Screen LibraryNonlinear noninteger order circuits and systems : an introduction /
In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities. The main definitions and results of research on noninteger order systems and modelling of physical noninteger phenomena are reported to...
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| Corporate Authors: | |
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| Group Author: | |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2000. |
| Literature type: | eBook |
| Language: | English |
| Series: |
World Scientific series on nonlinear science. Series A, Monographs and treatises ;
v. 38 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/4507#t=toc |
| Summary: |
In this book, the reader will find a theoretical introduction to noninteger order systems, as well as several applications showing their features and peculiarities. The main definitions and results of research on noninteger order systems and modelling of physical noninteger phenomena are reported together with problems of their approximation. Control applications, noninteger order CNNs and circuit realizations of noninteger order systems are also presented.The book is intended for students and researchers involved in the simulation and control of nonlinear noninteger order systems, with particular attention to those involved in the study of chaotic systems and the modelling of nonlinear spatiotemporal phenomena. |
| Carrier Form: | 1 online resource (vii,203pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 151-157) and index. |
| ISBN: | 9789812791856 |
| CLC: | N94 |
| Contents: | ch. 1. Non integer order circuits and systems. 1.1. Introduction: non integer order physical laws. 1.2. Non inductive transmission line. 1.3. 1/f noise spectra. 1.4. Polarization phenomena. 1.5. Diffusion phenomena. 1.6. Acoustic phenomena. 1.7. Frequency modulation and Bessel function of the first kind -- ch. 2. Main results on non integer order systems. 2.1. Non integer integration: historical notes. 2.2. Preliminaries and definitions. 2.3. Laplace transforms and system's representation. 2.4. General properties of fractional systems. 2.5. Impulse response of a general fractional system. 2.6. Numerical differintegration -- ch. 3. Approximation of non integer order systems via integer order systems. 3.1. Infinite order and non integer order. 3.2. Frequency domain approximation. 3.3. Inverse method: non integer order modeling. 3.4. An example of time domain approximation. 3.5. Genetic algorithms to approximate non integer order system -- ch. 4. Control problem: non integer order feedback controllers. 4.1. Control design: a brief review. 4.2. Non integer order correction. 4.3. The CRONE control. 4.4. Complex integration and evolution of the CRONE. 4.5. Non integer derivative control of the steady state in Chua's circuit. 4.6. [symbol] non integer order controller. 4.7. Non linear system control via [symbol] controller -- ch. 5. Non integer order cellular neural network systems. 5.1. Standard and non integer order CNNs. 5.2. Image processing applications. 5.3. Auto waves in non integer order CNNs -- ch. 6. Circuit design of non integer order chaotic systems. 6.1. Non integer order and chaos. 6.2. The Duffing system. 6.3. Non integer order CNNs and chaos. 6.4. The two-cell CNN circuit -- ch. 7. Conclusion. 7.1. The status of the non integer order system research. 7.2. What it needs to be done. 7.3. Scheme of the book. |