| Vorliegende Sprache |
eng |
| Hinweise auf parallele Ausgaben |
414808428 Druckausg.: ‡Advances in the theory and applications of non-integer order systems |
| ISBN |
978-3-319-00932-2 |
| Name |
Mitkowski, Wojciech |
| Kacprzyk, Janusz |
| ANZEIGE DER KETTE |
Kacprzyk, Janusz |
| Name |
Baranowski, Jerzy |
| T I T E L |
Advances in the Theory and Applications of Non-integer Order Systems |
| Zusatz zum Titel |
5th Conference on Non-integer Order Calculus and Its Applications, Cracow, Poland |
| Verlagsort |
Heidelberg |
| Verlag |
Springer |
| Erscheinungsjahr |
2013 |
| 2013 |
| Umfang |
Online-Ressource (XVI, 325 p. 118 illus, digital) |
| Reihe |
Lecture Notes in Electrical Engineering ; 257 |
| Notiz / Fußnoten |
Description based upon print version of record |
| Weiterer Inhalt |
Preface; Contents; Part I Realization Problem; Realization Problem for Descriptor Positive Fractional Continuous-Time Linear Systems; 1 Introduction; 2 Positive Descriptor Fractional Systems and Decomposition of Transfer Matrices; 3 Positive Realizations of Transfer Matrices; 4 Positive Realizations of Strictly Proper Transfer Matrices; 5 Concluding Remarks; References; Positive Stable Minimal Realization of Fractional Discrete-Time Linear Systems; 1 Introduction; 2 Preliminaries and Problem Formulation; 3 Solution of Realization Problem; 3.1 General Transfer Matrix. 3.2 L-bounded Transfer Matrix4 Concluding Remarks; References; Part II Stability; Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders; 1 Introduction; 2 Problem Formulation; 3 The Main Results; 4 Illustrative Examples; 5 Concluding Remarks; References; Stability of Fractional Difference Systems with Two Orders; 1 Introduction; 2 Preliminaries; 3 Description of Difference Systems with Two Orders; 4 Lyapunov Stability; 5 Conclusions; References; Stability Conditions of Fractional Discrete-Time Scalar Systems with Two Delays. 1 Introduction2 Problem Formulation; 3 Solution of the Problem; 4 Concluding Remarks; References; Part III Controllability, Observability and Optimal Control; Constrained Controllability of h-Difference Linear Systems with Two Fractional Orders; 1 Introduction; 2 h-Fractional Difference; 3 Linear Control Systems with Two Orders; 4 Constrained Control; 5 Conclusions and Future Work; References; Observability of Positive Fractional-Order Discrete-Time Systems; 1 Introduction; 2 Linear Discrete-Time Fractional-Order Systems; 3 Observabilty of the Positive Systems; 4 Example; 5 Concluding Remarks. ReferencesOptimal Control Problem for Fractional Dynamic Systems - Linear Quadratic Discrete-Time Case; 1 Introduction; 2 Problem Formulation and General Solution; 3 Problem Solution in Case of Free Final State and Fixed Final Time; 4 Procedure and Example for Fixed Final State Case; 5 Conclusion; References; Part IV Distributed Parameter Systems; Stabilization of Wave Equation Using Standard/Fractional Derivative in Boundary Damping; 1 Introduction; 2 Stabilization by proportional controller; 3 Stabilization by fractional integrator; 3.1 Balanced Realization of Fractional Integrator. 3.2 Examination of the Closed-Loop System3.3 Eigenvalues of the Closed-Loop State Operator; 4 Discussion and Conclusions; References; Fundamental Solutions to the Central Symmetric Space-Time Fractional Heat Conduction Equation and Associated Thermal Stresses; 1 Introduction; 2 Mathematical Preliminaries; 3 Statement and Solution of the Problem; 3.1 The First Cauchy Problem; 3.2 The Second Cauchy Problem; 3.3 The Source Problem; 4 Concluding Remarks; References; Variable Order Fractional Isoperimetric Problem of Several Variables; 1 Introduction; 2 Preliminaries. 3 Variable Order Fractional Isoperimetric Problem of Several Variables |
| Titelhinweis |
Druckausg.: ‡Advances in the theory and applications of non-integer order systems |
| ISBN |
ISBN 978-3-319-00933-9 |
| Klassifikation |
TJFM |
| TEC004000 |
| *93-06 |
| 37-06 |
| 00B25 |
| 93B05 |
| 93B12 |
| 93C95 |
| 37N35 |
| 37N20 |
| 629.8 |
| TJ212-225 |
| Kurzbeschreibung |
This volume presents various aspects of non-integer order systems, also known as fractional systems, which have recently attracted an increasing attention in the scientific community of systems science, applied mathematics, control theory. Non-integer systems have become relevant for many fields of science and technology exemplified by the modeling of signal transmission, electric noise, dielectric polarization, heat transfer, electrochemical reactions, thermal processes, acoustics, etc. The content is divided into six parts, every of which considers one of the currently relevant problems. In the first part the Realization problem is discussed, with a special focus on positive systems. The second part considers stability of certain classes of non-integer order systems with and without delays. The third part is focused on such important aspects as controllability, observability and optimization especially in discrete time. The fourth part is focused on distributed systems where non-integer calculus leads to new and interesting results. The next part considers problems of solutions and approximations of non-integer order equations and systems. The final and most extensive part is devoted to applications. Problems from mechatronics, biomedical engineering, robotics and others are all analyzed and solved with tools from fractional systems. This volume came to fruition thanks to high level of talks and interesting discussions at RRNR 2013 - 5th Conference on Non-integer Order Calculus and its Applications that took place at AGH University of Science and Technology in Kraków, Poland, which was organized by the Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering |
| SWB-Titel-Idn |
386843422 |
| Signatur |
Springer E-Book |
| Bemerkungen |
Elektronischer Volltext - Campuslizenz |
| Elektronische Adresse |
$uhttp://dx.doi.org/10.1007/978-3-319-00933-9 |
| Internetseite / Link |
Volltext |
| Siehe auch |
Volltext |
| Siehe auch |
Cover |
| Siehe auch |
Inhaltstext |
