A reduction of certain analytic differential equations to differential equations of an algebraic type
نویسندگان
چکیده
منابع مشابه
Index reduction of differential algebraic equations by differential algebraic elimination
High index differential algebraic equations (DAEs) are ordinary differential equations (ODEs) with constraints and arise frequently from many mathematical models of physical phenomenons and engineering fields. In this paper, we generalize the idea of differential elimination with Dixon resultant to polynomially nonlinear DAEs. We propose a new algorithm for index reduction of DAEs and establish...
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∗ Division of Automatic Control Department of Electrical Engineering, Linköpings universitet, SE-581 83 Linköping, Sweden ∗∗ Department of Mechanical Science and Engineering, Nagoya University, Japan Abstract: In this work, a computational method to compute balanced realizations for nonlinear differential-algebraic equation systems is derived. The work is a generalization of an earlier work for...
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Geometric reduction methods for differential-algebraic equations (DAEs) aim at an iterative reduction of the problem to an explicit ODE on a lower-dimensional submanifold of the so-called semistate space. This approach usually relies on certain algebraic (typically constant-rank) conditions holding at every reduction step. When these conditions are met the DAE is called regular. We discuss in t...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1916
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1916-1501040-4