Application of Circle Criterion for Stability Analysis of Nonlinear Fractional Order System
Marta Zagórowska* and Wojciech Mitkowski
The purpose of this work is to examine the possibilities of using circle criterion for stability analysis of nonlinear system of fractional order. Analytical and numerical approach is prepared for some Lure’s systems. First we consider a nonlinear system $D^\alpha x(t) = f(t,x(t))$. Then it is linearized and we apply the circle criterion to check the stability of the system.
Mathematics Subject Classification: 34D20
Keywords: fractional differential equations; stability; circle criterion; Lure's system
Minisymposion: Fractional Order Calculus: Applications in Modeling and Control