A normal form for pure differential algebraic systems
نویسندگان
چکیده
منابع مشابه
Differential Algebraic Formulation of Normal Form Theory
A differential algebraic (DA) formulation of a normal form theory for repetitive systems is presented. Contrary to previous approaches, no Lie algebraic tools are used. The resulting algorithm is very transparent and not restricted to the treatment of symplectic systems. In the case of symplectic systems, the normal form algorithm provides a nonlinear coordinate transformation in which the moti...
متن کاملA Normal Form for Algebraic Constructions
By a " construction " we mean here a function which takes each structure of one type to some structure of another type; " algebraic " means " such as occurs in algebra ". One example of an algebraic construction is the function F which takes each integral domain R to its field of fractions F(R). Word-constructions, defined below, yield a normal form for algebraic constructions; they also consti...
متن کاملParameter identification for multibody systems expressed in differential-algebraic form
The ability of a multibody dynamic model to accurately predict the response of a physical system relies heavily on the use of appropriate system parameters in the mathematical model. Thus, the identification of unknown system parameters (or parameters that are known only approximately) is of fundamental importance. If experimental measurements are available for a mechanical system, the paramete...
متن کاملA Normal Form Algorithm for Differential Deformations
We introduce the notion of a formal differential deformation of a local Artinian algebra and describe a normal form algorithm to compute presentations of differential deformations. We show that the microlocal structure of the Brieskorn lattice of an isolated hypersurface singularity can be considered as a differential deformation.
متن کاملComputation of a canonical form for linear differential-algebraic equations
This paper describes how a commonly used canonical form for linear differential-algebraic equations can be computed using numerical software from the linear algebra package LAPACK. This makes it possible to automate for example observer construction and parameter estimation in linear models generated by a modeling language like Modelica.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2009
ISSN: 0024-3795
DOI: 10.1016/j.laa.2008.10.004