National Instruments 370755B-01 manual

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A good user manual

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Table of contents for the manual

  • Page 1

    MA TRIXx TM Xmath TM Model Reduction Module Xmath Mo del Reducti on Modul e April 2004 Edit ion [...]

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    Supp ort Worl dwide Tec hnical Supp ort and Pro duct Infor mation ni.com Nati onal In strum ents Cor[...]

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    Important Information Warrant y The media on whi ch you receive National Instruments softw are are[...]

  • Page 4

    Conventions The follo wing con ventions are used in this manual: [ ] Square brackets enclose opti[...]

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    © Nationa l Instrume nts Corpora tion v Xmath Mod el Redu ction Modu le Contents Chapter 1 Intro[...]

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    Contents Xmath Model R eduction M odule vi ni.com Onepass Algorithm ................... ........[...]

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    Contents © Nationa l Instrume nts Corpora tion vii Xmath Mod el Redu ction Modu le Algorithm ...[...]

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    © Nationa l Instrume nts Corpora tion 1-1 Xmath Mod el Redu ction Modu le 1 Introduction This ch[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-2 ni.com • Chapter 5, Utilit ies , d[...]

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    Chap ter 1 Int rodu cti on © Nationa l Instrume nts Corpora tion 1-3 Xmath Mod el Redu ction Mod[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-4 ni.com As sho wn in Figure 1-1, fu nct[...]

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    Chap ter 1 Int rodu cti on © Nationa l Instrume nts Corpora tion 1-5 Xmath Mod el Redu ction Mod[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-6 ni.com • L 2 approximation, in whic[...]

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    Chap ter 1 Int rodu cti on © Nationa l Instrume nts Corpora tion 1-7 Xmath Mod el Redu ction Mod[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-8 ni.com • The controllabilit y gramm[...]

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    Chap ter 1 Int rodu cti on © Nationa l Instrume nts Corpora tion 1-9 Xmath Mod el Redu ction Mod[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-10 ni.com Interna lly Ba lanced Re aliza[...]

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    Chap ter 1 Int rodu cti on © Natio nal Instrum ents Cor poration 1-11 Xma th Model Re ductio n M[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-12 ni.com and also: Re λ i ( A 22[...]

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    Chap ter 1 Int rodu cti on © Natio nal Instrum ents Cor poration 1-13 Xma th Model Re ductio n M[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-14 ni.com nonnegati ve h ermitian for al[...]

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    Chap ter 1 Int rodu cti on © Natio nal Instrum ents Cor poration 1-15 Xma th Model Re ductio n M[...]

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    Chapter 1 Introduction Xmath Model R eduction M odule 1-16 ni.com multiplicati ve red uction, as[...]

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    © Nationa l Instrume nts Corpora tion 2-1 Xmath Mod el Redu ction Modu le 2 Additive Error Reduc[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-2 ni.com T runcation of Bal[...]

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    Chapte r 2 Additive Erro r Reduc tion © Nationa l Instrume nts Corpora tion 2-3 Xmath Mod el Red[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-4 ni.com proper . So, ev en[...]

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    Chapte r 2 Additive Erro r Reduc tion © Nationa l Instrume nts Corpora tion 2-5 Xmath Mod el Red[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-6 ni.com with controllabili[...]

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    Chapte r 2 Additive Erro r Reduc tion © Nationa l Instrume nts Corpora tion 2-7 Xmath Mod el Red[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-8 ni.com Further , the wh[...]

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    Chapte r 2 Additive Erro r Reduc tion © Nationa l Instrume nts Corpora tion 2-9 Xmath Mod el Red[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-10 ni.com The actual ap pro[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-11 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-12 ni.com redschur( ) [SysR[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-13 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-14 ni.com For the d iscrete[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-15 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-16 ni.com By ab use of nota[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-17 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-18 ni.com being appro ximat[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-19 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-20 ni.com to choose the D m[...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-21 Xma th Model Re[...]

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    Chapter 2 Additive Error Red uction Xmath Model R eduction M odule 2-22 ni.com We u s e sysZ [...]

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    Chapte r 2 Additive Erro r Reduc tion © Natio nal Instrum ents Cor poration 2-23 Xma th Model Re[...]

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    © Nationa l Instrume nts Corpora tion 3-1 Xmath Mod el Redu ction Modu le 3 Multiplicative Error[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-2 ni.com Multipl icati[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Nationa l Instrume nts Corpora tion 3-3 Xmath Mod [...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-4 ni.com The objecti v[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Nationa l Instrume nts Corpora tion 3-5 Xmath Mod [...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-6 ni.com 2. W ith G ([...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Nationa l Instrume nts Corpora tion 3-7 Xmath Mod [...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-8 ni.com state-v ariab[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Nationa l Instrume nts Corpora tion 3-9 Xmath Mod [...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-10 ni.com which also [...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-11 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-12 ni.com An y zero (o[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-13 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-14 ni.com There is one[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-15 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-16 ni.com eigen v al u[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-17 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-18 ni.com Note The e x[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-19 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-20 ni.com Error Bounds[...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-21 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-22 ni.com The v alues [...]

