# 李雅普诺夫函数/edithistory

954982985 2020-05-05T09:32:51Z 94.187.54.38 /* Example */
946446690 2020-03-20T05:59:51Z InternetArchiveBot Rescuing 1 sources and tagging 0 as dead.) #IABot (v2.0
943209825 2020-02-29T15:05:21Z 2A01:E35:2FF8:1400:B07C:8A25:861B:6217 replaced the notation f (undefined, probably deprecated from previous editions) with x dot
933015347 2019-12-29T14:11:55Z 82.9.179.58
889470059 2019-03-25T22:06:52Z 193.197.66.12 /* Globally asymptotically stable equilibrium */The equilibrium x has to be isolated for applying this method - elsewhise ∀ε>0 ∃x' ∈ B(x,ε): x' is an equilibrium, which means a solution starting in x' won't converge to x, thus preventing asymptotic stability.
889469921 2019-03-25T22:05:46Z 193.197.66.12 /* Locally asymptotically stable equilibrium */The equilibrium x has to be isolated for applying this method - elsewhise ∀ε>0 ∃x' ∈ B(x,ε): x' is an equilibrium, which means a solution starting in x' won't converge to x, thus preventing asymptotic stability.
887575793 2019-03-13T14:22:32Z Bender235 /* Further discussion of the terms arising in the definition */ typos
887467253 2019-03-12T21:18:26Z Juto20 Clarifiyed the definition to protect against misunderstanding for less standard notation
862716944 2018-10-06T06:30:10Z Cydebot Robot - Removing category Lyapunov family per [[WP:CFD|CFD]] at [[Wikipedia:Categories for discussion/Log/2018 September 23]].
862709783 2018-10-06T05:23:46Z Cydebot Robot - Removing category Eponymous scientific concepts per [[WP:CFD|CFD]] at [[Wikipedia:Categories for discussion/Log/2018 September 22]].
862481182 2018-10-04T17:15:27Z Ant314159265 /* top */
860840270 2018-09-23T12:10:09Z OlKob
860072666 2018-09-18T04:23:21Z 66.215.233.181 /* Locally asymptotically stable equilibrium */
860072655 2018-09-18T04:23:13Z 66.215.233.181 /* Stable equilibrium */
858224704 2018-09-05T20:38:26Z 77.19.66.51 /* Stable equilibrium */Any function f : V -> R is said to be (strictly) negative definite if f < 0. Here, to guarantee asymptotic stability, f must be (strictly) negative definite. A semi-definite function can't guarantee asymptotic stability.
857334824 2018-08-31T02:07:20Z Turgidson added [[Category:Eponymous scientific concepts]] using [[WP:HC|HotCat]]
849809953 2018-07-11T14:03:13Z 131.218.141.101 Undid revision 849809756 by [[Special:Contributions/131.218.141.101|131.218.141.101]] ([[User talk:131.218.141.101|talk]])
849809756 2018-07-11T14:01:23Z 131.218.141.101 * Since g(x) describes the system's evolution, an equilibrium point is where g(x) = x, not where g(x) = 0. The following coordinate transformation argument only makes sense under this corrected definition.
841362353 2018-05-15T11:28:10Z Benblunt1 grammatical corrections and adding "first" to conditions on derivatives.
825748053 2018-02-15T05:04:36Z Bender235 removed [[WP:RSSELF|self-promoting]] content by [[Special:Contributions/Myrocarcassonne|Myrocarcassonne]]; we [[Wikipedia talk:WikiProject_Mathematics/Archive/2016/Sep#Breakthrough on Lyapunov functions?|discussed this before]].
