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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 印刷: 1064-2315
ISSN オンライン: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v45.i2.20
pages 13-23

Quadratic Systems with Delay

Irada A. Dzhalladova
Vadym Hetman Kiev National Economic University
Denis Ya. Khusainov
Kiev National Taras Shevchenko University, Kiev

要約

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.

参考

  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].


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