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000723934 019__ $$a908087715
000723934 020__ $$a9783319113616$$qelectronic book
000723934 020__ $$a3319113615$$qelectronic book
000723934 020__ $$z9783319113609
000723934 0247_ $$a10.1007/978-3-319-11361-6$$2doi
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000723934 08204 $$a621.3815$$223
000723934 1001_ $$aKaczorek, T.$$q(Tadeusz),$$d1932-$$eauthor.
000723934 24510 $$aFractional linear systems and electrical circuits$$h[electronic resource] /$$cTadeusz Kaczorek, Krzysztof Rogowski.
000723934 264_1 $$aCham :$$bSpringer,$$c[2014]
000723934 264_4 $$c©2015
000723934 300__ $$a1 online resource (xii, 254 pages) :$$billustrations.
000723934 336__ $$atext$$btxt$$2rdacontent
000723934 337__ $$acomputer$$bc$$2rdamedia
000723934 338__ $$aonline resource$$bcr$$2rdacarrier
000723934 4901_ $$aStudies in Systems, Decision and Control,$$x2198-4182 ;$$vvolume 13
000723934 504__ $$aIncludes bibliographical references and index.
000723934 5050_ $$aPreface; Contents; List of Symbols; Fractional Differential Equations; 1.1 Definition of Euler Gamma Function and Its Properties; 1.2 Mittag-Leffler Function; 1.3 Definitions of Fractional Derivative-Integral; 1.4 Solutions of the Fractional State Equation of Continuous-Time Linear System; 1.5 Positivity of the Fractional Systems; 1.6 External Positivity of the Fractional Systems; 1.7 Positive Continuous-Time Linear Systems with Delays; 1.8 Positive Linear Systems Consisting of; Subsystems with Different Fractional Orders; 1.9 Descriptor Fractional Continuous-Time Linear Systems
000723934 5058_ $$a1.10 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
000723934 5058_ $$a2.3 Analysis of the Fractional Electrical Circuits in Transient States2.4 Reciprocity Theorem for Fractional Circuits; 2.5 Equivalent Voltage Source Theorem and Equivalent Current Source Theorem; Descriptor Linear Electrical Circuits and Their Properties; 3.1 Descriptor Linear Electrical Circuits; 3.2 Descriptor Fractional Linear Electrical Circuits; 3.3 Polynomial Approach to Fractional Descriptor Electrical Circuits; 3.4 Positive Descriptor Fractional Electrical Circuits; Stability of Positive Standard Linear Electrical Circuits; 4.1 Stability of Positive Electrical Circuits
000723934 5058_ $$a4.2 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
000723934 5058_ $$a5.7 Decoupling Zeros of the Positive Electrical Circuits5.8 Reachability of Positive Fractional Electrical Circuits; 5.9 Observability of Positive Fractional Electrical Circuits; Standard and Fractional Linear Circuits with Feedbacks; 6.1 Linear Dependence on Time of State Variable in Standard Electrical Circuits with State Feedbacks; 6.2 Zeroing of the State Vector of Standard Circuits by State-Feedbacks; 6.3 Zeroing of the State Vector of Standard Circuits by Output-Feedbacks; 6.4 Zeroing of the State Vector of Fractional Electrical Circuits by State-Feedbacks
000723934 506__ $$aAccess limited to authorized users.
000723934 520__ $$aThis monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigate.
000723934 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 4, 2014).
000723934 650_0 $$aLinear integrated circuits.
000723934 650_0 $$aLinear integrated circuits$$xDesign and construction.
000723934 7001_ $$aRogowski, Krzysztof,$$eauthor.
000723934 77608 $$iPrint version:$$aKaczorek, Tadeusz$$tFractional Linear Systems and Electrical Circuits$$dCham : Springer International Publishing,c2014$$z9783319113609
000723934 830_0 $$aStudies in systems. decision and control ;$$vvolume 13.
000723934 852__ $$bebk
000723934 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-11361-6$$zOnline Access$$91397441.1
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