Analysis and design of fractional-order digital control systems
Systems Analysis Modelling Simulation
Robust stability check of fractional order linear time invariant systems with interval uncertainties
Signal Processing - Fractional calculus applications in signals and systems
Automatica (Journal of IFAC)
A note on the stability of fractional order systems
Mathematics and Computers in Simulation
Technical communique: Mittag-Leffler stability of fractional order nonlinear dynamic systems
Automatica (Journal of IFAC)
Automatica (Journal of IFAC)
Brief paper: On robust stability of LTI fractional-order delay systems of retarded and neutral type
Automatica (Journal of IFAC)
LMI stability conditions for fractional order systems
Computers & Mathematics with Applications
Brief State-space representation for fractional order controllers
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)
Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
Mathematical and Computer Modelling: An International Journal
Existence of a periodic mild solution for a nonlinear fractional differential equation
Computers & Mathematics with Applications
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This paper considers the robust asymptotical stability problem of fractional-order linear systems with structured perturbations, which are more general than the investigated fractional-order interval systems. Based on the Kronecker product and @m-analysis, necessary and sufficient conditions for the robust asymptotical stability are established by transforming such a problem into checking the nonsingularity of a class of uncertain matrices. Furthermore, the robustness bounds with respect to parametric perturbations to preserve the asymptotical stability are given in terms of the structured singular values. Finally, illustrative examples are given to show the effectiveness of the proposed approach.