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On the exponential exponents of discrete linear systems |
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| Authors: | Adam Czornik Piotr Mokry Aleksander Nawrat |
| Institution: | Department of Automatic Control, Silesian Technical University, ul. Akademicka 16, 44-101 Gliwice, Poland |
| Abstract: | In this paper we introduce the concepts of exponential exponents of discrete linear time varying systems. It is shown that these exponents describe the possible changes in the Lyapunov exponents under perturbation decreasing at infinity at exponential rate. Finally we present formulas for the exponential exponents in terms of the transition matrix of the system. |
| Keywords: | Time varying discrete linear systems Lyapunov exponents Perturbation theory Characteristic exponents |
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