Abo Bibliothek: Guest
Journal of Automation and Information Sciences

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Quadratic Systems with Delay

Volumen 45, Ausgabe 2, 2013, pp. 13-23
DOI: 10.1615/JAutomatInfScien.v45.i2.20
Get accessGet access

ABSTRAKT

The systems of nonlinear differential equations with constant delay are under consideration. Nonlinearity of quadratic type is investigated. The system of equations are presented in special unified vector-matrix form. We investigate stability of stationary position of equilibrium state, which is located in the first quadrant of coordinate system. The second Lyapunov method is accepted as techniques for investigation of quadratic functions type with the Razumikhin condition.

REFERENZEN
  1. Volterra V. , Mathematical theory of struggle for existence [Russian translation].

  2. Smith J. , Models in ecology [Russian translation].

  3. Kolmanovskiy V.B. , Equations with after-effect and mathematical modeling.

  4. Khusainov D.Ya., Dzhalladova I.A., Shatyrko O.A. , Estimate of stability domain of differential system with quadratic right-hand part.

  5. Demidovich B.P. , Lectures on mathematical theory of stability [in Russian].

  6. Elsgolts L.E. , Introduction to differential equations with deviating argument [in Russian].

  7. Kolmanovskiy V.B., Nosov V.R. , Stability and periodic modes of controllable systems with after-effect [in Russian].

  8. Khusainov D.Ya., Shatyrko A.V. , The Lyapunov functions method in investigation of stability of differential-functional systems [in Russian].

  9. Chikriy A.A. , Conflict-controlled processes [in Russian].

Digitales Portal Digitale Bibliothek eBooks Zeitschriften Referenzen und Berichte Forschungssammlungen Preise und Aborichtlinien Begell House Kontakt Language English 中文 Русский Português German French Spain