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7th RRNR 2015: Szczecin, Poland
- Stefan Domek, Pawel Dworak:
Theoretical Developments and Applications of Non-Integer Order Systems - 7th Conference on Non-Integer Order Calculus and Its Applications, RRNR 2015, Szczecin, Poland, August 28-29, 2015. Lecture Notes in Electrical Engineering 357, Springer 2016, ISBN 978-3-319-23038-2
Mathematical Fundamentals
- Malgorzata Klimek:
Fractional Sturm-Liouville Problem in Terms of Riesz Derivatives. 3-16 - Agnieszka B. Malinowska, Tatiana Odzijewicz:
Multidimensional Discrete-Time Fractional Calculus of Variations. 17-28 - Dominik Sierociuk, Wiktor Malesza, Michal Macias:
On a New Symmetric Fractional Variable Order Derivative. 29-39 - Piotr Ostalczyk:
Linearization of the Non-linear Time-Variant Fractional-Order Difference Equation. 41-55 - Ewa Girejko, Ewa Pawluszewicz, Malgorzata Wyrwas:
The Z-Transform Method for Sequential Fractional Difference Operators. 57-67
Modeling and Approximations
- Wojciech Mitkowski, Krzysztof Oprzedkiewicz:
An Estimation of Accuracy of Charef Approximation. 71-80 - Wieslaw Krajewski, Umberto Viaro:
A New Method for the Integer Order Approximation of Fractional Order Models. 81-92 - Jerzy Baranowski, Waldemar Bauer, Marta Zagórowska:
Stability Properties of Discrete Time-Domain Oustaloup Approximation. 93-103 - Konrad Andrzej Markowski, Krzysztof Hryniów:
Digraphs Minimal Positive Stable Realisations for Fractional One-Dimensional Systems. 105-118 - Marek Rydel, Rafal Stanislawski, Grzegorz Bialic, Krzysztof J. Latawiec:
Modeling of Discrete-Time Fractional-Order State Space Systems Using the Balanced Truncation Method. 119-127 - Dominik Sierociuk, Michal Macias, Pawel Ziubinski:
Experimental Results of Modeling Variable Order System Based on Discrete Fractional Variable Order State-Space Model. 129-139
Controllability, Observability and Stability
- Tadeusz Kaczorek:
Positivity and Stability of a Class of Fractional Descriptor Discrete-Time Nonlinear Systems. 143-155 - Malgorzata Wyrwas, Dorota Mozyrska:
Stability of Linear Discrete-Time Systems with Fractional Positive Orders. 157-166 - Yassine Boukal, Michel Zasadzinski, Mohamed Darouach, Nour-Eddine Radhy:
Robust $$H_{\infty }$$ Observer-Based Stabilization of Disturbed Uncertain Fractional-Order Systems Using a Two-Step Procedure. 167-180 - Zbigniew Zaczkiewicz:
Relative Observability for Fractional Differential-Algebraic Delay Systems Within Riemann-Liouville Fractional Derivatives. 181-194
Control and Applications
- Jerzy Klamka:
Minimum Energy Control of Linear Fractional Systems. 197-206 - Adam Makarewicz:
Use of Alpha-Beta Filter to Synchronization of the Chaotic Ikeda Systems of Fractional Order. 207-216 - Pawel Dworak:
On Dynamic Decoupling of MIMO Fractional Order Systems. 217-232 - Lukasz Wach, Wojciech P. Hunek:
Perfect Control for Fractional-Order Multivariable Discrete-Time Systems. 233-237 - Waldemar Bauer:
Implementation of Non-Integer Order Controller Using Oustaloup Parallel Approximation for Air Heating Process Trainer. 239-246 - Bogdan Broel-Plater, Pawel Dworak, Krzysztof Jaroszewski:
Classical Versus Fractional Order PI Current Controller in Servo Drive. 247-258 - Marta Zagórowska:
Parametric Optimization of Non-Integer Order PD ^\mu μ Controller for Delayed System. 259-270 - Jerzy Baranowski, Waldemar Bauer, Marta Zagórowska, Aleksandra Kawala-Janik, Tomasz Dziwinski, Pawel Piatek:
Adaptive Non-Integer Controller for Water Tank System. 271-280 - Stefan Domek:
Model-Plant Mismatch in Fractional Order Model Predictive Control. 281-291
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