000 03453nam a22005055i 4500
001 978-3-319-11361-6
003 DE-He213
005 20200420220224.0
007 cr nn 008mamaa
008 141013s2015 gw | s |||| 0|eng d
020 _a9783319113616
_9978-3-319-11361-6
024 7 _a10.1007/978-3-319-11361-6
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aKaczorek, Tadeusz.
_eauthor.
245 1 0 _aFractional Linear Systems and Electrical Circuits
_h[electronic resource] /
_cby Tadeusz Kaczorek, Krzysztof Rogowski.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXII, 254 p. 47 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aStudies in Systems, Decision and Control,
_x2198-4182 ;
_v13
505 0 _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.
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 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.  .
650 0 _aEngineering.
650 0 _aComputational intelligence.
650 0 _aControl engineering.
650 0 _aElectronic circuits.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aComputational Intelligence.
650 2 4 _aCircuits and Systems.
700 1 _aRogowski, Krzysztof.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319113609
830 0 _aStudies in Systems, Decision and Control,
_x2198-4182 ;
_v13
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-11361-6
912 _aZDB-2-ENG
942 _cEBK
999 _c52092
_d52092