access icon free Stability of neutral type fractional delay systems and its relation with stability of time-delay and discrete systems

The bounded-input bounded-output stability of fractional delay systems of neutral type is investigated in this study. The proposed method calculates the number of unstable poles of the system for each delay value. All time-delay intervals in time-delay space where system is stable are precisely determined. The stability of systems with not only indefinitely large values of time-delay, but also with multiple poles on the imaginary axis has been studied. The proposed method is employed for investigating the stability of a fractional delay system when its fractional orders approach to the integer numbers or zero. It is proved that simple case of neutral types and time-delay systems have the same conditions for the independent stability. Two numerical examples are provided to illustrate the proficiencies of the proposed method.

Inspec keywords: delays; stability; poles and zeros; discrete systems

Other keywords: time-delay space; independent stability; bounded-input bounded-output stability; neutral type fractional delay systems; discrete systems; time-delay intervals; integer numbers

Subjects: Control system analysis and synthesis methods; Discrete control systems; Stability in control theory; Distributed parameter control systems

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