Relations between Bohl exponents and general exponent of discrete linear time-varying systems |
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| Authors: | Artur Babiarz Adam Czornik Michał Niezabitowski |
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| Affiliation: | 1. Silesian University of Technology, Institute of Automatic Control, Gliwice, Poland;2. Faculty of Mathematics, Physics, and Chemistry, Institute of Mathematics, University of Silesia, Katowice, Poland |
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| Abstract: | In the paper, properties of the upper Bohl exponents and senior upper general exponent of discrete linear time-varying systems are investigated. The relation of these exponents to uniform exponential stability is discussed. Moreover, an example of system, which is not uniformly exponentially stable but each trajectory tends uniformly and exponentially to zero is provided. |
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| Keywords: | Uniform exponential stability discrete linear time-varying systems Bohl exponents senior upper general exponent Lyapunov exponents |
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