New Algorithm Based on Sign Decomposition to Verify the Robust Stability Property for a Class of Linear Time-Delay Systems

Abstract EN

The main focus of this paper is to analyze therobust stability property for a class of time-delay systems whenparametric polynomic uncertainty is considered.

The analysisis made by replacing the time-delay part with an auxiliaryequation and then using the sign definite decomposition todeal with the polynomic parametric uncertainty.

Also, it isshown that it is possible to verify the robust stability propertyby first obtaining the Hurwitz matrix from the characteristicequation for this class of systems and then checking the leadingprincipal minors positivity using the sign definite decomposition.

Finally, an algorithm codified in MATLAB is used to evaluate andgraphically show the robust stability property.

This is shown bya series of points that were calculated using the sign definitedecomposition.