International Applied Mechanics

, Volume 47, Issue 1, pp 86–96 | Cite as

Revisiting the theory of stability on time scales of the class of linear systemswith structural perturbations


Linear systems of dynamic equations with periodic coefficients and structural perturbations on time scale are analyzed for Lyapunov stability. Sufficient conditions for the asymptotic stability of the equations are established based on the matrix-value concept of Lyapunov’s direct method for all values of the structural matrix from the structural set. A system of two dynamic equations on time scale is considered as an example of applying the theoretical results obtained


asymptotic stability structural perturbations time scale dynamic equations Lyapunov’s direct method 


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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  1. 1.S. P. Timoshenko Institute of MechanicsNational Academy of Sciences of UkraineKyivUkraine

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