Abonnement à la biblothèque: Guest
Journal of Automation and Information Sciences

Publication de 12  numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Optimization of Linear Dynamical Systems by Functional Analysis Methods

Volume 51, Numéro 2, 2019, pp. 50-57
DOI: 10.1615/JAutomatInfScien.v51.i2.60
Get accessGet access

RÉSUMÉ

Practical tools of functional analysis methods were suggested for solving typical optimization problems of linear dynamical systems. Implementation of the suggested methods is shown by the examples, where it was shown that in certain cases analytical solving of optimization problems without the use of numerical procedures and supplementary simplification conditions is possible

RÉFÉRENCES
  1. Pontryagin L.S., Boltyanskiy V.G., Gamkrelidze R.V., Mishchenko E.F., Mathematical theory of optimal processes [in Russian], Nauka, Moscow, 1969.

  2. Michael Athans, Peter L., Falb optimal control: an introduction to the theory and its applications, Courier Corporation, 2006.

  3. Yurevich E.I., Theory of automatic control, 4-th ed. [in Russian], BHV-Peterburg, Saint-Peterburg, 2016.

  4. Krasovskiy N.N., To the theory of optimal control, Automation and control, 1957, 18, No. 11, 960–970.

  5. Krein M.G., Akhiezer N.I., On certain questions of the theory of moments [in Russian], GNTI of Ukraine, Kharkov, 1938.

  6. Kulikovskiy R., Optimal and adaptive processes in systems of automatic control [in Russian], Nauka, Moscow, 1967.

  7. Kolesnikov A.A., Sinergetic control theory [in Russian], Energoatomizdat, Moscow, 1994.

  8. Sobolev L.S., Some applications of functional analysis in mathematical physics [in Russian], Nauka, Moscow, 1988.

  9. Gabasov R.F., Kirillova F.M., Optimization of linear systems. Methods of functional analysis [in Russian], Izdatelstvo BGU imeni Lenina, Minsk, 1973.

  10. Bellman R., Kalaba R., Dynamic programming and the modern theory of control [Russian translation], Nauka, Moscow, 1969.

Portail numérique Bibliothèque numérique eBooks Revues Références et comptes rendus Collections Prix et politiques d'abonnement Begell House Contactez-nous Language English 中文 Русский Português German French Spain