Asymptotic stability of a linear impulse system of Itô differential equations with linear delays

R. I. Kadiev

Daghestan Scientific Centre of Russian Academy of Sciences

Abstract: Questions are investigated asymptotic $p$-stability ($ 2\le p < \infty$) trivial solutions of rather initial data for the linear uniform pulse system of the differential equations of Ito with the linear delays. Research is conducted by method auxiliary or model equations. Sufficient stability conditions are received in terms of parameters of the studied system.

Keywords: stability of decisions, differential Ito's equations with pulse influences, linear delays.

UDC: 517.929.4+519.21

Received: 01.08.2016
Revised: 27.09.2016
Accepted: 28.09.2016

DOI: 10.31029/demr.6.4

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