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math.DS2022
A criterion for asymptotic stability of general fractional-order linear time-invariant systems with incommensurate orders
Jing Yang, Xiaorong Hou
A criterion on the asymptotic stability of fractional-order systems with incomensurate orders is proposed in this paper. Existing methods always assume order parameters be rational…
math.DS2022★ 2 cited
Routh-Hurwitz criterion of stability and robust stability for fractional-order systems with order α{\in}[1,2)
Jing Yang, Xiaorong Hou, Yajun Li
Based on the generalized Routh-Hurwitz criterion, we propose a sufficient and necessary criterion for testing the stability of fractional-order linear systems with order α{\in}[1,2…
math.DS2022
An explicit Hopf bifurcation criterion of fractional-order systems with order 1 < α < 2
Jing Yang, Xiaoxue Li, Xiaorong Hou
A Hopf bifurcation criterion of fractional-order systems with order 1 < α < 2 is established in this paper, in which all conditions are explicitly expressed by parameters without s…