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Your search keyword '"Niculescu, Silviu-Iulian"' showing total 2 results
Start Over Author "Niculescu, Silviu-Iulian" Topic delay differential equations Publisher academie des science, centre mersenne
2 results on '"Niculescu, Silviu-Iulian"'

1. A toric Positivstellensatz with applications to delay systems

Author

Niculescu, Silviu-Iulian and Putinar, Mihai

Subjects
*POLYNOMIALS, *TORUS, *DELAY differential equations, *VERONESE surfaces, *ALGEBRAIC geometry, *LINEAR systems, *STABILITY (Mechanics), *HYPERBOLIC geometry
Abstract

Abstract: The structure of positive polynomials on a torus is derived from recent results of real algebraic geometry. As an application, we propose some simple conditions for testing the hyperbolicity/stability of a generic class of linear systems of retarded type. [Copyright &y& Elsevier]

Published
2011
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2. The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: When delay-systems characteristics meet the zeros of Kummer functions.

Author

Boussaada, Islam, Mazanti, Guilherme, and Niculescu, Silviu-Iulian

Subjects
*FUNCTIONAL differential equations, *LINEAR differential equations, *DELAY differential equations, *EQUATIONS, *INTEGRAL representations, *HYPERGEOMETRIC functions, *CHARACTERISTIC functions
Abstract

In this paper, which is a direct continuation and generalization of the recent works by the authors [17, 35], we show the validity of the generic multiplicity-induced-dominancy property for a general class of linear functional differential equations with a single delay, including the retarded as well as the neutral cases. The result is based on an appropriate integral representation of the corresponding characteristic quasipolynomial functions involving some appropriate degenerate hypergeometric functions. [ABSTRACT FROM AUTHOR]

Published
2022
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