Publication detail

Evaluation of Variances in Hybrid MTL Systems with Stochastic Parameters via SDAE Approach

BRANČÍK, L. KOLÁŘOVÁ, E.

Original Title

Evaluation of Variances in Hybrid MTL Systems with Stochastic Parameters via SDAE Approach

Type

abstract

Language

English

Original Abstract

In the paper, an attention is paid to hybrid (lumped-distributed) systems with the MTLs as their distributed parts, whereas parameters of the system can vary randomly. In case of the MTL itself, with rather simple terminating elements, just the SDE theory would be applicable when taking into account some proper numerical technique. Usually, evaluation of the dispersion of responses of the system is needed which can be resolved via confidence intervals determination. To do it, either the solution of the SDE and subsequent statistical processing is applied or the direct solution of variances via Lyapunov-like equations can be performed. In hybrid systems, however, due to lumped-parameter parts included, a non-differential (algebraic) part is generally present in respective mathematical model. Therefore, a stochastic differential-algebraic equation (SDAE) approach has to be considered. The SDAE solution is more complicated in general while a proper numerical technique has to be chosen. In this paper a way of direct solution of variances and confidence intervals is elaborated to be able to avoid the SDAE solution itself, namely by formulating and numerically solving Lyapunov-like equations adapted for hybrid MTL systems. All the computations are done by using the Matlab language, with some examples provided.

Keywords

hybrid system; multiconductor transmission line; stochastic differential-algebraic equation; Lyapunov equation; variance; confidence interval; Matlab

Authors

BRANČÍK, L.; KOLÁŘOVÁ, E.

Released

8. 8. 2016

Publisher

IEEE

Location

Shanghai, China

ISBN

978-1-5090-6093-1

Book

2016 Progress In Electromagnetics Research Symposium (PIERS)

Pages from

3256

Pages to

3256

Pages count

1

URL

https://ieeexplore.ieee.org/document/7735275

BibTex

@misc{BUT131249,
  author="Lubomír {Brančík} and Edita {Kolářová}",
  title="Evaluation of Variances in Hybrid MTL Systems with Stochastic Parameters via SDAE Approach",
  booktitle="2016 Progress In Electromagnetics Research Symposium (PIERS)",
  year="2016",
  pages="3256--3256",
  publisher="IEEE",
  address="Shanghai, China",
  doi="10.1109/PIERS.2016.7735275",
  isbn="978-1-5090-6093-1",
  url="https://ieeexplore.ieee.org/document/7735275",
  note="abstract"
}