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Stability of solutions of differential equations under generalized pulse perturbations

  • Stability of Systems
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Abstract

Consideration was given to stability of the solution of the system of differential equations to the function of a locally bounded variation added to the right-hand side of the derivative (understood in the general sense). Simple attributes of stability and asymptotic stability were established for different classes of these equations.

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References

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Original Russian Text © A.D. Myshkis, 2007, published in Avtomatika i Telemekhanika, 2007, No. 10, pp. 125–133.

This work was supported by the Russian Foundation for Basic Research, project no. 06-01-00356.

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Myshkis, A.D. Stability of solutions of differential equations under generalized pulse perturbations. Autom Remote Control 68, 1844–1851 (2007). https://doi.org/10.1134/S0005117907100116

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  • DOI: https://doi.org/10.1134/S0005117907100116

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