Abstract
In this paper we propose the upper, and in some cases, lower bounds for norm of solution of linear discrete time-varying system by coefficients matrices. We show that our estimates have two merits. Firstly, we do not need to know eigenvalues or spectral norm of matrices because we can simply calculate it by matrix coefficients. Secondly, our bounds are also valid in case of singular matrices. Moreover, in the paper we present an upper estimate for stationary system.
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Czornik, A., Nawrat, A., Niezabitowski, M. (2013). Estimation of Solution of Discrete Linear Time-Varying System. In: Nawrat, A., Kuś, Z. (eds) Vision Based Systemsfor UAV Applications. Studies in Computational Intelligence, vol 481. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00369-6_20
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DOI: https://doi.org/10.1007/978-3-319-00369-6_20
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00368-9
Online ISBN: 978-3-319-00369-6
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