Skip to main content
Log in

A mathematical model of a crystal oscillator and clock in the form of an augmented system of state equations

  • Time and Frequency Measurements
  • Published:
Measurement Techniques Aims and scope

Abstract

An analysis of a mathematical model of a crystal oscillator and clock and disturbances in the form of an augmented system of state equations is performed. By means of such a model, it is possible to synthesize an optimal frequency-time stabilization system for the GLONASS/GPS synchronizing reference receiver.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. Isserman, Digital Control System [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  2. V. N. Antonov, V. A. Terekhov, and I. Yu. Tyukin, Adaptive Control in Engineering Systems. A Textbook [in Russian], Izd-vo St. Pet. Un-ta, St. Petersburg, 2001.

    Google Scholar 

  3. L. N. Shchelovanov, G. S. Antonova, and E. M. Doronin, Foundations of Automatic Control Theory [in Russian], [in Russian], Izd-vo St. Pet. Un-ta, St. Petersburg, 1997.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Izmeritel’naya Tekhnika, No. 4, pp. 35–38, April, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikitin, A.V. A mathematical model of a crystal oscillator and clock in the form of an augmented system of state equations. Meas Tech 50, 397–402 (2007). https://doi.org/10.1007/s11018-007-0081-8

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11018-007-0081-8

Key words

Navigation