Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.

• 首先得到了系统的逼近能控性;然后采用变分方法对系统线性化,再结合解映射的性质,应用推广的隐函数定理,证明系统的局部零能控性;最后给出系统零能控的结论。