Abstract
In this expository note it is shown that a cone version of the Perron-Frobenius theorem implies various generalizations of a matrix form of Lyapunov’s famous theorem:
Si les équations différentielles du mouvement troublé sont telles qu’il est possible de trouver une fonction définie V, dont la dérivée V soit une fonction de signe fixe et contraire à celui de V, ou se réduise identiquement à zéro, le mouvement non troublé est stable.
Work supported by NSF Grant DMS-9424346.
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Dedicated to Paul A. Fuhrmann on the occasion of his 60th birthday
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© 1997 Springer Fachmedien Wiesbaden
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Schneider, H. (1997). Lyapunov Revisited: Variations on a Matrix Theme. In: Helmke, U., Prätzel-Wolters, D., Zerz, E. (eds) Operators, Systems and Linear Algebra. European Consortium for Mathematics in Industry. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-663-09823-2_14
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DOI: https://doi.org/10.1007/978-3-663-09823-2_14
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