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 entry we discuss and characterize Lyapunov stability for linear systems.
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© 2014 Springer-Verlag London
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Astolfi, A. (2014). Stability: Lyapunov, Linear Systems. In: Baillieul, J., Samad, T. (eds) Encyclopedia of Systems and Control. Springer, London. https://doi.org/10.1007/978-1-4471-5102-9_194-1
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DOI: https://doi.org/10.1007/978-1-4471-5102-9_194-1
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Publisher Name: Springer, London
Online ISBN: 978-1-4471-5102-9
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Latest
Stability: Lyapunov, Linear Systems- Published:
- 07 January 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_194-2
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Original
Stability: Lyapunov, Linear Systems- Published:
- 05 March 2014
DOI: https://doi.org/10.1007/978-1-4471-5102-9_194-1