時間範囲内のファイルの内容を削除する方法。 （パターンマッチングに基づいていません）

時間範囲に基づいてファイルの内容を削除しようとしています。これまで、私は次のパターンマッチングに基づいて試しました。

sed -i '/2018-03-09T13:53/,/2018-03-09T14:00/!d' LogAgentServer

ファイル（LogAgentServer）の内容は次のとおりです。

2018-03-09T13:52:04.429+0000: 64.870: [GC (Allocation Failure) [PSYoungGen: 195634K->4192K(240640K)] 305630K->155712K(940032K), 0.1015550 secs] [Times: user=0.18 sys=0.02, real=0.10 secs] 
2018-03-09T13:52:23.085+0000: 83.525: [GC (Allocation Failure) [PSYoungGen: 147552K->1600K(145408K)] 299072K->156324K(844800K), 0.0113755 secs] [Times: user=0.01 sys=0.00, real=0.01 secs] 
2018-03-09T13:52:36.438+0000: 96.879: [GC (Allocation Failure) [PSYoungGen: 144960K->1376K(238080K)] 299684K->156488K(937472K), 0.0085403 secs] [Times: user=0.01 sys=0.00, real=0.01 secs] 
2018-03-09T13:52:47.174+0000: 107.615: [GC (Allocation Failure) [PSYoungGen: 132448K->1344K(132608K)] 287560K->156544K(832000K), 0.0067113 secs] [Times: user=0.02 sys=0.00, real=0.00 secs] 
2018-03-09T13:52:58.583+0000: 119.023: [GC (Allocation Failure) [PSYoungGen: 132416K->1248K(240128K)] 287616K->156552K(939520K), 0.0072957 secs] [Times: user=0.01 sys=0.00, real=0.01 secs] 
2018-03-09T13:53:13.075+0000: 133.516: [GC (Allocation Failure) [PSYoungGen: 131808K->1248K(239616K)] 287112K->156624K(939008K), 0.0142212 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:53:30.405+0000: 150.845: [GC (Allocation Failure) [PSYoungGen: 131808K->1792K(243712K)] 287184K->157248K(943104K), 0.0092942 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:53:43.380+0000: 163.820: [GC (Allocation Failure) [PSYoungGen: 137984K->4320K(241664K)] 293440K->160512K(941056K), 0.0141034 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:53:57.422+0000: 177.863: [GC (Allocation Failure) [PSYoungGen: 140512K->4512K(250880K)] 296704K->163920K(950272K), 0.0190071 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:55:07.187+0000: 247.627: [GC (Allocation Failure) [PSYoungGen: 153504K->3552K(247296K)] 312912K->166176K(946688K), 0.0113494 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:55:49.734+0000: 290.174: [GC (Allocation Failure) [PSYoungGen: 152544K->4256K(259072K)] 315168K->169024K(958464K), 0.0137216 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:56:24.438+0000: 324.878: [GC (Allocation Failure) [PSYoungGen: 169120K->4896K(254976K)] 333888K->172440K(954368K), 0.0231447 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:57:17.868+0000: 378.308: [GC (Allocation Failure) [PSYoungGen: 169760K->4880K(267264K)] 337304K->175953K(966656K), 0.0197401 secs] [Times: user=0.03 sys=0.00, real=0.02 secs] 
2018-03-09T13:58:38.692+0000: 459.133: [GC (Allocation Failure) [PSYoungGen: 186128K->5216K(263168K)] 357201K->179796K(962560K), 0.0123329 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:59:51.920+0000: 532.361: [GC (Allocation Failure) [PSYoungGen: 186464K->5312K(275968K)] 361044K->184116K(975360K), 0.0134409 secs] [Times: user=0.03 sys=0.01, real=0.02 secs] 
2018-03-09T14:01:03.648+0000: 604.088: [GC (Allocation Failure) [PSYoungGen: 204352K->4832K(284160K)] 387421K->192292K(983552K), 0.0129953 secs] [Times: user=0.02 sys=0.01, real=0.01 secs] 
2018-03-09T14:01:30.629+0000: 631.069: [GC (Allocation Failure) [PSYoungGen: 219872K->5088K(280064K)] 407332K->196181K(979456K), 0.0104791 secs] [Times: user=0.03 sys=0.00, real=0.01 secs] 

しかし、このコマンドの問題は、上記の時間範囲のエントリがないと機能しないことです。したがって、時間範囲比較を使用してこれを達成するにはどうすればよいですか？
このように：

sed -i '/2018-03-09T13:54/,/2018-03-09T14:00/!d' LogAgentServer

次の結果を提供する必要があります。

2018-03-09T13:55:07.187+0000: 247.627: [GC (Allocation Failure) [PSYoungGen: 153504K->3552K(247296K)] 312912K->166176K(946688K), 0.0113494 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:55:49.734+0000: 290.174: [GC (Allocation Failure) [PSYoungGen: 152544K->4256K(259072K)] 315168K->169024K(958464K), 0.0137216 secs] [Times: user=0.02 sys=0.00, real=0.01 secs] 
2018-03-09T13:56:24.438+0000: 324.878: [GC (Allocation Failure) [PSYoungGen: 169120K->4896K(254976K)] 333888K->172440K(954368K), 0.0231447 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:57:17.868+0000: 378.308: [GC (Allocation Failure) [PSYoungGen: 169760K->4880K(267264K)] 337304K->175953K(966656K), 0.0197401 secs] [Times: user=0.03 sys=0.00, real=0.02 secs] 
2018-03-09T13:58:38.692+0000: 459.133: [GC (Allocation Failure) [PSYoungGen: 186128K->5216K(263168K)] 357201K->179796K(962560K), 0.0123329 secs] [Times: user=0.02 sys=0.00, real=0.02 secs] 
2018-03-09T13:59:51.920+0000: 532.361: [GC (Allocation Failure) [PSYoungGen: 186464K->5312K(275968K)] 361044K->184116K(975360K), 0.0134409 secs] [Times: user=0.03 sys=0.01, real=0.02 secs]