Contents V.17 N.2 2026

  • STABILITY OF SOLUTIONS OF EQUATIONS IN CONTINGENCIES
    S. AISAGALIEV, A. KABIDOLDANOVA (pp. 284-302)

    • Abstract.

    A new method is proposed for investigating the absolute stability of regulated sys tems in contingencies with limited nonlinearity by non-singular transformation of the equation of the system and evaluation of improper integrals along the solution of the system. The condi tions of absoluty stability have been obtained without involving the Lyapunov function and the frequency theorem. The effectiveness of the method is shown by the example of a third-order system.

    Keywords:

    non-singular transformation, improper integrals, limited nonlinearity, equations in contingencies, absolute stability.

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