Open AccessA Perron-Frobenius Theorem for Positive Quasipolynomial Matrices Associated with Homogeneous Difference Equations
Author(s) -
The Anh Bui,
Duong Dang Xuan Thanh
Publication year - 2007
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2007/26075
Subject(s) - mathematics , homogeneous , stability (learning theory) , pure mathematics , mathematical analysis , combinatorics , computer science , machine learning
We extend the classical Perron-Frobenius theorem for positive quasipolynomial matrices associated with homogeneous difference equations. Finally, the result obtained is applied to derive necessary and sufficient conditions for the stability of positive system
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