Properties of the matrizant of a linear system with pulse action at fixed times

Using an estimate for the matrizant of a linear system without pulse action, we obtain an exponential estimate for the matrizant of the corresponding system with pulse action at fixed times. The behavior of the partial derivatives of this matrizant with respect to a small parameter ε is examined.

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Bibliographische Detailangaben
Veröffentlicht in:	Nonlinear oscillations 2011-06, Vol.14 (1), p.86-94
Hauptverfasser:	Petryshyn, R. I., Sopronyuk, T. M.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Using an estimate for the matrizant of a linear system without pulse action, we obtain an exponential estimate for the matrizant of the corresponding system with pulse action at fixed times. The behavior of the partial derivatives of this matrizant with respect to a small parameter ε is examined.
ISSN:	1536-0059 1536-0059
DOI:	10.1007/s11072-011-0143-3