Mathematics – Optimization and Control
Scientific paper
2010-04-16
Journal of Symbolic Computation 46(2011) 1189-1204
Mathematics
Optimization and Control
Scientific paper
10.1016/j.jsc.2011.08.001
Linear exact modeling is a problem coming from system identification: Given a set of observed trajectories, the goal is find a model (usually, a system of partial differential and/or difference equations) that explains the data as precisely as possible. The case of operators with constant coefficients is well studied and known in the systems theoretic literature, whereas the operators with varying coefficients were addressed only recently. This question can be tackled either using Gr\"obner bases for modules over Ore algebras or by following the ideas from differential algebra and computing in commutative rings. In this paper, we present algorithmic methods to compute "most powerful unfalsified models" (MPUM) and their counterparts with variable coefficients (VMPUM) for polynomial and polynomial-exponential signals. We also study the structural properties of the resulting models, discuss computer algebraic techniques behind algorithms and provide several examples.
Levandovskyy Viktor
Schindelar Kristina
Zerz Eva
No associations
LandOfFree
Exact linear modeling using Ore algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact linear modeling using Ore algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact linear modeling using Ore algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-69427