821156905 2018-01-18T19:13:03Z 130.64.25.59 /* Example */
820288664 2018-01-14T01:49:57Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
820080735 2018-01-12T23:43:30Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
820072437 2018-01-12T22:40:56Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818956051 2018-01-06T15:44:13Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818956007 2018-01-06T15:43:50Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818955726 2018-01-06T15:42:00Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818880460 2018-01-06T03:58:03Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818879177 2018-01-06T03:46:50Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818879110 2018-01-06T03:46:16Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818878548 2018-01-06T03:40:54Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818878401 2018-01-06T03:39:17Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818878174 2018-01-06T03:37:01Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818849627 2018-01-05T23:25:41Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818849233 2018-01-05T23:22:48Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818839740 2018-01-05T22:13:17Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818839331 2018-01-05T22:10:24Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818807239 2018-01-05T18:14:33Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
818524079 2018-01-04T01:48:15Z 94.12.24.19
818188021 2018-01-02T03:21:24Z Myrocarcassonne /* Canonical generalization of Lyapunov's second method or general procedure of utilization of Lyapunov functions */
814292246 2017-12-07T22:56:53Z Citation bot Add: eprint, asin. Removed parameters. You can [[WP:UCB|use this bot]] yourself. [[WP:DBUG|Report bugs here]].
812563919 2017-11-28T15:31:34Z Myrocarcassonne Reverting vandalism.
802654299 2017-09-27T15:58:10Z Latex-yow
792283926 2017-07-25T16:48:32Z 134.130.71.209 corrected variable taken from formul above
766733051 2017-02-21T20:50:28Z 128.112.116.13 /* Locally asymptotically stable equilibrium */
766532322 2017-02-20T18:45:10Z 93.129.2.48 /* Locally asymptotically stable equilibrium, no we are just stable, if we converge to Minimum or 0 */
766531383 2017-02-20T18:39:21Z 93.129.2.48 /* Stable equilibrium, we need V(x)<0 to converge to 0 */
766530766 2017-02-20T18:35:11Z 93.129.2.48 /* Stable equilibrium, stable in the sense of Lyapunov since there are many definitions of stability, the other is wrong/underspecified */
763836905 2017-02-05T14:21:12Z 86.176.227.39 /* Example */ Grammar
763289798 2017-02-02T11:27:26Z Dpinna85 /* Definition of a Lyapunov function */
754238761 2016-12-11T16:08:54Z 164.15.240.196 /* Example */
753448397 2016-12-07T05:55:07Z 2602:306:3BEB:1390:319C:3705:1DEA:C102 Typos in equation
751795956 2016-11-27T22:05:28Z 128.103.54.218 /* Definition of a Lyapunov */
751125367 2016-11-23T14:50:34Z 129.215.104.198 In the example, replaced |x| by x^2 so that the derivative exists and is continuous
751125104 2016-11-23T14:48:20Z 129.215.104.198 Clarified definition
750744349 2016-11-21T16:00:44Z 36.226.112.215 /* Definition of a Lyapunov candidate function */
750744289 2016-11-21T16:00:19Z 36.226.112.215 /* Definition of a Lyapunov candidate function */
741428207 2016-09-27T12:42:35Z DumbBOT removing a protection template from a non-protected page ([[User:DumbBOT/Protection|info]])
740047759 2016-09-18T19:00:24Z Myrocarcassonne The adjective "many" is replaced with "certain"
740018117 2016-09-18T15:25:47Z Bender235 Undid revision 739940948 by [[Special:Contributions/Myrocarcassonne|Myrocarcassonne]] ([[User talk:Myrocarcassonne|talk]])
