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Stability investigation of quadratic systems with delay

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  • Vladimir Davydov
  • Denis Khusainov

Abstract

Systems of differential equations with quadratic right-hand sides with delay are considered in the paper. Compact matrix notation form is proposed for the systems of such type. Stability investigations are performed by Lyapunov's second method with functions of quadratic form. Stability conditions of quadratic systems with delay, uniformly by argument deviation, and with delay depending on the system's parameters are derived. A guaranteed radius of the ball of asymptotic stability region for zero solution is obtained.

Suggested Citation

  • Vladimir Davydov & Denis Khusainov, 2000. "Stability investigation of quadratic systems with delay," International Journal of Stochastic Analysis, Hindawi, vol. 13, pages 1-8, January.
    • Handle: RePEc:hin:jnijsa:478109
    DOI: 10.1155/S1048953300000095
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