Discretized fractional calculus
SIAM Journal on Mathematical Analysis
Nonsmooth analysis and control theory
Nonsmooth analysis and control theory
On linear systems with a fractional derivation: introductory theory and examples
Mathematics and Computers in Simulation - Special issue: delay systems
Modelling and analysis of hybrid systems
Selected papers from the 2nd IMACS symposium on Mathematical modelling---2nd MATHMOD
Model-Based Fault Diagnosis in Dynamic Systems Using Identification Techniques
Model-Based Fault Diagnosis in Dynamic Systems Using Identification Techniques
Finite Time Stability and Robust Control Synthesis of Uncertain Switched Systems
SIAM Journal on Control and Optimization
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Time domain design of fractional differintegrators using least-squares
Signal Processing - Fractional calculus applications in signals and systems
Computational algorithms for computing the fractional derivatives of functions
Mathematics and Computers in Simulation
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
Sliding mode control: A survey with applications in math
Mathematics and Computers in Simulation
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This paper considers a discontinuous dynamical observers stack and presents its possible application in the framework of fault detection and isolation (FDI) problems. Non-standard forms for the discontinuous observer injection signals, based on second-order sliding-mode techniques with dynamical sliding manifolds, are employed in the present work. A unified treatment covering at the same time integer-order and fractional-order (FO) dynamics is developed. Appropriate non-smooth Lyapunov analysis is made to support the theoretical properties of the suggested FDI observers, which yields simple tuning formulas for the corresponding parameters. Numerical implementation aspects are discussed. Finally, simulation and experimental results are presented to support the theoretical treatment, which confirm the expected performance.