On Delay-Dependent Stability Conditions for a Three-Term Linear Difference Equation

Author:

Čermák Jan1,Tomášek Petr1

Affiliation:

1. Brno University of Technology

Publisher

Division of Functional Equations, The Mathematical Society of Japan (JST)

Subject

Geometry and Topology,Algebra and Number Theory,Analysis

Reference19 articles.

1. [1] Čermák, J., Jánský, J., Kundrát, P., On necessary and sufficient conditions for the asymptotic stability of higher order linear difference equations, J. Difference Equ. Appl., 18 (2012), 1781-1800.

2. [2] Cheng, S. S., Huang, S. Y., Alternate derivations of the stability region of a difference equation with two delays, Appl. Math. E-Notes, 9 (2009), 225-253.

3. [3] Dannan, F. M., The asymptotic stability of x(n + k) + ax(n) + bx(nl) = 0, J. Difference Equ. Appl., 10 (2004), 589-599.

4. [4] Elaydi, S., An Introduction to Difference Equations, Undergraduate Texts in Mathematics, Springer, New York, 2005.

5. [5] Freedman, H. I., Kuang, Y., Stability switches in linear scalar neutral delay equations, Funkcial. Ekvac., 34 (1991), 187-209.

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