Abstract
The notion of stability allows to study the qualitative behavior of dynamical systems. In particular it allows to study the behavior of trajectories close to an equilibrium point or to a motion. The notion of stability that we discuss has been introduced in 1882 by the Russian mathematician A.M. Lyapunov in his doctoral thesis; hence it is often referred to as Lyapunov stability. In this article we discuss and characterize Lyapunov stability for linear systems.
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Astolfi, A. (2021). Stability: Lyapunov, Linear Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, Cham. https://doi.org/10.1007/978-3-030-44184-5_194
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DOI: https://doi.org/10.1007/978-3-030-44184-5_194
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-44183-8
Online ISBN: 978-3-030-44184-5
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