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Stability analysis of discrete systems

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Abstract

The present review includes the following sections: formulation of the stability problem for discrete systems, parameter-variation formula and comparison method, development of Lyapunov's direct method for discrete systems, sufficient conditions for the practical stability of a discrete system, conditions for the stability of a discrete system on a finite interval, application of Lyapunov's vector functions, and closing remarks.

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Authors
  1. A. A. Martynyuk
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Additional information

S.P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 7, pp. 3–34, July, 2000.

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Martynyuk, A.A. Stability analysis of discrete systems. Int Appl Mech 36, 835–865 (2000). https://doi.org/10.1007/BF02682295

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