@misc{Bartecki_Krzysztof_Approximate,
 author={Bartecki, Krzysztof},
 howpublished={online},
 publisher={Zielona Góra: Uniwersytet Zielonogórski},
 language={eng},
 abstract={Two approximate representations are proposed for distributed parameter systems described by two linear hyperbolic PDEs with two time- and space-dependent state variables and two collocated boundary inputs. Using the method of lines with the backward difference scheme, the original PDEs are transformed into a set of ODEs and expressed in the form of a finite number of dynamical subsystems (sections).},
 abstract={Each section of the approximation model is described by state-space equations with matrix-valued state, input and output operators, or, equivalently, by a rational transfer function matrix. The cascade interconnection of a number of sections results in the overall approximation model expressed in finite-dimensional state-space or rational transfer function domains, respectively. The discussion is illustrated with a practical example of a parallel-flow double-pipe heat exchanger.},
 abstract={Its steady-state, frequency and impulse responses obtained from the original infinite-dimensional representation are compared with those resulting from its approximate models of different orders. The results show better approximation quality for the ?crossover? input-output channels where the in-domain effects prevail as compared with the ?straightforward? channels, where the time-delay phenomena are dominating.},
 type={artykuł},
 title={Approximate state-space and transfer function models for 2x2 linear hyperbolic systems with collocated boundary inputs},
 keywords={distributed parameter system, hyperbolic equations, approximation model, state space, transfer function},
}