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Engineering Physics

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Instability of a Conservative System With a Small Delay
Tumanov M.P., Abdullin S.R., Pham Xuan Fang

The article studies the unusual effect of time delay on conservative systems. It is shown that accounting for time delay can lead to system instability and loss of conservativity, and a theorem is
proved that this is likely to occur for sufficiently small time delays. The results of the calculations
are confirmed by simulations in the Matlab/Simulink environment (or its Russian equivalent Engee)
Keywords: delay, conservative system, roots of the characteristic equation, stability, quasi-polynomial, oscillator.


DOI: 10.25791/infizik.6.2026.1556

Pp. 03-08.

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