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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 789-790Properties of the Lower Bohl Exponents of Diagonal...

Properties of the Lower Bohl Exponents of Diagonal Discrete Linear Time-Varying Systems

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Abstract:

The Bohl exponents, similarly as Lyapunov exponents, are one of the most important numerical characteristics of dynamical systems used in control theory. Properties of the Lyapunov characteristics are well described in the literature. Properties of the second above-mentioned exponents are much less investigated in the literature. In this paper we show an example of two-dimensional discrete time-varying linear system with bounded coefficients for which the number of lower Bohl exponents of solutions may be greater than dimension of the system.

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Manufacturing Science and Technology VI

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Periodical:

Applied Mechanics and Materials (Volumes 789-790)

Pages:

1052-1058

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.789-790.1052

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Online since:

September 2015

Authors:

Michał Niezabitowski

Keywords:

Lower Bohl Exponent, Lyapunov Exponent, Stability of Linear Systems, Time-Varying Systems

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