论文标题
稳定线性无限维系统的反馈定律
Feedback law to stabilize linear infinite-dimensional systems
论文作者
论文摘要
我们设计了一项新的反馈定律，以稳定线性无限维控制系统，该系统在该系统中生成C0组，并且控制操作员无限。我们的反馈定律基于突变的Gramian操作员值函数的整合。在上述突变的Gramian操作员的结构中，我们利用[21，14]中的弱观察力不平等，并借用了用于在[11，23，24]中构建概括的Gramian操作员的想法。与大多数需要确切可控性的相关作品不同，我们仅假设上述弱的可观察性不平等等效于系统的稳定性。
We design a new feedback law to stabilize a linear infinite-dimensional control system, where the state operator generates a C0-group and the control operator is unbounded. Our feedback law is based on the integration of a mutated Gramian operator-valued function. In the structure of the aforementioned mutated Gramian operator, we utilize the weak observability inequality in [21, 14] and borrow some idea used to construct generalized Gramian operators in [11, 23, 24]. Unlike most related works where the exact controllability is required, we only assume the above-mentioned weak observability inequality which is equivalent to the stabilizability of the system.
