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- W2101962036 abstract "This paper deals with the study of uniform asymptotic stability of the measure differential system Dx = F ( t, x ) + G ( t, x ) Du , where the symbol D stands for the derivative in the sense of distributions. The system is viewed as a perturbed system of the ordinary differential system x' = F ( t, x ), where the perturbation term G ( t, x ) Du is impulsive and the state of the system changes suddenly at the points of discontinuity of u . It is shown, under certain conditions, that the uniform asymptotic stability property of the unperturbed system is shared by the perturbed system. To do this, the well-known Gronwall integral inequality is generalized so as to be applicable to Lebesgue-Stieltjes integrals." @default.
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- W2101962036 date "1977-12-01" @default.
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- W2101962036 title "On the stability of impulsively perturbed differential systems" @default.
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- W2101962036 doi "https://doi.org/10.1017/s0004972700010698" @default.
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