Publication detail

Canonization of dynamical system reprezentation using trivial linear transformations

PETRŽELA, J. HRUBOŠ, Z. GÖTTHANS, T.

Original Title

Canonization of dynamical system reprezentation using trivial linear transformations

Type

conference paper

Language

English

Original Abstract

This brief paper brings a demonstration how the linear transformation of the coordinates including state variable offsets can simplify the final circuit realization of a third-order autonomous deterministic dynamical system. The structures of the individual derived analog oscillators are canonical in the sense of minimum active devices utilized to synthesize both linear and nonlinear part of the vector field. Since the studied mathematical models consist of two quadratic polynomials maximal network design efficiency provided by multiplier transfer function must be achieved. Several implementations have been verified by using Orcad Pspice circuit simulator.

Keywords

Circuit synthesis, analog oscillator, third-order system, modern active elements

Authors

PETRŽELA, J.; HRUBOŠ, Z.; GÖTTHANS, T.

RIV year

2012

Released

17. 4. 2012

Publisher

UREL FEKT VUT

Location

Brno

ISBN

978-80-214-4468-3

Book

Proceedings of 22th International Conference Radioelektronika 2012

Pages from

1

Pages to

4

Pages count

4

BibTex

@inproceedings{BUT91821,
  author="Jiří {Petržela} and Zdeněk {Hruboš} and Tomáš {Götthans}",
  title="Canonization of dynamical system reprezentation using trivial linear transformations",
  booktitle="Proceedings of 22th International Conference Radioelektronika 2012",
  year="2012",
  pages="1--4",
  publisher="UREL FEKT VUT",
  address="Brno",
  isbn="978-80-214-4468-3"
}