Detail publikace

Canonization of dynamical system reprezentation using trivial linear transformations

Originální název

Canonization of dynamical system reprezentation using trivial linear transformations

Anglický název

Canonization of dynamical system reprezentation using trivial linear transformations

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

BibTex


@inproceedings{BUT91821,
  author="Jiří {Petržela} and Zdeněk {Hruboš} and Tomáš {Götthans}",
  title="Canonization of dynamical system reprezentation using trivial linear transformations",
  annote="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.",
  address="UREL FEKT VUT",
  booktitle="Proceedings of 22th International Conference Radioelektronika 2012",
  chapter="91821",
  howpublished="electronic, physical medium",
  institution="UREL FEKT VUT",
  year="2012",
  month="april",
  pages="1--4",
  publisher="UREL FEKT VUT",
  type="conference paper"
}