On the stability of linear systems with fractional-order elements

By Ahmed Gomaa Radwan, Ahmed M. Soliman, Ahmed S. Elwakil, A. Sedeek. 2009

349 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7469ea4bf8e52bd22ea82d964be2db0d4489df09

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Ahmed S. Elwakil
2. Brent J. Maundy
3. Todd J. Freeborn

In Modeling and Simulation

1. Ahmed S. Elwakil
2. Brent J. Maundy
3. Todd J. Freeborn

Citations in the corpus

• Approximated Fractional Order Chebyshev Lowpass Filters (2015, methodology): “(1) Convert the fractional transfer function to the Wplane using the transformations s = Wm and α = k/m [25].”
• Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders (2012, neutral): “From [8] it follows that the fractional system with the characteristic polynomial w(s) = s + ap−1s (p−1)α + .”
• Stability of Fractional-Order Systems with Rational Orders (2008, neutral): “If there is not root in the physical s-plane, the system will always be stable [53].”