739940948 2016-09-18T02:02:10Z Myrocarcassonne Pp-protected expiration date is changed
739159301 2016-09-13T03:28:39Z Airplaneman Adding {{pp-protected}} ([[WP:TW|TW]])
739159298 2016-09-13T03:28:38Z Airplaneman Protected "[[Lyapunov function]]": Persistent [[WP:Disruptive editing|disruptive editing]] ([Edit=Require autoconfirmed or confirmed access] (expires 03:28, 27 September 2016 (UTC)))
739157996 2016-09-13T03:15:54Z 73.96.113.47 Undid revision 739157203 by [[Special:Contributions/24.146.193.10|24.146.193.10]] ([[User talk:24.146.193.10|talk]])
739157203 2016-09-13T03:07:24Z 24.146.193.10 Undid revision 739155928 by [[Special:Contributions/Bender235|Bender235]] ([[User talk:Bender235|talk]])
739155928 2016-09-13T02:53:19Z Bender235 Reverted edits by [[Special:Contribs/24.146.193.10|24.146.193.10]] ([[User talk:24.146.193.10|talk]]) to last version by Bender235
739154258 2016-09-13T02:37:27Z 24.146.193.10 Undid revision 739150896 by [[Special:Contributions/Bender235|Bender235]] ([[User talk:Bender235|talk]])
739150896 2016-09-13T02:07:38Z Bender235 Reverted edits by [[Special:Contribs/24.146.193.10|24.146.193.10]] ([[User talk:24.146.193.10|talk]]) to last version by Bender235
739148813 2016-09-13T01:49:25Z 24.146.193.10 Undid revision 739096637 by [[Special:Contributions/Bender235|Bender235]] ([[User talk:Bender235|talk]])
739061653 2016-09-12T15:35:52Z 24.146.193.10 Undid revision 738954016 by [[Special:Contributions/Bender235|Bender235]] ([[User talk:Bender235|talk]])
738954243 2016-09-11T23:59:25Z Bender235 /* References */
738954219 2016-09-11T23:59:09Z Bender235 /* References */
738954016 2016-09-11T23:57:24Z Bender235 removed content added by [[Special:Contributions/Myrocarcassonne|Myrocarcassonne]] as a precautionary measure; see [[Wikipedia talk:WikiProject Mathematics#Breakthrough on Lyapunov functions?]]
738602761 2016-09-09T23:46:51Z Michael Hardy
738602691 2016-09-09T23:46:10Z Michael Hardy
738586860 2016-09-09T21:28:42Z Bender235 /* Definition of a Lyapunov candidate function */
738586592 2016-09-09T21:26:48Z Bender235
730301860 2016-07-18T04:07:04Z BattyBot fixed citation template(s) to remove page from [[:Category:CS1 maint: Extra text]] & [[WP:AWB/GF|general fixes]] using [[Project:AWB|AWB]]
730061180 2016-07-16T13:42:11Z 128.237.214.157 /* Locally asymptotically stable equilibrium */typo
725678444 2016-06-17T05:30:47Z 210.107.219.9 /* Definition of a Lyapunov acandidate function */
725678300 2016-06-17T05:29:33Z 210.107.219.9 /* Definition of a Lyapunov candidate function */
722259689 2016-05-26T22:57:19Z Myrocarcassonne
719881771 2016-05-12T10:37:24Z 2001:700:300:401A:919B:9E55:2CF:CD2 /* Definition of a Lyapunov candidate function */
719881746 2016-05-12T10:37:08Z 2001:700:300:401A:919B:9E55:2CF:CD2 /* Definition of a Lyapunov candidate function */
719173124 2016-05-08T02:20:09Z Headbomb clean up, replaced: journal=arXiv:1403.5761 → journal= |arxiv=1403.5761 using [[Project:AWB|AWB]]
717493315 2016-04-28T01:43:22Z Myrocarcassonne
717474696 2016-04-27T22:55:43Z Myrocarcassonne
717305667 2016-04-26T22:35:56Z Myrocarcassonne
717174884 2016-04-26T04:54:25Z BG19bot [[WP:CHECKWIKI]] error fix for #16. Remove invisible Unicode characters. Do [[Wikipedia:GENFIXES|general fixes]] if a problem exists. -, replaced: → using [[Project:AWB|AWB]]
717158328 2016-04-26T02:16:29Z Myrocarcassonne
717145310 2016-04-26T00:28:39Z Myrocarcassonne
717144123 2016-04-26T00:19:21Z Myrocarcassonne
717143196 2016-04-26T00:10:50Z Myrocarcassonne
717140085 2016-04-25T23:38:30Z Myrocarcassonne The new results concerning the general method of constructing Lyapunov functions have been added.
