Discrete Fractional Calculus: Applications In Control And Image Processing

Discrete-Variable Real Functions; The n-th Order Backward Difference/Sum of the Discrete-Variable Function; Fractional-Order Backward Differ-Sum; The FOBD-S Graphical Interpretation; The FOBD/S Selected Properties; The FO Dynamic System Description; Linear FO System Analysis; The Linear FO Discrete-Time Fundamental Elements; FO Discrete-Time System Structures; Fractional Discrete-Time PID Controller; FOS Approximation Problems; Fractional Potential; FO Image Filtering and Edge Detection; Appendix A: Selected Linear Algebra Formulae and Discrete-Variable Special Functions;

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• Engenharia do controlo automático
• Análise real, variáveis ??reais
• Matemática aplicada
• Processamento de imagens

Fractional Calculus, Fractional-Order Backward-Difference, Fractional-Order Linear Difference Equation, Discrete-System, State-Space Equations