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On the Solvability of Certain Equations in Sequences of Positive Upper Logarithmic Density

✍ Scribed by Erdos, P.; Sarkozi, A.; Szemeredi, E.


Book ID
120098954
Publisher
Oxford University Press
Year
1968
Tongue
English
Weight
172 KB
Volume
s1-43
Category
Article
ISSN
0024-6107

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On the solvability of the positive real
✍ Augusto Ferrante; Luciano Pandolfi πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 143 KB

In this paper, we consider the classical equations of the positive real lemma under the sole assumption that the state matrix A has unmixed spectrum: (A) ∩ (-A) = βˆ…. Without any other system-theoretic assumption (observability, reachability, stability, etc.), we derive a necessary and su cient condi