Fractional system identification for lead acid battery state of charge estimation
Signal Processing - Fractional calculus applications in signals and systems
Brief paper: Synthesis of fractional Laguerre basis for system approximation
Automatica (Journal of IFAC)
Fractional differential equations in electrochemistry
Advances in Engineering Software
Fractional calculus models of complex dynamics in biological tissues
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Brief paper: Stability and resonance conditions of elementary fractional transfer functions
Automatica (Journal of IFAC)
Brief paper: Stability and resonance conditions of elementary fractional transfer functions
Automatica (Journal of IFAC)
Parameter and differentiation order estimation in fractional models
Automatica (Journal of IFAC)
A note on ℒp-norms of fractional systems
Automatica (Journal of IFAC)
Computers & Mathematics with Applications
| Hi-index | 22.15 |
@?"2-norm, or impulse response energy, of any fractional commensurate transfer function is computed analytically. A general expression depending on transfer function coefficients and differentiation orders is established. Then, more concise expressions are given for elementary fractional transfer functions. Unlike stable rational transfer functions, it is proven that the @?"2-norm of stable fractional transfer functions may be infinite. Finiteness conditions are established in terms of transfer function relative degree. Moreover, it is proven that the @?"2-norm of a fractional transfer function with a proper integrator of order less than 0.5 may be finite. The obtained results are used to evaluate the integral squared error of closed-loop control systems.