715062296 2016-04-13T13:57:55Z 98.209.118.243 /* Example */
715062213 2016-04-13T13:57:17Z 98.209.118.243 /* Example */
715062026 2016-04-13T13:55:56Z 98.209.118.243 /* Example */
707366226 2016-02-28T12:45:01Z 188.253.66.34
707366187 2016-02-28T12:44:33Z 188.253.66.34
691054629 2015-11-17T10:22:48Z Jdcanfield /* top */ Stasis substituted for "equilibrium" in Section.
632393032 2014-11-04T08:26:53Z Bojeryd91 /* Example */ Added a sentence that notes that the same example illustrates a globally asymptotically stable equilibrium.
616841899 2014-07-13T23:20:48Z Weichei01 I think it must be zero at the point itself and not at the derivation.
613604926 2014-06-19T20:43:13Z 2.234.134.182 /* Definition of a Lyapunov candidate function */
607444338 2014-05-07T07:07:50Z Thuwrx10 Added some step in the equation to make it more easy to understand
605288118 2014-04-22T12:27:42Z BD2412 minor fixes, mostly [[Wikipedia:Disambiguation pages with links|disambig links]] using [[Project:AWB|AWB]]
602779787 2014-04-04T21:20:42Z 2602:306:CC7F:1090:F0D7:2FC:42FA:C831 /* Basic Lyapunov theorems for autonomous systems */
577932636 2013-10-20T04:10:55Z ChrisGualtieri General Fixes using [[Project:AWB|AWB]]
576473886 2013-10-09T18:17:37Z 200.10.229.166 /* References */
576473553 2013-10-09T18:15:44Z 200.10.229.166
565035929 2013-07-20T10:07:49Z Micjon singular to plural.
545749637 2013-03-20T19:02:15Z ToastyMallows /* Globally asymptotically stable equilibrium */ Adding link to orphaned article, Wikiproject Orphanage: [[WP:ORPHAN|You can help!]]
537710781 2013-02-11T14:40:40Z 129.104.29.1 /* References */ typo
530446025 2012-12-30T13:02:00Z Ptbotgourou r2.7.2) (Robot: Adding ar, es, fr, it, ja, ru, th, uk, zh
529821143 2012-12-26T11:56:58Z 119.82.126.162 /* External links */
529821069 2012-12-26T11:56:00Z 119.82.126.162 /* External links */
529821027 2012-12-26T11:55:10Z 119.82.126.162 /* Stable equilibrium */
529820956 2012-12-26T11:53:59Z 119.82.126.162 /* Stable equilibrium */
526269638 2012-12-04T01:56:45Z 61.167.60.243 /* Example */
512561361 2012-09-15T03:47:09Z YFdyh-bot r2.7.3) (Robot: Adding [[ar:دالة ليابونوف]]
510521497 2012-09-03T02:16:33Z Canavalia Google Scholar shows "Foster Lyapunov" is the standard term.
509207739 2012-08-26T07:17:16Z EleferenBot r2.7.3) (Robot: Adding [[ru:Функция Ляпунова]]
508942647 2012-08-24T14:57:35Z 93.146.214.151 /* Basic Lyapunov theorems for autonomous systems */
508942575 2012-08-24T14:57:04Z 93.146.214.151 /* Basic Lyapunov theorems for autonomous systems */
495157573 2012-05-30T17:04:03Z Giftlite /* Globally asymptotically stable equilibrium */ mv .
495157539 2012-05-30T17:03:42Z Giftlite /* Basic Lyapunov theorems for autonomous systems */ +.
495157480 2012-05-30T17:03:20Z Giftlite /* Definition of the equilibrium point of a system */ +2.
495157419 2012-05-30T17:02:56Z Giftlite /* Definition of a Lyapunov candidate function */ +.
