[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/16578#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/16578","headline":"\u6700\u9069\u898f\u5236-Wikipedia","name":"\u6700\u9069\u898f\u5236-Wikipedia","description":"before-content-x4 \u6700\u9069\u306a\u898f\u5236 \u7279\u5b9a\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u6700\u9069\u306a\u5236\u5fa1\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306e\u5236\u5fa1\u6280\u8853\u306e\u539f\u5247\u3067\u3059\u3002\u6700\u9069\u306b\u306f\u3001\u54c1\u8cea\u306e\u54c1\u8cea\u3092\u610f\u5473\u3057\u307e\u3059 j {displaystyle j} after-content-x4 \u6700\u5c0f\u5316\u3055\u308c\u307e\u3059\u3002\u54c1\u8cea\u30ec\u30fc\u30c8\u306e\u54c1\u8cea \u6a19\u6e96\u30b5\u30a4\u30ba\u304a\u3088\u3073\u305d\u306e\u4ed6\u306e\u72b6\u614b\u5909\u6570\u306e\u6642\u9593\u7d4c\u904e \u30de\u30cb\u30e5\u30a2\u30eb\u30b5\u30a4\u30ba\u306e\u6642\u9593\u7d4c\u904e \u9077\u79fb\u306e\u671f\u9593 \u7279\u306b3\u756a\u76ee\u306e\u30dd\u30a4\u30f3\u30c8\u3082\u7701\u7565\u3067\u304d\u307e\u3059\u3002 \u627f\u8a8d\u306e\u7a2e\u985e\u3068\u30eb\u30fc\u30c8\u306b\u5fdc\u3058\u3066\u3001\u7d50\u679c\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u7dda\u5f62\u307e\u305f\u306f\u975e\u7dda\u5f62\u306b\u306a\u308a\u307e\u3059\u3002 after-content-x4 \u7279\u5225\u306a\u30d5\u30a9\u30fc\u30e0\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u6700\u9069\u5316\u3067\u3042\u308a\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u304c\u6307\u5b9a\u3055\u308c\u3001\u6700\u9069\u5316\u306b\u5f93\u3063\u3066\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u307f\u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u3001\u305d\u308c\u306f\u3055\u3089\u306a\u308b\u52b4\u529b\u3092\u304b\u3051\u305a\u306b\u9069\u7528\u3067\u304d\u308b\u30eb\u30fc\u30eb\u3092\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 \u3088\u308a\u5e83\u3044\u610f\u5473\u3067\u306e\u6700\u9069\u5316\u306f\u3001\u6700\u521d\u306b\u4e00\u822c\u7684\u306a\u898f\u5247\u6cd5\u3092\u60f3\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002 \u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u8a08\u7b97\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001 Pontrjagin\u306e\u6700\u5927\u539f\u7406 \u307e\u305f\u306f\u3001\u76ee\u7684\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u3001Bellman\u306e\u6700\u9069\u6027\u306e\u539f\u7406\u304b\u3089\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002 \u30eb\u30fc\u30c8\u304c\u7dda\u5f62\u3067\u6642\u9593\u7684\u3067\u3042\u308b\u5834\u5408\u3001\u6bd4\u8f03\u7684\u5358\u7d14\u306a\u6761\u4ef6\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u7dda\u5f62\u898f\u5236\u6cd5\u3001\u3064\u307e\u308aH.