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Erschienen in:
1986 | OriginalPaper | Buchkapitel
A characterization of stable matrices. Computational criteria
verfasst von : J. P. LaSalle
Erschienen in: The Stability and Control of Discrete Processes
Verlag: Springer New York
Enthalten in: Professional Book Archive
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We saw earlier in Section 3 that r(A) < 1 was a necessary condition for A to be stable. We now want to see that this condition is also sufficient and will prove this using the algorithm of the previous section. We give first an inductive and elementary proof, and then look at another proof that is more sophisticated and teaches us something about nonnegative matrices, which arise in and are important for many applications.