487274537 2012-04-14T02:30:43Z 777sms
483573957 2012-03-23T19:23:24Z ZéroBot r2.7.1) (Robot: Adding [[uk:Функція Ляпунова]]; removing: [[tr:Lyapunov Fonksiyonu]]
473958576 2012-01-30T01:22:50Z 46.193.141.119 /* Stable equilibrium */
471496265 2012-01-15T14:27:06Z Takdogan
470234281 2012-01-08T10:11:23Z 62.47.42.27 Disambiguated: [[equilibrium]] → [[equilibrium point]]
468662559 2011-12-30T21:30:36Z Ego White Tray Disambiguated: [[quadratic]] → [[quadratic function]]; Help needed: [[Equilibrium]]
461494448 2011-11-19T22:29:21Z Rcowlagi Cleaned up introduction
461493227 2011-11-19T22:20:56Z Rcowlagi
461493086 2011-11-19T22:19:55Z Rcowlagi
461492973 2011-11-19T22:19:15Z Rcowlagi Cleaned up first two paras of introduction
460134857 2011-11-11T14:52:53Z Robosorne
457118525 2011-10-24T09:29:30Z 82.67.191.9 Undid revision 456810666 by [[Special:Contributions/121.52.145.148|121.52.145.148]] ([[User talk:121.52.145.148|talk]]) Vandalism
456810666 2011-10-22T10:57:17Z 121.52.145.148 /* Definition of the equilibrium point of a system */
421376953 2011-03-29T20:44:58Z 178.198.251.244 /* Definition of a Lyapunov candidate function */
418100323 2011-03-10T09:04:05Z Banaticus Reverted edits by [[Special:Contributions/220.227.100.61|220.227.100.61]] ([[User talk:220.227.100.61|talk]]) editing [[WP:Sandbox|tests]] or vandalism ([[WP:HG|HG]])
418100266 2011-03-10T09:03:19Z 220.227.100.61 /* Basic Lyapunov theorems for autonomous systems */
416787207 2011-03-02T20:08:13Z 134.193.146.50 /* Example */
416784648 2011-03-02T19:51:29Z 134.193.146.50 /* Example */
414826928 2011-02-19T19:31:17Z 18.111.118.196 Corrected introduction to note that Lyapunov functions do always exist for stable systems, and that there is an algorithm for finding them in the locally exponentially stable case
401240973 2010-12-08T12:40:34Z MystBot r2.6.4+) (robot Adding: [[ja:リアプノフ関数]]
391464797 2010-10-18T16:08:45Z FrescoBot Bot: links syntax and spacing
384685482 2010-09-14T00:07:07Z 24.211.233.251 removes the fractal image. that thing has to be the stupidest thing i've ever seen.
372467618 2010-07-08T21:37:06Z 195.137.43.173 Replaced nice with appealing
361725594 2010-05-12T18:23:19Z Agor153 /* External links */
340211085 2010-01-26T21:36:07Z 129.186.252.32 /* Globally asymptotically stable equilibrium */
326965850 2009-11-20T18:07:50Z Ptbotgourou robot Adding: [[fr:Fonction de Liapounov]]
322243297 2009-10-26T23:57:15Z 62.236.95.141
322234577 2009-10-26T23:10:50Z 62.236.95.141
322233152 2009-10-26T23:03:41Z 62.236.95.141 /* Example */
322110536 2009-10-26T10:56:33Z 62.236.95.141
322106850 2009-10-26T10:20:18Z 62.236.95.141 /* Definition of the equilibrium point of a system */
322106584 2009-10-26T10:18:04Z 152.16.16.75 rv to last edit by Rāga man
322106465 2009-10-26T10:16:48Z 62.236.95.141 /* Definition of the equilibrium point of a system */
322106436 2009-10-26T10:16:34Z 62.236.95.141 /* Definition of the equilibrium point of a system */
319564769 2009-10-13T04:42:56Z Rāga man Included link to Lyapunov exponents
314297224 2009-09-16T07:41:24Z Robbot robot Adding: [[zh:李亞普諾夫函數]]
279503888 2009-03-25T02:33:52Z 128.125.19.193 Removed book advertisement, as it's focus (stochastic systems) is much to narrow. In addition, it may be construed as an advertisement for the book: "Wikipedia is not ... an advertising platform"
