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On the principle of reduction for the nonlinear delay systems

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Abstract

Results were presented enabling one to reduce the problem equilibrium stability for multidimensional delay systems to a similar problem for more than one system of lower dimensionality. The results were established using fixed-sign (degenerate) Lyapunov functions and the limiting systems. The latter were constructed under more general assumptions about the right-hand side of the system than those used traditionally.

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  1. Ul’yanovsk State University, Ul’yanovsk, Russia

    N. O. Sedova

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Original Russian Text © N.O. Sedova, 2011, published in Avtomatika i Telemekhanika, 2011, No. 9, pp. 74–86.

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Sedova, N.O. On the principle of reduction for the nonlinear delay systems. Autom Remote Control 72, 1864–1875 (2011). https://doi.org/10.1134/S0005117911090086

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