IJPAM: Volume 98, No. 3 (2015)

EXPONENTIAL DELAY POLYNOMIALS OF DISCRETE
DELAY DETERMINANT WITH BLOOD
CELLS TRANSFORMATION

M. Vidhya$^1$, S. Balamuralitharan$^2$, A. Govindarajan$^3$
$^1$Department of Mathematics
Sathyabama University
Chemanchery, Sholinganallur, 600 119, Tamil Nadu, INDIA
$^{2,3}$Department of Mathematics
Faculty of Engineering and Technology
SRM University
Kattankulathur, 603 202, Tamil Nadu, INDIA


Abstract. The purpose of this paper is to investigate the exponential delay polynomials of discrete delay determinant with blood cells transformation. By using symmetric functions, a number of new delay criteria are provided. It is shown that a discrete system with delays can be stabilized by shift operators even if it may be stable itself. The duality between the substractions on the set of biexponents and the movements of cells in the delay will be extensively employed throughout this paper, explicitly or implicitly. Some theorems and examples are also presented to illustrate the effectiveness and the superiority of the obtained results.

Received: December 12, 2014

AMS Subject Classification: 11L07, 05E05, 05E10, 47B37

Key Words and Phrases: delay determinant, exponential delay, symmetric function, shift operator

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DOI: 10.12732/ijpam.v98i3.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 98
Issue: 3
Pages: 399 - 411


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