{"id":18898,"date":"2026-09-01T22:24:53","date_gmt":"2026-09-01T12:24:53","guid":{"rendered":"https:\/\/geoffreychen.com\/controllability-depends-on-available-inputs\/"},"modified":"2026-09-01T22:24:53","modified_gmt":"2026-09-01T12:24:53","slug":"controllability-depends-on-available-inputs","status":"publish","type":"post","link":"https:\/\/geoffreychen.com\/zh\/controllability-depends-on-available-inputs\/","title":{"rendered":"\u53ef\u63a7\u6027\uff1a\u770b\u89c1\u72b6\u6001\u4e3a\u4ec0\u4e48\u4e0d\u7b49\u4e8e\u80fd\u6539\u53d8\u5b83\uff1f"},"content":{"rendered":"<\/p>\n<p><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/public-assets.geoffreychen.com\/wordpress\/articles\/controllability-depends-on-available-inputs\/81291260f7b9029a5f19d031.jpg?w=1140&#038;ssl=1\" alt=\"\u53ef\u63a7\u6027\uff1a\u770b\u89c1\u72b6\u6001\u4e3a\u4ec0\u4e48\u4e0d\u7b49\u4e8e\u80fd\u6539\u53d8\u5b83\uff1f\" loading=\"lazy\"><\/p>\n<p>\u53ef\u63a7\u6027\u5173\u5fc3\uff1a\u4ece\u5f53\u524d\u72b6\u6001\u51fa\u53d1\uff0c\u80fd\u5426\u901a\u8fc7\u7cfb\u7edf\u5141\u8bb8\u7684\u8f93\u5165\uff0c\u5728\u6709\u9650\u65f6\u95f4\u5185\u628a\u5b83\u5e26\u5230\u76ee\u6807\u72b6\u6001\u3002\u6e29\u5ba4\u91cc\u7684\u4f20\u611f\u5668\u53ef\u4ee5\u51c6\u786e\u663e\u793a35\u2103\uff0c\u4f46\u82e5\u8bbe\u5907\u53ea\u6709\u52a0\u70ed\u5668\uff0c\u6ca1\u6709\u901a\u98ce\u3001\u906e\u9633\u6216\u5236\u51b7\uff0c\u7ba1\u7406\u8005\u5373\u4f7f\u77e5\u9053\u5e94\u964d\u523025\u2103\uff0c\u4e5f\u4e0d\u80fd\u9760\u73b0\u6709\u8f93\u5165\u4e3b\u52a8\u505a\u5230\u3002<\/p>\n<p>\u53ef\u63a7\u6027\u4e0d\u540c\u4e8e\u53ef\u89c2\u6d4b\u6027\u3002\u540e\u8005\u95ee\u80fd\u5426\u4f9d\u636e\u5916\u90e8\u4fe1\u53f7\u63a8\u65ad\u5185\u90e8\u72b6\u6001\uff1b\u524d\u8005\u95ee\u6709\u6ca1\u6709\u8db3\u4ee5\u6539\u53d8\u72b6\u6001\u7684\u4f5c\u7528\u901a\u9053\u3002\u5b83\u4e5f\u6bd4\u4e00\u822c\u53ef\u8fbe\u6027\u66f4\u5f3a\u8c03\u8f93\u5165\u80fd\u529b\uff1a\u76ee\u6807\u7406\u8bba\u4e0a\u5b58\u5728\uff0c\u4e0d\u7b49\u4e8e\u5f53\u524d\u6267\u884c\u5668\u3001\u6743\u9650\u548c\u65f6\u95f4\u5141\u8bb8\u62b5\u8fbe\u3002<\/p>\n<p>\u8fd9\u4e2a\u6982\u5ff5\u63d0\u9192\u6211\u4eec\uff0c\u201c\u63a7\u5236\u201d\u4e0d\u662f\u610f\u613f\u5f3a\u70c8\uff0c\u4e5f\u4e0d\u662f\u4e0d\u65ad\u53d1\u51fa\u547d\u4ee4\uff0c\u800c\u662f\u76ee\u6807\u3001\u52a8\u529b\u8fc7\u7a0b\u548c\u53ef\u7528\u8f93\u5165\u4e4b\u95f4\u662f\u5426\u5339\u914d\u3002\u589e\u52a0\u4f20\u611f\u5668\u4f1a\u6539\u5584\u8ba4\u8bc6\uff0c\u5374\u4e0d\u4e00\u5b9a\u589e\u52a0\u63a7\u5236\uff1b\u589e\u52a0\u4e00\u4e2a\u771f\u6b63\u4f5c\u7528\u4e8e\u7f3a\u5931\u65b9\u5411\u7684\u8f93\u5165\uff0c\u624d\u53ef\u80fd\u6539\u53d8\u53ef\u63a7\u8303\u56f4\u3002<\/p>\n<p><a href=\"https:\/\/ocw.mit.edu\/courses\/6-832-underactuated-robotics-spring-2009\/resources\/lecture-6-acrobot-and-cart-pole\/\" rel=\"nofollow\">https:\/\/ocw.mit.edu\/courses\/6-832-underactuated-robotics-spring-2009\/resources\/lecture-6-acrobot-and-cart-pole\/<\/a><br \/><a href=\"https:\/\/ntrs.nasa.gov\/citations\/19700032148\" rel=\"nofollow\">https:\/\/ntrs.nasa.gov\/citations\/19700032148<\/a><\/p>\n<p>","protected":false},"excerpt":{"rendered":"","protected":false},"author":17897162,"featured_media":0,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_geoff_meta_description_en":"Controllability asks whether available inputs can drive a system to a target state; knowing the temperature is not enough when cooling is unavailable.","_geoff_meta_description_zh":"\u53ef\u63a7\u6027\u5173\u5fc3\u53ef\u7528\u8f93\u5165\u80fd\u5426\u5728\u5141\u8bb8\u65f6\u95f4\u548c\u9650\u5236\u5185\u628a\u7cfb\u7edf\u5e26\u5230\u76ee\u6807\u72b6\u6001\u3002\u6e29\u5ea6\u53ef\u6d4b\u3001\u76ee\u6807\u660e\u786e\uff0c\u82e5\u6e29\u5ba4\u53ea\u6709\u52a0\u70ed\u5668\u800c\u6ca1\u6709\u964d\u6e29\u901a\u9053\uff0c\u4ecd\u4e0d\u53ef\u5b8c\u5168\u63a7\u5236\u3002","_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[787294141],"tags":[787298974,787298972,787298973,787298975],"class_list":["post-18898","post","type-post","status-publish","format-standard","hentry","category-philosophical-concepts","tag-control-systems","tag-controllability","tag-controllability-zh","tag-control-systems-zh",""],"translatepress_titles":{"en_AU":"Controllability: Why Does Seeing a State Not Mean We Can Change It?","zh_CN":"\u53ef\u63a7\u6027\uff1a\u770b\u89c1\u72b6\u6001\u4e3a\u4ec0\u4e48\u4e0d\u7b49\u4e8e\u80fd\u6539\u53d8\u5b83\uff1f"},"jetpack_publicize_connections":[],"jetpack_likes_enabled":false,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1ar9H-4UO","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/18898","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/users\/17897162"}],"replies":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/comments?post=18898"}],"version-history":[{"count":0,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/18898\/revisions"}],"wp:attachment":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/media?parent=18898"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/categories?post=18898"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/tags?post=18898"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}