{"id":7322,"date":"2024-05-02T22:38:37","date_gmt":"2024-05-02T13:38:37","guid":{"rendered":"https:\/\/now0930.pe.kr\/wordpress\/?p=7322"},"modified":"2026-10-04T10:25:03","modified_gmt":"2026-10-04T01:25:03","slug":"controllablity-observability-rank","status":"publish","type":"post","link":"https:\/\/now0930.pe.kr\/wordpress\/controllablity-observability-rank\/","title":{"rendered":"Controllablity, Observability, Rank"},"content":{"rendered":"\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1510\" height=\"440\" src=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/image.png\" alt=\"\" class=\"wp-image-7324\" srcset=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/image.png 1510w, https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/image-768x224.png 768w\" sizes=\"auto, (max-width: 1510px) 100vw, 1510px\" \/><\/figure>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/NeoStudio_20240502_223522.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"NeoStudio_20240502_223522\uc758 \uc0bd\uc785.\"><\/object><a id=\"wp-block-file--media-ab9dab74-752c-4670-a8fb-57c7302a4910\" href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/NeoStudio_20240502_223522.pdf\">NeoStudio_20240502_223522<\/a><a href=\"https:\/\/now0930.pe.kr\/wordpress\/wp-content\/uploads\/2024\/05\/NeoStudio_20240502_223522.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-ab9dab74-752c-4670-a8fb-57c7302a4910\">\ub2e4\uc6b4\ub85c\ub4dc<\/a><\/div>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"[\uc120\ub300] 2-9\uac15. rank (\ud589\ub82c\uc758 \uacc4\uc218)\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/HMST0Yc7EXE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"[\uc120\ud615\ub300\uc218]_18. \ud589\ub82c\uc5d0\uc11c\uc758 \ub7ad\ud06c(Rank in Matrix)\" width=\"580\" height=\"326\" src=\"https:\/\/www.youtube.com\/embed\/ORSP-Rd2NcU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n&#8220;`html\n<div class=\"chapter19-wide\">\n\n  <h1>Controllability \u00b7 Observability \u00b7 Rank<\/h1>\n\n  <div class=\"subtitle\">\n    Linearly Independent \u00b7 Rank \u00b7 Controllability Matrix \u00b7 Observability Matrix\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>1. \ubb38\uc81c<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub2e4\uc74c \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc73c\ub85c \ud45c\ud604\ub418\ub294 \uc2dc\uc2a4\ud15c\uc5d0 \ub300\ud558\uc5ec\n      \uac00\uc81c\uc5b4\uc131 \ubc0f \uac00\uad00\uce21\uc131 \uc5ec\ubd80\ub97c \ud310\uc815\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      dx(t)\/dt\n      =\n      [ 0 &nbsp; 1 ;\n       -1 &nbsp; -2 ] x(t)\n      +\n      [ 1 ;\n       -1 ] u(t)\n    <\/div>\n\n    <div class=\"formula\">\n      y(t)\n      =\n      [ 1 &nbsp; 0 ] x(t)\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      A =\n      [ 0 &nbsp; 1 ;\n       -1 &nbsp; -2 ]\n    <\/div>\n\n    <div class=\"formula\">\n      B =\n      [ 1 ;\n       -1 ]\n    <\/div>\n\n    <div class=\"formula\">\n      C =\n      [ 1 &nbsp; 0 ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>2. Linear Independence<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 \uba3c\uc800\n      Rank \ud310\uc815\uc744 \uc704\ud574\n      Linear Independence \uac1c\ub150\uc744 \ud655\uc778\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      \u03b1v\u2081 + \u03b2v\u2082 = 0\n    <\/div>\n\n    <p>\n      \uc774 \uc2dd\uc744 \ub9cc\uc871\uc2dc\ud0a4\ub294 \uacc4\uc218\uac00\n      \u03b1 = 0, \u03b2 = 0\ubfd0\uc774\uba74\n      \ub450 \ubca1\ud130\ub294 Linearly Independent\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"memory\">\n      <strong>\n        \ubca1\ud130 \uc0ac\uc774\uc5d0 \uc11c\ub85c \uc885\uc18d\ub418\uc9c0 \uc54a\ub294 \ubc29\ud5a5\uc774\n        \uba87 \uac1c \uc874\uc7ac\ud558\ub294\uc9c0\ub97c Rank\uc640 \uc5f0\uacb0\ud55c\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>3. Linear Independent \uc608<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ud544\uae30\uc5d0\uc11c\ub294 \ub2e4\uc74c \ub450 \ubca1\ud130\ub97c \uc608\ub85c \uc0ac\uc6a9\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      v\u2081 =\n      [ 1 ;\n        0 ]\n    <\/div>\n\n    <div class=\"formula\">\n      v\u2082 =\n      [ 0 ;\n        1 ]\n    <\/div>\n\n    <div class=\"formula\">\n      \u03b1\n      [ 1 ;\n        0 ]\n      +\n      \u03b2\n      [ 0 ;\n        1 ]\n      =\n      0\n    <\/div>\n\n    <p>\n      \uc774 \uacbd\uc6b0\n      \u03b1 = 0, \u03b2 = 0\ub9cc \uac00\ub2a5\ud558\ubbc0\ub85c\n      \ub450 \ubca1\ud130\ub294 Linearly Independent\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank = 2\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>4. Linear Dependent \uc608<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub2e4\uc74c \ub450 \ubca1\ud130\ub294\n      \uc11c\ub85c \ubc18\ub300\ubc29\ud5a5\uc758 \ub3d9\uc77c\ud55c \ubca1\ud130\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      v\u2081 =\n      [ 1 ;\n       -1 ]\n    <\/div>\n\n    <div class=\"formula\">\n      v\u2082 =\n      [ -1 ;\n         1 ]\n    <\/div>\n\n    <div class=\"formula\">\n      \u03b1\n      [ 1 ;\n       -1 ]\n      +\n      \u03b2\n      [ -1 ;\n         1 ]\n      =\n      0\n    <\/div>\n\n    <p>\n      \ud544\uae30\uc5d0\uc11c\ub294 \u03b1 = 1, \u03b2 = 1\uacfc \uac19\uc774\n      0\uc774 \uc544\ub2cc \ud574\uac00 \uc874\uc7ac\ud55c\ub2e4\uace0 \uae30\ub85d\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      v\u2082 = -v\u2081\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        \uc11c\ub85c \ubc30\uc218\uad00\uacc4\uc778 \ubca1\ud130\ub294\n        Linearly Dependent\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>5. Rank<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 Rank\ub97c\n      \uc11c\ub85c \ub3c5\ub9bd\uc801\uc778 \ubca1\ud130\uc758 \uac1c\uc218\uc640 \uc5f0\uacb0\ud558\uc5ec \ud310\ub2e8\ud55c\ub2e4.\n    <\/p>\n\n    <pre>\n      Independent Vector \uc218\n              \u2502\n              \u25bc\n             Rank\n    <\/pre>\n\n    <p>\n      2\ucc28 \uc2dc\uc2a4\ud15c\uc5d0\uc11c Rank\uac00 2\uc774\uba74\n      Full Rank\ub85c \ud310\ub2e8\ud558\ub294 \ud750\ub984\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank = n\n      \u2192\n      Full Rank\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>6. Controllability Matrix<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      2\ucc28 \uc2dc\uc2a4\ud15c\uc758 Controllability Matrix\ub97c\n      \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\uc131\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      C_m\n      =\n      [ B &nbsp; AB ]\n    <\/div>\n\n    <p>\n      \uc8fc\uc5b4\uc9c4 B\ub294\n    <\/p>\n\n    <div class=\"formula\">\n      B =\n      [ 1 ;\n       -1 ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>7. AB \uacc4\uc0b0<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"formula\">\n      AB\n      =\n      [ 0 &nbsp; 1 ;\n       -1 &nbsp; -2 ]\n      [ 1 ;\n       -1 ]\n    <\/div>\n\n    <div class=\"formula\">\n      AB\n      =\n      [ -1 ;\n         1 ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>8. Controllability Matrix \uacc4\uc0b0<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \ub530\ub77c\uc11c\n    <\/p>\n\n    <div class=\"formula\">\n      C_m\n      =\n      [ B &nbsp; AB ]\n    <\/div>\n\n    <div class=\"formula\">\n      C_m\n      =\n      [ 1 &nbsp; -1 ;\n       -1 &nbsp;  1 ]\n    <\/div>\n\n    <p>\n      \ub450 \ubc88\uc9f8 \uc5f4\uc740\n      \uccab \ubc88\uc9f8 \uc5f4\uc758 -1\ubc30\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Column\u2082\n      =\n      -Column\u2081\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>9. Determinant\uc640 Rank<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      NeoStudio\uc5d0\uc11c\ub294 determinant\ub3c4 \uacc4\uc0b0\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      det\n      [ 1 &nbsp; -1 ;\n       -1 &nbsp;  1 ]\n      =\n      1 &#8211; 1\n      =\n      0\n    <\/div>\n\n    <div class=\"formula\">\n      det(C_m) = 0\n    <\/div>\n\n    <p>\n      \ub530\ub77c\uc11c \uc774 \ud589\ub82c\uc740 Singular\uc774\uace0,\n      \ub450 \uc5f4\uc774 \ub3c5\ub9bd\uc801\uc774\uc9c0 \uc54a\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank(C_m) = 1\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>10. Controllability \ud310\uc815<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc2dc\uc2a4\ud15c \ucc28\uc218\ub294 2\uc778\ub370\n      Controllability Matrix\uc758 Rank\ub294 1\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank(C_m)\n      =\n      1\n      &lt;\n      2\n    <\/div>\n\n    <div class=\"formula\">\n      \u2234 Uncontrollable\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Controllability Matrix\uac00 Full Rank\uac00 \uc544\ub2c8\ubbc0\ub85c\n        \uc774 \uc2dc\uc2a4\ud15c\uc740 Uncontrollable\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>11. Observability Matrix<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      2\ucc28 \uc2dc\uc2a4\ud15c\uc758 Observability Matrix\ub294\n      \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\uc131\ud55c\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      O\n      =\n      [ C ;\n        CA ]\n    <\/div>\n\n    <p>\n      \uc8fc\uc5b4\uc9c4 \ucd9c\ub825\ud589\ub82c\uc740\n    <\/p>\n\n    <div class=\"formula\">\n      C =\n      [ 1 &nbsp; 0 ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>12. CA \uacc4\uc0b0<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"formula\">\n      CA\n      =\n      [ 1 &nbsp; 0 ]\n      [ 0 &nbsp; 1 ;\n       -1 &nbsp; -2 ]\n    <\/div>\n\n    <div class=\"formula\">\n      CA\n      =\n      [ 0 &nbsp; 1 ]\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>13. Observability Matrix \uacc4\uc0b0<\/h2>\n\n  <div class=\"card\">\n\n    <div class=\"formula\">\n      O\n      =\n      [ 1 &nbsp; 0 ;\n        0 &nbsp; 1 ]\n    <\/div>\n\n    <p>\n      \ub450 \ud589 \ub610\ub294 \ub450 \uc5f4\uc774 \uc11c\ub85c \ub3c5\ub9bd\uc774\ubbc0\ub85c\n      Rank\ub294 2\uc774\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank(O) = 2\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>14. Observability \ud310\uc815<\/h2>\n\n  <div class=\"card\">\n\n    <p>\n      \uc2dc\uc2a4\ud15c \ucc28\uc218\uc640\n      Observability Matrix\uc758 Rank\uac00 \uac19\ub2e4.\n    <\/p>\n\n    <div class=\"formula\">\n      Rank(O)\n      =\n      2\n      =\n      n\n    <\/div>\n\n    <div class=\"formula\">\n      \u2234 Observable\n    <\/div>\n\n    <div class=\"memory\">\n      <strong>\n        Observability Matrix\uac00 Full Rank\uc774\ubbc0\ub85c\n        \uc774 \uc2dc\uc2a4\ud15c\uc740 Observable\uc774\ub2e4.\n      <\/strong>\n    <\/div>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>15. Controllability \u00b7 Observability \ube44\uad50<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\ud56d\ubaa9<\/th>\n          <th>Matrix<\/th>\n          <th>Rank<\/th>\n          <th>\ud310\uc815<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Controllability<\/strong><\/td>\n          <td>\n            [ 1 -1 ; -1 1 ]\n          <\/td>\n          <td>1<\/td>\n          <td>Uncontrollable<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Observability<\/strong><\/td>\n          <td>\n            [ 1 0 ; 0 1 ]\n          <\/td>\n          <td>2<\/td>\n          <td>Observable<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>16. Rank \ud310\uc815 \ud750\ub984<\/h2>\n\n  <div class=\"card\">\n\n    <pre>\n      State Space\n          \u2502\n          \u251c\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2500\u2510\n          \u2502                     \u2502\n          \u25bc                     \u25bc\n     Controllability       Observability\n          \u2502                     \u2502\n          \u25bc                     \u25bc\n       [B  AB]                [C ; CA]\n          \u2502                     \u2502\n          \u25bc                     \u25bc\n      Rank = 1              Rank = 2\n          \u2502                     \u2502\n          \u25bc                     \u25bc\n    Not Full Rank          Full Rank\n          \u2502                     \u2502\n          \u25bc                     \u25bc\n    Uncontrollable          Observable\n    <\/pre>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <h2>17. NeoStudio PDF \ud575\uc2ec \uc815\ub9ac<\/h2>\n\n  <div class=\"table-wrap\">\n\n    <table>\n\n      <thead>\n        <tr>\n          <th>\ud56d\ubaa9<\/th>\n          <th>\uc6d0\ubcf8 \ub0b4\uc6a9<\/th>\n        <\/tr>\n      <\/thead>\n\n      <tbody>\n\n        <tr>\n          <td><strong>Linear Independence<\/strong><\/td>\n          <td>0\uc774 \uc544\ub2cc \uc120\ud615\uacb0\ud569 \uacc4\uc218\uac00 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc74c<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Rank<\/strong><\/td>\n          <td>\ub3c5\ub9bd\uc801\uc778 \ubca1\ud130 \uac1c\uc218\uc640 \uc5f0\uacb0<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>A<\/strong><\/td>\n          <td>[0 1; -1 -2]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>B<\/strong><\/td>\n          <td>[1; -1]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>C<\/strong><\/td>\n          <td>[1 0]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Controllability Matrix<\/strong><\/td>\n          <td>[B AB] = [1 -1; -1 1]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Controllability Rank<\/strong><\/td>\n          <td>1 \u2192 Uncontrollable<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Observability Matrix<\/strong><\/td>\n          <td>[C; CA] = [1 0; 0 1]<\/td>\n        <\/tr>\n\n        <tr>\n          <td><strong>Observability Rank<\/strong><\/td>\n          <td>2 \u2192 Observable<\/td>\n        <\/tr>\n\n      <\/tbody>\n\n    <\/table>\n\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"warning\">\n    <strong>\n      \uc774 HTML\uc740 \ud398\uc774\uc9c0 \ubcf8\ubb38\uacfc \uc5f0\uacb0\ub41c YouTube \uc790\ub8cc\ub97c \uc0ac\uc6a9\ud558\uc9c0 \uc54a\uace0,\n      \uc77c\ubc18 \ubb38\uc81c \uc774\ubbf8\uc9c0 1\uc7a5\uacfc\n      NeoStudio PDF 1\uac1c(\ucd1d 2\ud398\uc774\uc9c0)\ub9cc\n      OCR\/\uc2dc\uac01 \ud310\ub3c5\ud558\uc5ec \uc791\uc131\ud588\ub2e4.\n\n      NeoStudio\uc5d0\uc11c\ub294 \uba3c\uc800 Linear Independence\uc640 Rank\ub97c \uc124\uba85\ud55c \ub4a4,\n      \ubb38\uc81c\uc758 Controllability Matrix\uc640 Observability Matrix\ub97c\n      \uc9c1\uc811 \uacc4\uc0b0\ud558\uc5ec \ud310\uc815\ud55c\ub2e4.\n\n      Controllability Matrix\ub294\n      [1 -1; -1 1]\ub85c \ub450 \uc5f4\uc774 \uc11c\ub85c \uc885\uc18d\ub418\uc5b4 Rank=1\uc774\ubbc0\ub85c\n      Uncontrollable\ub85c \ud310\uc815\ud55c\ub2e4.\n\n      Observability Matrix\ub294\n      [1 0; 0 1]\ub85c Rank=2\uc774\ubbc0\ub85c\n      Observable\ub85c \ud310\uc815\ud55c\ub2e4.\n\n      \ud544\uae30\uc5d0 \uc5c6\ub294 PBH Test, Gramian \ub4f1\uc758 \ucd94\uac00 \ud310\uc815\ubc95\uc740\n      \uc77c\ubc18 \uc774\ub860\uc73c\ub85c \ubcf4\uc644\ud558\uc9c0 \uc54a\uc558\ub2e4.\n    <\/strong>\n  <\/div>\n\n\n  <!-- ================================================= -->\n  <div class=\"keywords\">\n    Controllability,\n    Observability,\n    Rank,\n    Linear Independence,\n    Linearly Independent,\n    Linearly Dependent,\n    Controllability Matrix,\n    Observability Matrix,\n    Full Rank,\n    Singular Matrix,\n    State Space\n  <\/div>\n\n<\/div>\n&#8220;`\n","protected":false},"excerpt":{"rendered":"<p>&#8220;`html Controllability \u00b7 Observability \u00b7 Rank Linearly Independent \u00b7 Rank \u00b7 Controllability Matrix \u00b7 Observability Matrix 1. \ubb38\uc81c \ub2e4\uc74c \uc0c1\ud0dc\ubc29\uc815\uc2dd\uc73c\ub85c \ud45c\ud604\ub418\ub294 \uc2dc\uc2a4\ud15c\uc5d0 \ub300\ud558\uc5ec \uac00\uc81c\uc5b4\uc131 \ubc0f \uac00\uad00\uce21\uc131 \uc5ec\ubd80\ub97c \ud310\uc815\ud55c\ub2e4. dx(t)\/dt = [ 0 &nbsp; 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