02944nmm a2200349 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002200139245012000161250001700281260005600298300004200354505054400396653003100940653003100971653003101002653002401033653002401057653003601081700003401117041001901151989003601170490004501206028003001251856007201281082001301353082000801366520122001374EB000899166EBX0100000000000000069628600000000000000.0cr|||||||||||||||||||||141103 ||| eng a97833191136161 aKaczorek, Tadeusz00aFractional Linear Systems and Electrical CircuitshElektronische Ressourcecby Tadeusz Kaczorek, Krzysztof Rogowski a1st ed. 2015 aChambSpringer International Publishingc2015, 2015 aXII, 254 p. 47 illusbonline resource0 aFractional differential equations -- Positive fractional electrical circuits -- Descriptor linear electrical circuits and their properties -- Stability of positive standard linear electrical circuits -- Reachability, observability and reconstructability -- Standard and fractional linear circuits with feedbacks -- Minimum energy control of electrical circuits -- Fractional 2D systems described by the Roesser model -- Laplace transforms and Z-transforms -- Elementary operations on matrices -- Nilpotent matrices -- Drazin inverse matrix aComputational intelligence aControl and Systems Theory aComputational Intelligence aElectronic circuits aControl engineering aElectronic Circuits and Systems1 aRogowski, Krzysztofe[author]07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aStudies in Systems, Decision and Control50a10.1007/978-3-319-11361-640uhttps://doi.org/10.1007/978-3-319-11361-6?nosfx=yxVerlag3Volltext0 a629.83120 a003 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 investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.