Effective algorithms for parametrizing linear control systems over Ore algebras
Applicable Algebra in Engineering, Communication and Computing, 16 (2005), 319-376
[.pdf]
We give explicit examples as illustration of the above paper. In the following, we provide
Maple worksheets which deal with controllability, parametrizability, flatness
and pi-freeness of some time-invariant/time-varying linear OD systems, differential time-delay systems
and systems of PDE with constant or variable coefficients. The computational tool
is the Maple package OreModules.
In these examples, the most time comsuming computation is
that of the extension modules (see paper). We give some timings for these
operations. All examples were run on a Pentium III, 1 GHz with 1 GB RAM.
But these worksheets can be run also with minor equipment.
Maple worksheets:
See also the Library of Examples.