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A brief synthesis of the principal ideas and basic concepts in the fractional control area are presented in this talk. Next, some recent results on stability and convergence of fractional order systems in the context of the Error Models will be presented and discussed. Finally, some applications in the engineering field will be presented such as non adaptive and adaptive fractional control as well...
This paper presents the analysis of Error Model 1 when 0 <; α <; 1, in the context of Fractional Adaptive Systems. Simulation studies are presented, which show the main characteristics of this error model, from stability and error convergence point of view, as well as the main characteristics of the errors transient response. The stability of the Error Model is proved using the Lyapunov direct...
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