Analysis and design of fractional-order digital control systems
Systems Analysis Modelling Simulation
Brief paper: Stabilization of some fractional delay systems of neutral type
Automatica (Journal of IFAC)
Brief Analysis of fractional delay systems of retarded and neutral type
Automatica (Journal of IFAC)
A numerical algorithm for stability testing of fractional delay systems
Automatica (Journal of IFAC)
A graphical test for the interval stability of fractional-delay systems
Computers & Mathematics with Applications
Automatica (Journal of IFAC)
Fractional models for modeling complex linear systems under poor frequency resolution measurements
Digital Signal Processing
| Hi-index | 22.15 |
This paper investigates the BIBO stability of a class of fractional-delay systems with rational orders, a stability that holds true if all the characteristic roots have negative real parts only. Based on the Argument Principle for complex functions as well as Hassard's technique for ordinary time-delay systems, an explicit formula is established for calculating the number of characteristic roots lying in the closed right-half complex plane of the first sheet of the Riemann surface, and in turn a sufficient and necessary condition is obtained for testing the BIBO stability of fractional-delay systems. As shown in the illustrative examples, this stability criterion involves easy computation and works effectively.