Paper Info
Title
On the nature and stability of differential-algebraic systems
Abstract
Nonlinear dynamical systems described by a class of higher index differential-algebraic equations (DAE) are considered. A quantitative and qualitative analysis of their nature and of the stability properties of their solution is presented. Using tools from geometric control theory, higher index differential-algebraic systems are shown to be inherently unstable about their solution manifold. A qualitative geometric interpretation is given, and the consequences of this instability are discussed, in particular as they relate to the numerical solution of these systems. The paper concludes with ideas and directions for future research.
Year
DOI
Venue
2002
10.1109/ACC.2002.1024478
American Control Conference, 2002. Proceedings of the 2002  
Keywords
DocType
Volume
algebra,differential equations,geometry,nonlinear dynamical systems,stability,differential-algebraic system stability,geometric control theory,high-index DAE,high-index differential-algebraic equations,nonlinear dynamical systems,qualitative analysis,quantitative analysis
Conference
5
ISSN
Citations 
PageRank 
0743-1619
2
0.66
References 
Authors
2
2
Name
Order
Citations
PageRank
Danielle C. Tarraf117719.65
H. Harry Asada2856217.74