\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u3001\u72b6\u614b\u3092\u5b8c\u5168\u306b\u518d\u69cb\u7bc9\u3059\u308b\u72b6\u614b\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u3067\u3059\u3002","datePublished":"2021-05-19","dateModified":"2021-05-19","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/359e4f407b49910e02c27c2f52e87a36cd74c053","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/359e4f407b49910e02c27c2f52e87a36cd74c053","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/16578","wordCount":4700,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 \u6700\u9069\u306a\u898f\u5236 \u7279\u5b9a\u306e\u30b7\u30b9\u30c6\u30e0\u306e\u6700\u9069\u306a\u5236\u5fa1\u3092\u898b\u3064\u3051\u308b\u305f\u3081\u306e\u5236\u5fa1\u6280\u8853\u306e\u539f\u5247\u3067\u3059\u3002\u6700\u9069\u306b\u306f\u3001\u54c1\u8cea\u306e\u54c1\u8cea\u3092\u610f\u5473\u3057\u307e\u3059 j {displaystyle j}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u6700\u5c0f\u5316\u3055\u308c\u307e\u3059\u3002\u54c1\u8cea\u30ec\u30fc\u30c8\u306e\u54c1\u8cea \u6a19\u6e96\u30b5\u30a4\u30ba\u304a\u3088\u3073\u305d\u306e\u4ed6\u306e\u72b6\u614b\u5909\u6570\u306e\u6642\u9593\u7d4c\u904e \u30de\u30cb\u30e5\u30a2\u30eb\u30b5\u30a4\u30ba\u306e\u6642\u9593\u7d4c\u904e \u9077\u79fb\u306e\u671f\u9593 \u7279\u306b3\u756a\u76ee\u306e\u30dd\u30a4\u30f3\u30c8\u3082\u7701\u7565\u3067\u304d\u307e\u3059\u3002 \u627f\u8a8d\u306e\u7a2e\u985e\u3068\u30eb\u30fc\u30c8\u306b\u5fdc\u3058\u3066\u3001\u7d50\u679c\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u7dda\u5f62\u307e\u305f\u306f\u975e\u7dda\u5f62\u306b\u306a\u308a\u307e\u3059\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u7279\u5225\u306a\u30d5\u30a9\u30fc\u30e0\u306f\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u6700\u9069\u5316\u3067\u3042\u308a\u3001\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u304c\u6307\u5b9a\u3055\u308c\u3001\u6700\u9069\u5316\u306b\u5f93\u3063\u3066\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u30d1\u30e9\u30e1\u30fc\u30bf\u30fc\u306e\u307f\u304c\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002\u6700\u7d42\u7684\u306b\u3001\u305d\u308c\u306f\u3055\u3089\u306a\u308b\u52b4\u529b\u3092\u304b\u3051\u305a\u306b\u9069\u7528\u3067\u304d\u308b\u30eb\u30fc\u30eb\u3092\u8a2d\u5b9a\u3059\u308b\u3053\u3068\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 \u3088\u308a\u5e83\u3044\u610f\u5473\u3067\u306e\u6700\u9069\u5316\u306f\u3001\u6700\u521d\u306b\u4e00\u822c\u7684\u306a\u898f\u5247\u6cd5\u3092\u60f3\u5b9a\u3057\u3066\u3044\u307e\u3059\u3002\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u8a08\u7b97\u306e\u52a9\u3051\u3092\u501f\u308a\u3066\u3001Pontrjagin\u306e\u6700\u5927\u539f\u7406\u307e\u305f\u306f\u3001\u76ee\u7684\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u3001Bellman\u306e\u6700\u9069\u6027\u306e\u539f\u7406\u304b\u3089\u5c0e\u51fa\u3067\u304d\u307e\u3059\u3002\u30eb\u30fc\u30c8\u304c\u7dda\u5f62\u3067\u6642\u9593\u7684\u3067\u3042\u308b\u5834\u5408\u3001\u6bd4\u8f03\u7684\u5358\u7d14\u306a\u6761\u4ef6\u304c\u767a\u751f\u3057\u307e\u3059\u3002\u6b21\u306b\u3001\u7dda\u5f62\u898f\u5236\u6cd5\u3001\u3064\u307e\u308aH.