A. P. Zhabko, O. N. Chizhova, “Stability analysis of homogeneous differential-difference equation with linear delay”, Vestnik S.-Petersburg Univ. Ser. 10. Prikl. Mat. Inform. Prots. Upr., 2015, Issue 3,Pages <nobr>105

This article is cited in 4 papers

Control processes

Stability analysis of homogeneous differential-difference equation with linear delay

A. P. Zhabko, O. N. Chizhova

St. Petersburg State University, 7/9, Universitetskaya embankment, St. Petersburg, 199034, Russian Federation

Abstract: A homogeneous differential-difference equation with linearly increasing time delay is considered. Some sufficient conditions for asymptotic stability and instability of zero solution well-known for the linear equation with linearly increasing time delay are summarized in homogeneous equations. The speed of solution decreasing is estimated. Refs 20.

Keywords: homogeneous differential-difference equation, linearly increasing time delay, asymptotic stability, instability.

UDC: 517.929.4

Received: April 30, 2015