UC知道各位大侠帮忙翻译下面一段话成中文吧，太急了，太感谢了！！！
来源：百度知道 编辑：UC知道 时间：2024/05/02 20:46:48
Note that since the distance from all the other members to a
free agent is greater than 6, there will not be any repulsion
force and the total force on this member will be a combined
effect of all the attraction imposed by all the other members.
We will show that this force is pointing toward the center -x
of the swarm, and therefore, the member is moving toward
it. Before stating this result more rigorously, we define the
error variable as e' = x' - -x, for each individual i = 1, . . . , M.
Lemma 2 Assume that a member i of the swarm described
by the model in Eq. ( I ) with an attractiodrepulsionfunction
g(.) as given in Eq. (2) is a free agent at time t and that its
distance to the center -x of the swarm is greater then 6, i.e.,
Ilei(t)ll = Ilx'(t) - -xll > S.
Then, at time t its motion is in a direction of decrease of
Ilei(t) 1) (i.e., toward the center 3).
Proof: From the definition of the cen
free agent is greater than 6, there will not be any repulsion
force and the total force on this member will be a combined
effect of all the attraction imposed by all the other members.
We will show that this force is pointing toward the center -x
of the swarm, and therefore, the member is moving toward
it. Before stating this result more rigorously, we define the
error variable as e' = x' - -x, for each individual i = 1, . . . , M.
Lemma 2 Assume that a member i of the swarm described
by the model in Eq. ( I ) with an attractiodrepulsionfunction
g(.) as given in Eq. (2) is a free agent at time t and that its
distance to the center -x of the swarm is greater then 6, i.e.,
Ilei(t)ll = Ilx'(t) - -xll > S.
Then, at time t its motion is in a direction of decrease of
Ilei(t) 1) (i.e., toward the center 3).
Proof: From the definition of the cen
注意，由于距离的所有其他成员一
免费代理大于6 ，将不会有任何斥力
部队和总兵力在此的会员将是一个结合
的影响，所有的吸引力所施加的所有其他成员。
我们将表明，这股力量是指向对中心- X的
该群，因此，会员是走向
它。之前，说明这个结果，更严格，我们界定
错误可变电子' = x ' -- X的，为每一个人= 1 ， 。 。 。 ，米。
引理2假定的成员，我所描述的群
由模型的情商。 （一）与一attractiodrepulsionfunction
克（ 。 ）为给在情商。 （ 2 ）是一个自由的代理人在时间t和其
距离该中心-第十群是更大的，然后6月，即
ilei （ t ）的当地雇员= ilx ' （ t ）的-- x ll>第
然后，在时间t的议案，是其在一个方向，减少了
ilei （吨） 1 ） （即，对中心3 ） 。
证明：从定义中心-第十群
我们有〜 〜 ！ ， = x兆焦耳- X的。减去mifrom双方我们
获得米
（十' -x值' ） =米（十' - -x ） =的旺角（3 ）
j = 1
然后，议案的会员，我可以派代表作为
（十' - 11 ） ，
米
= - amei + b口：进出口
j =我j ＃
如果对第一线，我们使用的定义函数g （ ） 。
在情商。 （ 2 ）增加了（十' -x值' ） = 0 ，和取代的价值
…的
注意到，自九= 0 ，我们有。 b = 2 。选择李雅普诺夫
功能候选人为会员我作为伏; = ieitei和
考虑到其衍生沿轨迹的会员我们
获得
（十' -x值j ）条从情商。 （ 3 ）关于第二个。
（ 4 ）
请注意， bexp （ -问与答） > 0对所有的x '的X J。因此，
佛罗里达州是位于
（ 5 ） <