## Abstract The problem of output tracking control is considered for a general class of nonlinear differentialβalgebraic systems. Regularization algorithm proposed here provides sufficient conditions for the existence of a regularizing feedback controller that renders the closedβloop system to have
Essential Components of an Algebraic Differential Equation
β Scribed by Evelyne Hubert
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 479 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0747-7171
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β¦ Synopsis
We present an algorithm to determine the essential singular components of an algebraic differential equation. Geometrically, this corresponds to determining the singular solutions that have enveloping properties. The algorithm is practical and efficient because it is factorization free, unlike the previous such algorithm.
π SIMILAR VOLUMES
Let X be a Ξ΄-variety over some Ξ΄-field . Denote by td Ξ΄ X/ , or simply td Ξ΄ X if the ground field is understood, the Ξ΄-transcendental degree of X over . Suppose td Ξ΄ X = d; Johnson [Comment. Math. Helv. 44 (1969), 207-216] showed that there is an increasing chain of Ξ΄-subvarieties of length Οd in X.
for t G 3d, where d is the number of vertices of β¬.
Applying the techniques from Nevanlinna theory of value distribution theory of meromorphic functions on C n , we investigate the existence problem of some meromorphic solutions and obtain a satisfactory Malmquist type theorem for a class of algebraic partial differential equations on C n which impro