Fractional linear systems and electrical circuits / Tadeusz Kaczorek, Krzysztof Rogowski.
This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continu...
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Full Text (via Springer) |
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| Main Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer,
[2014]
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| Series: | Studies in systems, decision and control ;
v. 13. |
| Subjects: |
MARC
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| 245 | 1 | 0 | |a Fractional linear systems and electrical circuits / |c Tadeusz Kaczorek, Krzysztof Rogowski. |
| 264 | 1 | |a Cham : |b Springer, |c [2014] | |
| 264 | 4 | |c ©2015. | |
| 300 | |a 1 online resource (xii, 254 pages) : |b illustrations. | ||
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| 490 | 1 | |a Studies in systems, decision and control, |x 2198-4182 ; |v volume 13. | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a Preface; Contents; List of Symbols; Fractional Differential Equations; 1.1 Definition of Euler Gamma Function and Its Properties; 1.2 Mittag-Leffler Function; 1.3 Definitions of Fractional Derivative-Integral; 1.4 Solutions of the Fractional State Equation of Continuous-Time Linear System; 1.5 Positivity of the Fractional Systems; 1.6 External Positivity of the Fractional Systems; 1.7 Positive Continuous-Time Linear Systems with Delays; 1.8 Positive Linear Systems Consisting of; Subsystems with Different Fractional Orders; 1.9 Descriptor Fractional Continuous-Time Linear Systems. | |
| 505 | 8 | |a 1.10 Definition ofOrder Difference; 1.11 State Equations of the Discrete-Time Fractional Linear Systems; 1.12 Solution of the State Equations of the Fractional Discrete-Time Linear System; 1.13 Positive Fractional Linear Systems; 1.14 Externally Positive Fractional Systems; 1.15 Fractional Different Orders Discrete-Time Linear Systems; 1.16 Positive Fractional Different Orders Discrete-Time Linear Systems; 1.17 Descriptor Fractional Discrete-Time Linear Systems; Positive Fractional Electrical Circuits; 2.1 Fractional Electrical Circuits; 2.2 Positive Fractional Electrical Circuits. | |
| 505 | 8 | |a 2.3 Analysis of the Fractional Electrical Circuits in Transient States2.4 Reciprocity Theorem for Fractional Circuits; 2.5 Equivalent Voltage Source Theorem and Equivalent Current Source Theorem; Descriptor Linear Electrical Circuits and Their Properties; 3.1 Descriptor Linear Electrical Circuits; 3.2 Descriptor Fractional Linear Electrical Circuits; 3.3 Polynomial Approach to Fractional Descriptor Electrical Circuits; 3.4 Positive Descriptor Fractional Electrical Circuits; Stability of Positive Standard Linear Electrical Circuits; 4.1 Stability of Positive Electrical Circuits. | |
| 505 | 8 | |a 4.2 Positive UnstableElectrical Circuits; 4.3 Positive Unstable; Electrical Circuit; 4.4 Positive Unstable; Type Electrical Circuits; Reachability, Observability and Reconstructability of Fractional Positive Electrical Circuits and Their Decoupling Zeros; 5.1 Decomposition of the Pairs (; and (; of Linear Circuits; 5.2 Reachability of Positive Electrical Circuits; 5.3 Observability of Positive Electrical Circuits; 5.4 Constructability of Positive Electrical Circuits; 5.5 Decomposition of the Positive Pair; 5.6 Decomposition of the Positive Pair. | |
| 505 | 8 | |a 5.7 Decoupling Zeros of the Positive Electrical Circuits5.8 Reachability of Positive Fractional Electrical Circuits; 5.9 Observability of Positive Fractional Electrical Circuits; Standard and Fractional Linear Circuits with Feedbacks; 6.1 Linear Dependence on Time of State Variable in Standard Electrical Circuits with State Feedbacks; 6.2 Zeroing of the State Vector of Standard Circuits by State-Feedbacks; 6.3 Zeroing of the State Vector of Standard Circuits by Output-Feedbacks; 6.4 Zeroing of the State Vector of Fractional Electrical Circuits by State-Feedbacks. | |
| 520 | |a This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigate. | ||
| 588 | 0 | |a Online resource; title from PDF title page (SpringerLink, viewed November 4, 2014) | |
| 650 | 0 | |a Linear integrated circuits. |0 http://id.loc.gov/authorities/subjects/sh85077176. | |
| 650 | 0 | |a Linear integrated circuits |x Design and construction. |0 http://id.loc.gov/authorities/subjects/sh2009129826. | |
| 650 | 7 | |a Linear integrated circuits. |2 fast |0 (OCoLC)fst00999073. | |
| 650 | 7 | |a Linear integrated circuits |x Design and construction. |2 fast |0 (OCoLC)fst00999078. | |
| 700 | 1 | |a Rogowski, Krzysztof, |e author. | |
| 776 | 0 | 8 | |i Print version: |a Kaczorek, Tadeusz. |t Fractional Linear Systems and Electrical Circuits. |d Cham : Springer International Publishing, ©2014 |z 9783319113609. |
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