Skip to main content
Log in

A new point of view on linear controlled objects

  • Published:
Journal of Dynamical and Control Systems Aims and scope Submit manuscript

Abstract

This paper contains some refined classical results from [1]–[4] as well as some new ones on time-optimal control problems for the case of linear controlled objects. It also contains a collection of examples to illustrate the obtained results.

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.V. Gamkrelidze, On the theory of optimal processes in linear systems. (Russian)Dokl. Akad. Nauk SSSR 116 (1957), No. 1, 9–11.

    Google Scholar 

  2. —, The theory of time-optimal processes in linear systems. (Russian)Izv. Akad. Nauk SSSR, Ser. Mat. 22 (1958), 449–474.

    Google Scholar 

  3. E. B. Lee and L. Marcus, Foundations of optimal control theory.Wiley, New York, 1967.

    Google Scholar 

  4. L.S. Pontryagin, V.G. Boltyanskii, R.V. Gamkrelidze, and E.F. Mishchenko, Mathematical theory of optimal control. (Russian).Fizmatgiz, Moscow, 1962.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boltyanskii, V.G. A new point of view on linear controlled objects. Journal of Dynamical and Control Systems 2, 69–87 (1996). https://doi.org/10.1007/BF02259623

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02259623

1991 Mathematics Subject Classification

Key words and phrases

optimal control

Navigation