\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u3001\u72b6\u614b\u3092\u5b8c\u5168\u306b\u518d\u69cb\u7bc9\u3059\u308b\u72b6\u614b\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u3067\u3059\u3002 a\u4ee5\u6765 albraic riccati\u65b9\u7a0b\u5f0f \u3053\u306e\u30b3\u30f3\u30c8\u30ed\u30fc\u30e9\u30fc\u306f\u3001riccatreger\u3068\u3082\u547c\u3070\u308c\u307e\u3059\u3002 \u6700\u9069\u306a\u5236\u5fa1\u306b\u95a2\u3059\u308b\u6700\u9069\u306a\u8abf\u7bc0\u306e\u305f\u3081\u306e\u4e00\u822c\u7684\u306a\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3 [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u3053\u306e\u6700\u9069\u306a\u898f\u5236\u3092\u898b\u3064\u3051\u308b1\u3064\u306e\u65b9\u6cd5\u306f\u3001\u6700\u521d\u306b\u6700\u9069\u306a\u5236\u5fa1\u3067\u3059 \u306e {displaystyleu} \u305d\u308c\u304b\u3089\u6700\u9069\u306a\u30eb\u30fc\u30eb\u6cd5\u3092\u898b\u3064\u3051\u3066\u5c0e\u304d\u51fa\u3059\u3002\u307e\u305a\u7b2c\u4e00\u306b\u3001\u54c1\u8cea\u306e\u54c1\u8cea        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4j {displaystyle j} \u30b3\u30f3\u30c8\u30ed\u30fc\u30eb\u306b\u95a2\u3057\u3066\u30bb\u30c3\u30c8\u30a2\u30c3\u30d7\u3057\u307e\u3059\u3002\u4e3b\u306b\u6700\u9069\u306a\u6642\u9593\u307e\u305f\u306f\u6b63\u65b9\u5f62\u306e\u54c1\u8cea\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u6700\u9069\u306a\u898f\u5236\u306e\u54c1\u8cea\uff1a j = \u521d\u3081 2 \u222b t0te\uff08 x_t Q _ \u30d0\u30c4 _ + u_t r _ \u306e _ \uff09\uff09 d t {displaystyle j = {frac {1} {2}} int _ {t_ {0}}^{t_ {e}}}\uff08{underline {x}}^{t} {underline {q}} {underline {x}}+{underline {u}} {u}^{u}^ {u}}\uff09dt}  \u305f\u3060\u3057\u3001\u4ed6\u306e\u54c1\u8cea\u306e\u54c1\u8cea\u3082\u53ef\u80fd\u3067\u3059\u3002 B.\u30c8\u30e9\u30f3\u30b8\u30a7\u30b7\u30a7\u306e\u54c1\u8cea\u307e\u305f\u306f\u30e1\u30a4\u30a8\u30eb\u30b7\u30a7\u306e\u54c1\u8cea\u3002\u305f\u3060\u3057\u3001\u3053\u308c\u3089\u306f\u3059\u3079\u3066\u3001\u627f\u8a8d\u306e\u30dc\u30eb\u30b6\u8ef8\u306e\u7279\u5225\u306a\u30b1\u30fc\u30b9\u3067\u3059\u3002 j = h \uff08 \u30d0\u30c4 _ \uff08 t \u305d\u3046\u3067\u3059 \uff09\uff09 \u3001 t \u305d\u3046\u3067\u3059 \uff09\uff09 \uff09\uff09 + \u222b t0tef 0 \uff08 \u30d0\u30c4 _ \uff08 t \uff09\uff09 \u3001 \u306e _ \uff08 t \uff09\uff09 \u3001 t \uff09\uff09 d t {displaystyle j = h\uff08{underline {x}}\uff08t_ {e}\uff09\u3001t_ {e}\uff09+int _ {t_ {0}}^{t_ {e}} f_ {0}\uff08{underline {x}}\uff08t\uff09\u3001{underline {u}}\uff08t\uff09  \u30b7\u30b9\u30c6\u30e0\u306e\u72b6\u614b\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\uff1a x\u02d9_ \uff08 t \uff09\uff09 = f _ \uff08 \u30d0\u30c4 _ \u3001 \u306e _ \u3001 t \uff09\uff09 {displaystyle {underline {dot {x}}}\uff08t\uff09= {underline {f}}\uff08{underline {x}}\u3001{underline {u}}\u3001t\uff09}  \u305d\u3057\u3066\u5883\u754c\u6761\u4ef6\uff1a \u30d0\u30c4 _ \uff08 t 0 \uff09\uff09 = x_0 \u3001 \u30d0\u30c4 _ \uff08 t \u305d\u3046\u3067\u3059 \uff09\uff09 = x_\u305d\u3046\u3067\u3059 {displaystyle {underline {x}}\uff08t_ {0}\uff09= {underline {x}} _ {0}\u3001{underline {x}}}\uff08t_ {e}\uff09= {underline {x}} _ {e}}}}  \u30d9\u30af\u30c8\u30eb\u304c\u6c42\u3081\u3089\u308c\u307e\u3059 (x(t)u(t))\u3001 t 0 \u2264 t \u2264 t \u305d\u3046\u3067\u3059 {displaystyle {x\uff08t\uff09choose u\uff08t\uff09}\u3001t_ {0} leq tleq t_ {e}} \u3053\u308c\u306b\u3088\u308a\u3001\u54c1\u8cea\u306e\u54c1\u8cea\u304c\u7d76\u5bfe\u7684\u306a\u6700\u5c0f\u5024\u306b\u306a\u308a\u307e\u3059\u3002 \u3053\u306e\u30d0\u30ea\u30a8\u30fc\u30b7\u30e7\u30f3\u306e\u554f\u984c\u306f\u901a\u5e38\u3001\u30e9\u30b0\u30e9\u30f3\u30b8\u30e5\u4e57\u6570\u306b\u57fa\u3065\u3044\u305f\u30cf\u30df\u30eb\u30c8\u30f3\u95a2\u6570H\u3092\u4ecb\u3057\u3066\u89e3\u6c7a\u3055\u308c\u307e\u3059\u3002 \u30cf\u30df\u30eb\u30c8\u30f3\u95a2\u6570\uff1a h \uff08 \u30d0\u30c4 _ \u3001 \u03c6 _ \u3001 \u306e _ \u3001 t \uff09\uff09 =  –  f 0 \uff08 \u30d0\u30c4 _ \u3001 \u306e _ \u3001 t \uff09\uff09 + \u03c8_t f _ \uff08 \u30d0\u30c4 _ \u3001 \u306e _ \u3001 t \uff09\uff09 {displaystyle h\uff08{underline {x}}\u3001{underline {psi}}\u3001{underline {u}}\u3001t\uff09= -f_ {0}\uff08{underline {x}}\u3001{underline {u}}\u3001t\uff09+{underline }\u3001{underline {u}}\u3001t\uff09}  \u6a19\u6e96\u7684\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\uff1a \u72b6\u614b\u5fae\u5206\u65b9\u7a0b\u5f0f\uff1a x_\u02d9= \u2202H\u2202\u03c8_{displaystyle {dot {underline {x}}} = {frac {partial h} {partial {underline {psi}}}}}}} \u5fae\u5206\u65b9\u7a0b\u5f0f\u3092\u8abf\u6574\u3057\u307e\u3059\uff1a \u03c8_\u02d9=  –  \u2202H\u2202x_{displaystyle {dot {underline {psi}}} =  –  {frac {partial h} {partial {underline {x}}}}}}} \u5236\u5fa1\u65b9\u7a0b\u5f0f\uff1a \u2202H\u2202u_= 0 _ \u3001 {displaystyle {frac {partial h} {partial {underline {u}}} = {underline {0}}\u3001}}  \u6a2a\u65b9\u5411\u306e\u72b6\u614b\uff1a \u2202h\u2202x_te+ \u03c6 _ \uff08 t \u305d\u3046\u3067\u3059 \uff09\uff09  –  \u2202z_\u2202x_tet m _ = 0 _ {displaystyle {frac {partial h} {partial {underline {x}}}} _ {t_ {e}}+{underline {psi}}\uff08t_ {e}\uff09 –  {frac {partial {underline {z}}} {{x} {} {} {{} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {} {{} {} {} {} {} {} {} {} {} {} {}} }^{t} {underline {mu}} = {underline {0}}}}}  \u30a8\u30f3\u30c9\u30dd\u30a4\u30f3\u30c8\u304carbitrarily\u610f\u7684\u306b\uff1a \u03c6 \uff08 t \u305d\u3046\u3067\u3059 \uff09\uff09 =  –  \u2202H\u2202x_te{displaystyle psi\uff08t_ {e}\uff09=  –  {frac {partial h} {partial {underline {x}}}} _ {t_ {e}}}}  \u89e3\u6c7a [ \u7de8\u96c6 | \u30bd\u30fc\u30b9\u30c6\u30ad\u30b9\u30c8\u3092\u7de8\u96c6\u3057\u307e\u3059 ] \u6b21\u306b\u3001\u4ee5\u524d\u306b\u8aac\u660e\u3057\u305f\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u624b\u9806\u3092\u51e6\u7406\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 \u5236\u5fa1\u65b9\u7a0b\u5f0f\u306f\u3001\u6700\u521d\u306f\u6a19\u6e96\u7684\u306a\u5fae\u5206\u65b9\u7a0b\u5f0f\u3067\u4f7f\u7528\u3055\u308c\u3001 \u306e {displaystyleu} \u5909\u63db\u3055\u308c\u305f\u3002 \u4e00\u822c\u7684\u306a\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u306e\u6c7a\u5b9a x_{displaystyle {underline {x}}} \u3068 \u03c8_{displaystyle {underline {psi}}} \u5883\u754c\u6761\u4ef6\u306b\u5bfe\u3059\u308b\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u3092\u8abf\u6574\u3057\u307e\u3059 \u306e\u4f7f\u7528 c_\uff08 x_0\uff09\uff09 {displaystyle {underline {c}}\uff08{underline {x}} _ {0}\uff09}}} \u30b9\u30c6\u30c3\u30d72\u306e\u65b9\u7a0b\u5f0f\u3067\u306f\u3001\u30b9\u30c6\u30c3\u30d71\u306e\u5236\u5fa1\u65b9\u7a0b\u5f0f\u3067\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002\u6700\u9069\u306a\u7a0e\u30d9\u30af\u30bf\u30fc\u306e\u7d50\u679c\u3002 \u898f\u5236\u4e0a\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u30b9\u30c6\u30c3\u30d7\u3082\u5fc5\u8981\u3067\u3059\u3002\u4ee5\u524d\u306b\u767a\u898b\u3055\u308c\u305f\u30bd\u30ea\u30e5\u30fc\u30b7\u30e7\u30f3\u304b\u3089\u5fc5\u8981\u3067\u3059 x0_{displaystyle {underline {x_ {0}}}}} \u5f8c\u306e\u6700\u521d\u306e\u65b9\u7a0b\u5f0f\uff08\u6700\u9069\u306a\u8e0f\u307f\u8fbc\u307f\uff09\u306b\u3088\u3063\u3066\u524a\u9664\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059 x0_{displaystyle {underline {x_ {0}}}}} \u5909\u63db\u3055\u308c\u30012\u756a\u76ee\u306b\u633f\u5165\u3055\u308c\u307e\u3057\u305f\u3002\u6700\u9069\u306a\u898f\u5236\u6cd5\u306e\u7d50\u679c\u3002 \u5b9f\u969b\u306b\u306f\u3001\u5206\u5e03\u4fe1\u53f7\u306f\u307b\u3068\u3093\u3069\u5236\u9650\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u6700\u5927\u539f\u7406\u3068\u30d5\u30a3\u30fc\u30eb\u30c9\u30c4\u30ea\u30fc\u306e\u6587\uff08N\u30b9\u30a4\u30c3\u30c1\u30f3\u30b0\u9593\u9694\u304b\u3089\u8a2d\u5b9a\uff09\u304c\u4f7f\u7528\u3055\u308c\u307e\u3059\u3002 \u30d5\u30a3\u30fc\u30eb\u30c9\u30c4\u30ea\u30fc\u306e\u30d5\u30a3\u30fc\u30eb\u30c9\u306f\u6b21\u306e\u3088\u3046\u306b\u8ff0\u3079\u3066\u3044\u307e\u3059 \u30b7\u30b9\u30c6\u30e0\u3067\u3059 x_\u02d9= a _ \u30d0\u30c4 _ + b1_ \u306e \u521d\u3081 + \u3002 \u3002 \u3002 + bp_ \u306e p {displaystyle {dot {underline {x}}} = {underline {a}} {underline {x}}+{underline {b_ {1}}}} {1}+{underline {b_ {p}}}} u_ {p}}}}} \u5b9a\u6570\uff08n\u3001n\uff09\u884c\u5217\u4ed8\u304d a _ {displaystyle {underline {a}}} \u304a\u3088\u3073\u5b9a\u6570\u30d9\u30af\u30c8\u30eb b1_ \u3001 \u3002 \u3002 \u3002 \u3001 bp_ {displaystyle {underline {b_ {1}}} ,, … ,, {underline {b_ {p}}}}} \u5404\u5165\u529b\u304b\u3089\u5236\u5fa1\u53ef\u80fd\u3067\u3042\u308a\u3001\u6301\u3063\u3066\u3044\u307e\u3059 a _ {displaystyle {underline {a}}} \u5b9f\u969b\u306e\u4fa1\u5024\u306e\u307f\u3001\u6642\u9593\u6700\u9069\u306a\u7a0e\u30d9\u30af\u30bf\u30fc\u306e\u3059\u3079\u3066\u306e\u30b3\u30f3\u30dd\u30fc\u30cd\u30f3\u30c8\u304c\u6301\u3063\u3066\u3044\u307e\u3059 \u306e _ \uff08 t \uff09\uff09 {displaystyle {underline {u}}\uff08t\uff09} \u6700\u5927\u306eN-1\u30b9\u30a4\u30c3\u30c1\u30f3\u30b0\u3002 \u6700\u5927\u539f\u5247\u306b\u3088\u308c\u3070\u3001\u30b9\u30a4\u30c3\u30c1\u30f3\u30b0\u95a2\u6570\u306f\u5206\u5e03\u4fe1\u53f7\u306e\u6700\u5927\u5024\/\u6700\u5c0f\u5024\u306e\u307f\u3092\u53d6\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 \u30aa\u30c3\u30c8\u30fc\u30fb\u30d5\u30a7\u30eb\u30f3\u30b8\u30e3\u30fc\uff1a \u6700\u9069\u306a\u898f\u5236\u3068\u5236\u5fa1 \u3002\u7b2c4\u7248\u3002 Oldenbourg Verlag\u30011994\u3001ISBN 3-486-23116-2\u3002  \u30cf\u30f3\u30b9P.\u30b0\u30c3\u30c7\u30a3\u30f3\u30b0\uff1a \u30a8\u30f3\u30b8\u30cb\u30a2\u30ea\u30f3\u30b0\u30a2\u30d7\u30ea\u30b1\u30fc\u30b7\u30e7\u30f3\u3092\u4f7f\u7528\u3057\u305f\u6700\u9069\u306a\u5236\u5fa1 \u3002 Springs Publisher\u30012007\u3001ISBN 978-3-540-69437-3\u3002  G\u00fcnterLudyk\uff1a \u7406\u8ad6\u7684\u5236\u5fa1\u6280\u8853\u3002\u30dc\u30ea\u30e5\u30fc\u30e01\uff1a\u57fa\u672c\u3001\u7dda\u5f62\u8abf\u7bc0\u30b7\u30b9\u30c6\u30e0\u306e\u5408\u6210 \u3002 Springs Publishers\u3001Berlin 1995\u3001ISBN 3-540-55041-0\u3002  G\u00fcnterLudyk\uff1a \u7406\u8ad6\u7684\u5236\u5fa1\u6280\u8853\u3002\u7b2c2\u5dfb\uff1a\u72b6\u614b\u518d\u69cb\u7bc9\u3001\u6700\u9069\u304a\u3088\u3073\u975e\u7dda\u5f62\u306e\u8abf\u7bc0\u30b7\u30b9\u30c6\u30e0 \u3002 Springs Publishe\u3001Berlin 1995\u3001ISBN 3-540-58675-X\u3002       (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4"},{"@context":"http:\/\/schema.org\/","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/#breadcrumbitem","name":"Enzyklop\u00e4die"}},{"@type":"ListItem","position":2,"item":{"@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/16578#breadcrumbitem","name":"\u6700\u9069\u898f\u5236-Wikipedia"}}]}]