Brief paper: On robust stability of LTI fractional-order delay systems of retarded and neutral type
Automatica (Journal of IFAC)
SIAM Journal on Control and Optimization
Brief Analysis of fractional delay systems of retarded and neutral type
Automatica (Journal of IFAC)
A note on the use of the Lambert W function in the stability analysis of time-delay systems
Automatica (Journal of IFAC)
A numerical algorithm for stability testing of fractional delay systems
Automatica (Journal of IFAC)
An effective analytical criterion for stability testing of fractional-delay systems
Automatica (Journal of IFAC)
Hi-index | 22.14 |
This paper presents a new method for assessing the bounded input bounded output stability of a class of fractional delay systems with commensurate orders and multiple commensurate delays of retarded type. In the proposed method, first, by mapping the principal sheet of the Riemann surface and a pseudo-delay transformation, an auxiliary polynomial is generated. Then, this auxiliary polynomial is employed to find roots of the characteristic equation on the imaginary axis. The properties of the root path close to these roots are used to identify intervals of delay values, in which the system is stable. The obtained results are illustrated via some numerical examples.