Mitkowski, Wojciech

Advances in the Theory and Applications of Non-integer Order Systems

Mitkowski, Wojciech - Advances in the Theory and Applications of Non-integer Order Systems, ebook


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Table of contents

Part I. Realization Problem

1. Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems
Tadeusz Kaczorek

2. Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems
Łukasz Sajewski

Part II. Stability

3. Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders
Mikołaj Busłowicz

4. Stability of Fractional Difference Systems with Two Orders
Małgorzata Wyrwas, Ewa Girejko, Dorota Mozyrska, Ewa Pawłuszewicz

5. Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays
Andrzej Ruszewski

Part III. Controllability, Observability and Optimal Control

6. Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders
Ewa Pawłuszewicz, Dorota Mozyrska

7. Observability of Positive Fractional-Order Discrete-Time Systems
Wojciech Trzasko

8. Optimal Control Problem for Fractional Dynamic Systems – Linear Quadratic Discrete-Time Case
Andrzej Dzieliński, Przemysław M. Czyronis

Part IV. Distributed Parameter Systems

9. Stabilization of Wave Equation Using Standard/Fractional Derivative in Boundary Damping
Piotr Grabowski

10. Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses
Yuriy Povstenko

11. Variable Order Fractional Isoperimetric Problem of Several Variables
Tatiana Odziehjewicz

12. Mittag-Leffler Pattern in Anomalous Diffusion
Bartłomiej Dybiec

Part V. Solutions and Approximations

13. Piecewise Affine Representation of Discrete in Time, Non-integer Order Systems
Stefan Domek

14. Exact Solution of Two-Term Nonlinear Fractional Differential Equation with Sequential Riemann-Liouville Derivatives
Marek Błasik, Małgorzata Klimek

15. Laguerre Polynomial Approximation of Fractional Order Linear Systems
Piotr Bania, Jerzy Baranowski

16. Solutions of Systems with Two-Terms Fractional Difference Operators
Ewa Girejko, Dorota Mozyrska, Małgorzata Wyrwas

17. Comparison of h-Difference Fractional Operators
Dorota Mozyrska, Ewa Girejko, Małgorzata Wyrwas

Part VI. Applications

18. Reflection Symmetry in Fractional Calculus – Properties and Applications
Małgorzata Klimek, Maria Lupa

19. A General Fractional-Order Thermal Model for Buildings and Its Properties
Pawel Skruch

20. Heat Transfer Modeling in Ceramic Materials Using Fractional Order Equations
Anna Obrączka, Jakub Kowalski

21. A Comparative Study of PI



Controller Approximations Exemplified by Active Magnetic Levitation System
Adam Piłat

22. The Application of Fractional Order Differential Calculus for the Description of Temperature Profiles in a Granular Layer
Ewa Szymanek

23. Fractional-Order P2D
Controller for Uncertain Parameter DC Motor
Wojciech Mitkowski, Krzysztof Oprzędkiewicz

24. Synchronization of the Chaotic Ikeda Systems of Fractional Order
Mikołaj Busłowicz, Adam Makarewicz

25. Analog Modeling of Fractional Switched-Order Derivatives: Experimental Approach
Dominik Sierociuk, Michal Macias, Wiktor Malesza

26. Fractional-Order Models of the Ultracapacitors
Pawel Skruch, Wojciech Mitkowski

27. Non-integer Order PI



Control ICU-MM
Waldemar Bauer, Jerzy Baranowski, Wojciech Mitowski

28. Comparison of Fractional- and Integer-Order Filters in Filtration of Myoelectric Activity Acquired from Biceps Brachii
Tomasz Moszkowski, Elzbieta Pociask

29. Variable-, Fractional-Order Dead-Beat Control of a Robot Arm
Piotr Duch, Maciej Łaski, Sylwester Błaszczyk, Piotr Ostalczyk

Keywords: Engineering, Control, Complexity, Signal, Image and Speech Processing

Publication year
Lecture Notes in Electrical Engineering
Page amount
13 pages
Technology, Energy, Traffic

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