Krister Forsman

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LINKÖPING This report and other reports from the automatic control group in Linkk oping are available by anonymous Abstract. We analyze Glad/Fliess algebraic observability for polynomial control systems from a commutative algebraic/algebro-geometric point of view. Furthermore we show some relations between algebraic observabil-ity and realization theory for(More)
LINKÖPING This report and other reports from the automatic control group in Linkk oping are available by anonymous Abstract. I reproduce an elementary proof for the jacobian criterion for algebraic dependence and give an introduction to the basics of KK ahler diierentials. All results presented are known, but some of them are not easily accessible, either(More)
This report collects some useful results from commutative algebra and describes how they can be used to decrease the complexity in Grr obner base computations. As a byproduct we see how Grr obner bases relate to characteristic sets. The algorithms presented are well known but have, as far as the author knows not been collected in one place earlier.
Lice and mites are highly contagious obligate parasites of humans and are spread by close, direct contact. Head, body, and pubic lice produce severely pruritic eruptions in their respective locations. Diagnosis is readily made by finding lice or nits on hair shafts, except in the case of body lice, which are found on the seams of clothing. Scabies often(More)
Methods from computer algebra, mostly so called Grr obner bases from commutative algebra, are used to solve the algebraic Riccati equation (ARE) symbolically. The methods suggested allow us to track the innuence of parameters in the system or penalty matrices on the solution. Some non-trivial aspects arise when addressing the problem from the point of view(More)