Stability analysis of discrete-time fractional-order Caputo-type Lorenz system
Dorota Mozyrska , Małgorzata Wyrwas
AbstractIn this paper we study discrete-time fractional-order Lorenz systems. We use the Caputo-type h-difference operator with orders from the interval (0,1). Using conditions for asymptotic stability of linear systems with the Caputo fractional-order h-difference operators we made simulations with small steps h and checked wether there are unstable equilibrium points for the considered systems. We also investigate by numerical calculations in Maple that the generalised Lorenz systems have chaotic behaviour for step h = 0:01 and for order functions with values greater than 0.95645.
|Publication size in sheets||0.5|
|Book||Telecommunications and Signal Processing: 42nd International Conference: TSP, 2019, Institute of Electrical and Electronics Engineers, [978-172811864-2], DOI:10.1109/TSP.2019.8768861|
|Keywords in English||discrete-time system, fractional-order, Lorenz system, stability , Z-transform|
|Internal identifier||ROC 19-20|
|Score||= 0.0, 26-03-2020, ChapterFromConference|
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