This article is cited in 42 papers

Deterministic Systems

Stability of the trinomial linear difference equations with two delays

M. M. Kipnis, R. M. Nigmatulin

Chelyabinsk State Pedagogical University

Abstract: For the zero solution of the difference equation $x(n)=ax(n-m)+bx(n-k)$ with arbitrary delays $k,m$, the formulas of the stability domain boundaries were derived. For different $k$ and $m$, the stability domains were compared in the quadrants of the plane $(a,b)$.

Presented by the member of Editorial Board: B. T. Polyak

Received: 30.12.2002

 English version: Automation and Remote Control, 2004, 65:11, 1710–1723

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