ADMISSIBILITY OF THE OBSERVATION OPERATORS FOR VOLTERRA SYSTEMS WITH EXPONENTIAL KERNELS

作者：Chen, Jian-Hua^*

来源：SIAM Journal on Control and Optimization, 2016, 54(2): 587-601.

DOI：10.1137/151003611

• Volterra equation
• operator semigroup
• resolvent
• admissibility
• exponential memory kernel

We study admissibility of the observation operators for Volterra systems in Hilbert spaces with exponentially decaying kernels. Sufficient conditions for infinite-time admissibility of the observation operators are established and some illustrating examples are given.

• 出版日期2016
• 单位湖南科技大学