Le Ha Vy Nguyen

Stabilization of Some Fractional Neutral Delay Systems Which Possibly Possess an Infinite Number of Unstable Poles

We consider fractional delay systems of neutral type and prove that many systems with infinitely many unstable poles cannot be stabilized by the class of rational fractional controllers of commensurate order. For a class of fractional neutral delay systems with an infinite number of poles asymptotic to the imaginary axis from the right or left hand side, we are able to derive a parametrization of all stabilizing controllers from fractional PI controllers obtained from previous work.

Stability analysis of fractional neutral time-delay systems with multiple chains of poles asymptotic to same points in the imaginary axis

We consider a large class of fractional delay systems with many neutral chains of poles approaching a same set of points on the imaginary axis. As a primary work regarding H∞-stability analysis, high modulus poles of neutral chains are approximated.

Analysis of Neutral Systems with Commensurate Delays and Many Chains of Poles Asymptotic to Same Points on the Imaginary Axis

Abstract We investigate the location of poles of neutral systems with many chains of poles asymptotic to same points on the imaginary axis, this question being the first step towards stability analysis. In many cases, chains of poles are located on both sides of the imaginary axis implying then instability.

Hinfty-stability analysis of fractional delay systems of neutral type

In this paper we consider linear fractional systems of commensurate orders and with commensurate delays, whose characteristic equation is a polynomial in the two variables

H ∞ -Stability Analysis of (Fractional) Delay Systems of Retarded and Neutral Type with the Matlab Toolbox YALTA

s^\alpha

Right coprime factorizations of MISO fractional time-delay systems

(0 0

Coprime factorizations of MISO fractional time-delay systems

). These systems may have single or multiple chains of poles asymptotic to the imaginary axis. Location of poles of large modulus belonging to these chains are determined by approximation and simple necessary and sufficient

Hinfty-stability analysis of various classes of neutral time-delay systems with chains of poles approching the imaginary axis

H_\infty

Stabilizability properties of fractional delay systems of neutral type

-stability conditions are derived.