Recursive QR-factorisation for N4SID - What does this equation mean?












0












$begingroup$


I was reading a paper about recursive subspace identification, where they are using N4SID-algorithm with some extantion for the recursive method.



http://www.iaescore.com/journals/index.php/IJEECS/article/viewFile/6557/6368



I reason why I'm asking this question, is because I don't know how to compute the right hand side of equation (9) when the rigth hand side looks like this. I can't even write this out in LaTeX becase I don't know if
$$begin{bmatrix}
u_f(psi +1) \
w_p(psi +1)\
y_f(psi +1)
end{bmatrix}$$



What does $psi$ come frome?



is a vector or not, because I cannot see any brackets in the formula. What do you think?










share|cite|improve this question











$endgroup$

















    0












    $begingroup$


    I was reading a paper about recursive subspace identification, where they are using N4SID-algorithm with some extantion for the recursive method.



    http://www.iaescore.com/journals/index.php/IJEECS/article/viewFile/6557/6368



    I reason why I'm asking this question, is because I don't know how to compute the right hand side of equation (9) when the rigth hand side looks like this. I can't even write this out in LaTeX becase I don't know if
    $$begin{bmatrix}
    u_f(psi +1) \
    w_p(psi +1)\
    y_f(psi +1)
    end{bmatrix}$$



    What does $psi$ come frome?



    is a vector or not, because I cannot see any brackets in the formula. What do you think?










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      I was reading a paper about recursive subspace identification, where they are using N4SID-algorithm with some extantion for the recursive method.



      http://www.iaescore.com/journals/index.php/IJEECS/article/viewFile/6557/6368



      I reason why I'm asking this question, is because I don't know how to compute the right hand side of equation (9) when the rigth hand side looks like this. I can't even write this out in LaTeX becase I don't know if
      $$begin{bmatrix}
      u_f(psi +1) \
      w_p(psi +1)\
      y_f(psi +1)
      end{bmatrix}$$



      What does $psi$ come frome?



      is a vector or not, because I cannot see any brackets in the formula. What do you think?










      share|cite|improve this question











      $endgroup$




      I was reading a paper about recursive subspace identification, where they are using N4SID-algorithm with some extantion for the recursive method.



      http://www.iaescore.com/journals/index.php/IJEECS/article/viewFile/6557/6368



      I reason why I'm asking this question, is because I don't know how to compute the right hand side of equation (9) when the rigth hand side looks like this. I can't even write this out in LaTeX becase I don't know if
      $$begin{bmatrix}
      u_f(psi +1) \
      w_p(psi +1)\
      y_f(psi +1)
      end{bmatrix}$$



      What does $psi$ come frome?



      is a vector or not, because I cannot see any brackets in the formula. What do you think?







      matrix-decomposition lu-decomposition system-identification






      share|cite|improve this question















      share|cite|improve this question













      share|cite|improve this question




      share|cite|improve this question








      edited Jan 7 at 15:38







      Daniel Mårtensson

















      asked Jan 7 at 15:24









      Daniel MårtenssonDaniel Mårtensson

      916416




      916416






















          0






          active

          oldest

          votes











          Your Answer





          StackExchange.ifUsing("editor", function () {
          return StackExchange.using("mathjaxEditing", function () {
          StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
          StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
          });
          });
          }, "mathjax-editing");

          StackExchange.ready(function() {
          var channelOptions = {
          tags: "".split(" "),
          id: "69"
          };
          initTagRenderer("".split(" "), "".split(" "), channelOptions);

          StackExchange.using("externalEditor", function() {
          // Have to fire editor after snippets, if snippets enabled
          if (StackExchange.settings.snippets.snippetsEnabled) {
          StackExchange.using("snippets", function() {
          createEditor();
          });
          }
          else {
          createEditor();
          }
          });

          function createEditor() {
          StackExchange.prepareEditor({
          heartbeatType: 'answer',
          autoActivateHeartbeat: false,
          convertImagesToLinks: true,
          noModals: true,
          showLowRepImageUploadWarning: true,
          reputationToPostImages: 10,
          bindNavPrevention: true,
          postfix: "",
          imageUploader: {
          brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
          contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
          allowUrls: true
          },
          noCode: true, onDemand: true,
          discardSelector: ".discard-answer"
          ,immediatelyShowMarkdownHelp:true
          });


          }
          });














          draft saved

          draft discarded


















          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3065116%2frecursive-qr-factorisation-for-n4sid-what-does-this-equation-mean%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown

























          0






          active

          oldest

          votes








          0






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes
















          draft saved

          draft discarded




















































          Thanks for contributing an answer to Mathematics Stack Exchange!


          • Please be sure to answer the question. Provide details and share your research!

          But avoid



          • Asking for help, clarification, or responding to other answers.

          • Making statements based on opinion; back them up with references or personal experience.


          Use MathJax to format equations. MathJax reference.


          To learn more, see our tips on writing great answers.




          draft saved


          draft discarded














          StackExchange.ready(
          function () {
          StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3065116%2frecursive-qr-factorisation-for-n4sid-what-does-this-equation-mean%23new-answer', 'question_page');
          }
          );

          Post as a guest















          Required, but never shown





















































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown

































          Required, but never shown














          Required, but never shown












          Required, but never shown







          Required, but never shown







          Popular posts from this blog

          MongoDB - Not Authorized To Execute Command

          How to fix TextFormField cause rebuild widget in Flutter

          Npm cannot find a required file even through it is in the searched directory