2022/01/18 by Ma, Yaxing, Wang, Gengsheng, Yu, Huaiqiang · 2 citations
#93B52 #93D05 #93D15 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2201.06803
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.