000 03329nam a22004935i 4500
001 978-1-4471-2852-6
003 DE-He213
005 20140220083236.0
007 cr nn 008mamaa
008 120224s2012 xxk| s |||| 0|eng d
020 _a9781447128526
_9978-1-4471-2852-6
024 7 _a10.1007/978-1-4471-2852-6
_2doi
050 4 _aTJ212-225
072 7 _aTJFM
_2bicssc
072 7 _aTEC004000
_2bisacsh
082 0 4 _a629.8
_223
100 1 _aJiao, Zhuang.
_eauthor.
245 1 0 _aDistributed-Order Dynamic Systems
_h[electronic resource] :
_bStability, Simulation, Applications and Perspectives /
_cby Zhuang Jiao, YangQuan Chen, Igor Podlubny.
264 1 _aLondon :
_bSpringer London :
_bImprint: Springer,
_c2012.
300 _aXIII, 90 p. 47 illus., 37 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
505 0 _aIntroduction -- Distributed-order Linear Time-invariant System (DOLTIS) and Its Stability Analysis -- Noncommensurate Constant Orders as Special Cases of Doltis -- Distributed-order Filtering and Distributed-order Optimal Damping -- Numerical Solution of Differential Equations of Distributed Order -- Future Topics -- Appendix: MATLAB® Codes.
520 _aDistributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.
650 0 _aEngineering.
650 0 _aSystems theory.
650 1 4 _aEngineering.
650 2 4 _aControl.
650 2 4 _aSystems Theory, Control.
650 2 4 _aSignal, Image and Speech Processing.
650 2 4 _aEnergy, general.
700 1 _aChen, YangQuan.
_eauthor.
700 1 _aPodlubny, Igor.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781447128519
830 0 _aSpringerBriefs in Electrical and Computer Engineering,
_x2191-8112
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4471-2852-6
912 _aZDB-2-ENG
999 _c100717
_d100717