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001 978-981-10-0637-1
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007 cr nn 008mamaa
008 160808s2017 si | s |||| 0|eng d
020 _a9789811006371
_9978-981-10-0637-1
024 7 _a10.1007/978-981-10-0637-1
_2doi
050 4 _aQ295
050 4 _aQA402.3-402.37
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aGPFC
_2thema
082 0 4 _a003
_223
100 1 _aWu, Ai-Guo.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_952867
245 1 0 _aComplex Conjugate Matrix Equations for Systems and Control
_h[electronic resource] /
_cby Ai-Guo Wu, Ying Zhang.
250 _a1st ed. 2017.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2017.
300 _aXVIII, 487 p. 13 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aCommunications and Control Engineering,
_x2197-7119
505 0 _aIntroduction -- Mathematical Prelimilaries -- Iterative Approaches -- Finite Iterative Approaches -- Real Representations Based Approaches.-Polynomial Matrices Based Approaches -- Standard Linear Equations Based Approaches -- Conjugate Products -- Con-Sylvester Sums Based Approaches.
520 _aThe book is the first book on complex matrix equations including the conjugate of unknown matrices. The study of these conjugate matrix equations is motivated by the investigations on stabilization and model reference tracking control for discrete-time antilinear systems, which are a particular kind of complex system with structure constraints. It proposes useful approaches to obtain iterative solutions or explicit solutions for several types of complex conjugate matrix equation. It observes that there are some significant differences between the real/complex matrix equations and the complex conjugate matrix equations. For example, the solvability of a real Sylvester matrix equation can be characterized by matrix similarity; however, the solvability of the con-Sylvester matrix equation in complex conjugate form is related to the concept of con-similarity.  In addition, the new concept of conjugate product for complex polynomial matrices is also proposed in order to establish a unified approach for solving a type of complex matrix equation.
650 0 _aSystem theory.
_93409
650 0 _aControl theory.
_93950
650 0 _aEngineering mathematics.
_93254
650 0 _aEngineering—Data processing.
_931556
650 0 _aAlgebras, Linear.
_94004
650 0 _aControl engineering.
_931970
650 1 4 _aSystems Theory, Control .
_931597
650 2 4 _aMathematical and Computational Engineering Applications.
_931559
650 2 4 _aLinear Algebra.
_92159
650 2 4 _aControl and Systems Theory.
_931972
700 1 _aZhang, Ying.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_952868
710 2 _aSpringerLink (Online service)
_952869
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811006357
776 0 8 _iPrinted edition:
_z9789811006364
776 0 8 _iPrinted edition:
_z9789811092169
830 0 _aCommunications and Control Engineering,
_x2197-7119
_952870
856 4 0 _uhttps://doi.org/10.1007/978-981-10-0637-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79037
_d79037