сondition for the existence of a unique equilibrium position of the Cauchy problem for linear matrix differential algebraic equations. (2017). Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 86, 10-17. https://doi.org/10.26565/2221-5646-2017-86-02