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Duong Dang Xuan Thanh (2007). A Perron-Frobenius Theorem for Positive Quasipolynomial Matrices Associated with Homogeneous Difference Equations
Department of Mathematics, University of Ton Duc Thang, 98 Ngo Tat To Street, HoChiMinh City 70000, Vietnam

Abstract: 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.( download full text pdf | On Journal of Applied Mathematics )