272602857 2009-02-22T23:31:07Z Elagatis Spelling
257826495 2008-12-14T03:08:28Z Spmeyn /* References */
257826366 2008-12-14T03:07:28Z Spmeyn /* References */
257825537 2008-12-14T03:02:13Z Spmeyn /* References */
252092357 2008-11-16T03:59:27Z 66.30.10.175 Changed spelling for consistency w/ rest of article: Ljapunow --> Lyapunov in "Lyapunov fractal with the sequence AAAABBB"
242798231 2008-10-03T18:27:23Z Techman224 Reverted edits by [[Special:Contributions/199.195.109.19|199.195.109.19]] to last version by TXiKiBoT ([[WP:HG|HG]])
242798213 2008-10-03T18:27:17Z 199.195.109.19 [[WP:AES|←]]Replaced content with '[smouch.net/lol]'
229383873 2008-08-02T10:08:11Z TXiKiBoT robot Removing: [[de:Stabilitätstheorie]]
229349552 2008-08-02T03:42:15Z 190.55.13.52
213984008 2008-05-21T17:09:53Z Jiuguang Wang /* Basic Lyapunov theorems for autonomous systems */ rm bold
213982223 2008-05-21T17:00:53Z 141.211.4.124 /* Globally asymptotically stable equilibrium */
213980478 2008-05-21T16:52:07Z 141.211.4.124 /* Globally asymptotically stable equilibrium */
213980409 2008-05-21T16:51:49Z 141.211.4.124 /* Globally asymptotically stable equilibrium */
213976930 2008-05-21T16:34:39Z Jiuguang Wang rewrite
213976124 2008-05-21T16:30:47Z 141.211.4.124 /* Globally asymptotically stable equilibrium */
210654952 2008-05-06T20:57:04Z Jiuguang Wang /* References */
187541456 2008-01-28T20:39:45Z Sandrobt small corrections and add interwiki +it
182360621 2008-01-05T19:40:51Z Vonkje more particularly specified link to Fixed point (mathematics)
177225058 2007-12-11T15:43:08Z Spmeyn /* External links */
177224566 2007-12-11T15:40:35Z Spmeyn /* References */
177224461 2007-12-11T15:39:59Z Spmeyn /* References */
175949890 2007-12-05T16:52:14Z SmackBot Standard headings &/or gen fixes. using [[Project:AutoWikiBrowser|AWB]]
172333237 2007-11-18T19:43:25Z Arthena
168401713 2007-10-31T23:13:30Z Oli Filth Reverted 1 edit by [[Special:Contributions/74.74.140.119|74.74.140.119]] identified as [[WP:VAND|vandalism]] to last revision by [[User:CRGreathouse|CRGreathouse]]. using [[WP:TW|TW]]
168352875 2007-10-31T18:54:51Z 74.74.140.119
165321947 2007-10-18T02:02:26Z CRGreathouse cleanup
164396329 2007-10-14T00:30:52Z Jutta typo
153181242 2007-08-23T17:26:16Z 83.180.168.85 /* Definition of the equilibrium point of a system */
151173115 2007-08-14T14:13:23Z Oli Filth Reverted 2 edits by [[Special:Contributions/Mani excel|Mani excel]] to last revision by [[User:129.97.89.76|129.97.89.76]]; Linkspam. using [[WP:TWINKLE|TW]]
151163966 2007-08-14T13:16:05Z Mani excel /* External Links */
151160725 2007-08-14T12:53:00Z Mani excel /* External Links */
145947747 2007-07-20T16:38:37Z 129.97.89.76
145947563 2007-07-20T16:37:39Z 129.97.89.76 /* Globally asymptotically stable equiibrium */
145947373 2007-07-20T16:36:31Z 129.97.89.76 /* Definition of the equilibrium point of a system */
145947341 2007-07-20T16:36:18Z 129.97.89.76 /* Definition of a Lyapunov candidate function */
142487898 2007-07-04T16:59:13Z FredTschanz
142484460 2007-07-04T16:40:43Z FredTschanz
142484390 2007-07-04T16:40:22Z FredTschanz
135837577 2007-06-04T18:06:56Z Oolong I can only assume that it means there is no general method, as opposed to there being no method at all as a general rule...
