System identification: theory for the user
System identification: theory for the user
Interactive system identification: prospects and pitfalls
Interactive system identification: prospects and pitfalls
A Perturbation Analysis of the Generalized Sylvester Equation $(AR - LB, DR - LE) = (C, F)$
SIAM Journal on Matrix Analysis and Applications
Journal of Computational and Applied Mathematics
LAPACK Users' guide (third ed.)
LAPACK Users' guide (third ed.)
Introduction to Physical Modeling with Modelica
Introduction to Physical Modeling with Modelica
Singular Control Systems
Stochastic differential algebraic equations of index 1 and applications in circuit simulation
Journal of Computational and Applied Mathematics
Brief paper: Issues in sampling and estimating continuous-time models with stochastic disturbances
Automatica (Journal of IFAC)
Hi-index | 22.15 |
The current demand for more complex models has initiated a shift away from state-space models towards models described by differential-algebraic equations (DAEs). These models arise as the natural product of object-oriented modeling languages, such as Modelica. However, the mathematics of DAEs is somewhat more involved than the standard state-space theory. The aim of this work is to present a well-posed description of a linear stochastic differential-algebraic equation and more importantly explain how well-posed estimation problems can be formed. We will consider both the system identification problem and the state estimation problem. Besides providing the necessary theory we will also explain how the procedures can be implemented by means of efficient numerical methods.