Alexander Aleksandrov, Elena Aleksandrova, Alexey Zhabko, "Asymptotic Stability Conditions for Certain Classes of Mechanical Systems with Time Delay," WSEAS Transactions on Systems and Control, vol. 9, pp. 388-397, 2014, DOI:
Alexander Aleksandrov, Elena Aleksandrova, Alexey Zhabko. Asymptotic Stability Conditions for Certain Classes of Mechanical Systems with Time Delay.
WSEAS Transactions on Systems and Control. 2014;9:388-397.
WSEAS Transactions on Systems and Control
Print ISSN: 1991-8763, E-ISSN: 2224-2856
Volume 9, 2014
Asymptotic Stability Conditions for Certain Classes of Mechanical Systems with Time Delay
Authors: , ,
Abstract: The stability of the trivial equilibrium position of certain classes of mechanical systems with time-varying delay is studied. The considered systems are described by the second order differential equations in the Lagrange form. It is assumed that velocity forces are linear, whereas for positional forces both linear case and essentially nonlinear one are investigated. On the basis of the decomposition method, sufficient conditions of the asymptotic stability of the equilibrium position are found. It is shown that the proposed approach can be used for the stability analysis of hybrid mechanical systems with switched positional forces. Three examples are presented to demonstrate the effectiveness of the obtained results.
Pages: 388-397 WSEAS Transactions on Systems and Control, ISSN / E-ISSN: 1991-8763 / 2224-2856, Volume 9, 2014, Art. #40 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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