Stability Analysis of a Linear Neutral Differential Equation

Abstract

The main aim of this study is to give the stability analysis of linear neutral differential equations. As a special case, the third order linear neutral differential equation is considered and its characteristic equation is examined for the stability properties. The method used here is to analyze the roots of the third order characteristic equation by using the Sturm sequence. The given last theorem emphasizes the conditions obtained for getting positive real roots and also the importance of the system parameters for this situation.

Keywords

• Linear neutral differential equation
• Stability analysis
• Sturm sequence

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