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    Chapte r 3 Mult iplicative Erro r Reduction © Natio nal Instrum ents Cor poration 3-23 Xma th Mo[...]

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    Chapter 3 Multiplicative Error Reduction Xmath Model R eduction M odule 3-24 ni.com Multiplicati[...]

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    © Nationa l Instrume nts Corpora tion 4-1 Xmath Mod el Redu ction Modu le 4 Frequency-W eighted [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-2 ni.com (so tha[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Nationa l Instrume nts Corpora tion 4-3 Xmath[...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-4 ni.com Most of[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Nationa l Instrume nts Corpora tion 4-5 Xmath[...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-6 ni.com • Fo[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Nationa l Instrume nts Corpora tion 4-7 Xmath[...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-8 ni.com The lef[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Nationa l Instrume nts Corpora tion 4-9 Xmath[...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-10 ni.com (Here,[...]

  • Page 81

    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-11 Xma [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-12 ni.com This r[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-13 Xma [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-14 ni.com and th[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-15 Xma [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-16 ni.com 3. On[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-17 Xma [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-18 ni.com Contro[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-19 Xma [...]

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    Chapter 4 Frequenc y-Weighted Error R eduction Xmath Model R eduction M odule 4-20 ni.com Additi[...]

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    Chapte r 4 Frequency -Weighted Erro r Reduc tion © Natio nal Instrum ents Cor poration 4-21 Xma [...]

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    © Nationa l Instrume nts Corpora tion 5-1 Xmath Mod el Redu ction Modu le 5 Utilities This chapt[...]

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    Chapte r 5 Utiliti es Xmath Model R eduction M odule 5-2 ni.com The grami an matrices are defi [...]

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    Chapte r 5 Utili ties © Nationa l Instrume nts Corpora tion 5-3 Xmath Mod el Redu ction Modu le [...]

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    Chapte r 5 Utiliti es Xmath Model R eduction M odule 5-4 ni.com After this last transform ation,[...]

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    © Nationa l Instrume nts Corpora tion 6-1 Xmath Mod el Redu ction Modu le 6 T utorial This chapt[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-2 ni.com A minimal realization in modal c[...]

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    Chap ter 6 T utoria l © Nationa l Instrume nts Corpora tion 6-3 Xmath Mod el Redu ction Modu le[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-4 ni.com recovery at low f requencies; the[...]

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    Chap ter 6 T utoria l © Nationa l Instrume nts Corpora tion 6-5 Xmath Mod el Redu ction Modu le[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-6 ni.com Figures 6-3, 6-4, and 6-5 displ [...]

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    Chap ter 6 T utoria l © Nationa l Instrume nts Corpora tion 6-7 Xmath Mod el Redu ction Modu le[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-8 ni.com Gen erate Figu re 6- 5: tvec=0:([...]

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    Chap ter 6 T utoria l © Nationa l Instrume nts Corpora tion 6-9 Xmath Mod el Redu ction Modu le[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-10 ni.com Gen erate Figu re 6- 7: syscl =[...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-11 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-12 ni.com wtbalan ce The next comman d exa[...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-13 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-14 ni.com Gen erate Figu re 6- 10: syscl [...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-15 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-16 ni.com Gen erate Figu re 6- 12: vtf=po[...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-17 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-18 ni.com Gen erate Figu re 6- 14: syscl [...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-19 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-20 ni.com fracred fracred , the next comma[...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-21 Xma th Model Re ductio n Modul[...]

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    Chapter 6 T utoria l Xmath Model R eduction M odule 6-22 ni.com Gen erate Figu re 6- 18: tvec=0[...]

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    Chap ter 6 T utoria l © Natio nal Instrum ents Cor poration 6-23 Xma th Model Re ductio n Modul[...]

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    © Nationa l Instrume nts Corpora tion A-1 Xmath Mod el Redu ction Modu le A Bibliography [AnJ] [...]

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    Appendix A Bibliogr aphy Xmath Model R eduction M odule A-2 ni.com [GrA90] M. Green an d BDO An[...]

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    Appendix A Bibliography © Nationa l Instrume nts Corpora tion A-3 Xmath Mod el Redu ction Modu [...]

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    Appendix A Bibliogr aphy Xmath Model R eduction M odule A-4 ni.com [Do y82] J. C. Doyle. “ A[...]

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    Appendix A Bibliography © Nationa l Instrume nts Corpora tion A-5 Xmath Mod el Redu ction Modu [...]

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    © Nationa l Instrume nts Corpora tion B-1 Xmath Mod el Redu ction Modu le B T echnical Support a[...]

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    © Nationa l Instrume nts Corpora tion I-1 Xmath Mod el Redu ction Modu le Index Symbols *, 1-6 ?[...]

  • Page 126

    Index Xmath Model R eduction M odule I-2 ni.com G grammians controllability, 1- 7 desc ripti on o[...]

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    Index © Nationa l Instrume nts Corpora tion I-3 Xmath Mod el Redu ction Modu le stable, 1 -5, 5-[...]