125209153 2007-04-23T16:20:28Z 20.133.0.14
124479067 2007-04-20T22:40:27Z CmdrObot sp: a autonomous→an autonomous; unicodify
122421191 2007-04-13T05:10:58Z 131.252.229.61
122408685 2007-04-13T03:47:14Z 131.252.231.140
115427521 2007-03-15T22:58:55Z 83.7.249.152 /* Definition */
113096890 2007-03-06T17:20:29Z MathMartin extended introduction
113095544 2007-03-06T17:14:30Z MathMartin added == Lyapunov stability criteria ==, style
113092332 2007-03-06T17:00:40Z MathMartin rewrote introduction
113084346 2007-03-06T16:13:50Z MathMartin /* Definition */ clarified definition
66263012 2006-07-28T00:35:21Z 143.106.14.178 /* Definition */
57736635 2006-06-09T17:50:30Z Linas refine cat, use mathworld template
54443232 2006-05-22T00:39:59Z Equendil Disambiguation link repair - [[Wikipedia:Disambiguation pages with links|You can help!]]
51688163 2006-05-05T15:13:10Z Grafikm fr rvv
51542537 2006-05-04T16:25:37Z Gandalf61 rvv
43961536 2006-03-15T23:29:17Z MikeJ9919 Disambiguation link repair - [[Wikipedia:Disambiguation pages with links|You can help!]]
43950443 2006-03-15T21:53:26Z MikeJ9919 /* Definition */ Disambiguation link repair - [[Wikipedia:Disambiguation pages with links|You can help!]]
40521809 2006-02-21T04:41:29Z 136.159.212.46 /* Definition */
38942820 2006-02-09T18:01:29Z 69.209.223.230 /* Definition */
36500031 2006-01-24T14:01:44Z Saraedum /* Definition */
32035820 2005-12-20T00:35:24Z 66.30.13.201 /* Definition */
32035780 2005-12-20T00:35:06Z 66.30.13.201 /* Definition */
28459740 2005-11-16T01:21:01Z YurikBot robot Modifying: de
25301464 2005-10-11T20:29:21Z Pjacobi iw [[de:Ljapunow-Funktion]]
24555529 2005-10-02T12:19:52Z Silverfish Stub-sorting. [[Wikipedia:WikiProject Stub sorting|You can help!]]
22275366 2005-08-31T20:29:36Z Markw here Fixed spelling and clarified sentence structure.
22275025 2005-08-31T20:24:47Z Markw here
22015626 2005-08-28T07:42:52Z Blotwell more broken markup
22015542 2005-08-28T07:40:47Z Blotwell /* Definition */ fix markup
22015457 2005-08-28T07:38:44Z Blotwell consistentify spelling
22015340 2005-08-28T07:36:12Z Blotwell merge from [[Liapunov function]]
18857823 2005-07-15T01:40:56Z Oleg Alexandrov formatting
16214745 2005-05-13T02:47:51Z Saga City dab Wolfram
13639184 2005-03-26T22:37:59Z Oleg Alexandrov [[Category:Dynamical systems]]
11553163 2004-12-29T09:27:45Z Jag123 Change to math stub
8916487 2004-07-03T14:45:20Z MathKnight
4420306 2004-06-22T14:23:07Z 203.162.3.77
4220918 2004-02-06T02:06:52Z Alex S stub message
2313472 2003-12-08T01:07:33Z XJaM Named after
1899583 2003-11-19T11:20:14Z Charles Matthews Intro
1769906 2003-10-29T21:21:54Z Michael Hardy This article badly needs some specificity. I don't know enough to provide that; I've straightened out the language a bit.
1645084 2003-10-29T12:50:43Z 200.1.17.105