Skip to main content
Log in

Spectral Characteristics of the Linear Systems over a Bounded Time Interval

  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

Consideration was given to the spectral characteristics of the linear dynamic systems over a bounded time interval. Singular characteristics of standard dynamic blocks, transcendental characteristic equations, and partial spectra of the singular functions were studied. Relationship between the spectra under study and the classical frequency characteristic was demonstrated.

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.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  1. Balonin, N.A. and Mironovskii, L.A., Flip Method of Determining the Singular Functions of the Hankel Operator and the Convolution Operator, Avtom. Telemekh., 1999, no. 11, pp. 3–18.

  2. Balonin, N.A. and Mironovskii, L.A., Linear Operators of the Dynamic System, Avtom. Telemekh., 2000, no. 11, pp. 57–68.

  3. Pervozvanskii, A.A., Kurs teorii avtomaticheskogo upravleniya (A Course of the Automatic Control Theory), Moscow: Nauka, 1976.

    Google Scholar 

  4. Hsu, J.C. and Meyer, A.U., Modern Control Principles and Applications, New York: McGraw-Hill, 1968. Translated under the title Sovremennaya teoriya avtomaticheskogo upravleniya i ee primenenie, Moscow: Mashinostroenie, 1972.

    Google Scholar 

  5. Balonin, N.A., Mironovsky, L.A., and Petrova, X.Y., Finding Singular Functions of the Convolution Operator, Proc. 2nd Int. Conf. on Control of Oscillation and Chaos, St. Petersburg, 2000, vol. 3, pp. 414–417.

    Google Scholar 

  6. Ikramov, Kh.D., Chislennoe reshenie matrichnykh uravnenii (Numerical Solution of Matrix Equations), Moscow: Nauka, 1984.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Balonin, N.A., Mironovskii, L.A. Spectral Characteristics of the Linear Systems over a Bounded Time Interval. Automation and Remote Control 63, 867–885 (2002). https://doi.org/10.1023/A:1016154304227

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1016154304227

Keywords

Navigation