Riesz basis property of a second-order hyperbolic system with collocated scalar input-output

作者：Guo, BZ^*; Luo, YH

来源：IEEE Transactions on Automatic Control, 2002, 47(4): 693-698.

DOI：10.1109/9.995052

• collocated input-output
• perturbation of linear operators
• Riesz basis
• second-order system

The closed-loop form of a second-order hyperbolic system with scalar collocated sensor/actuator is considered. The Riesz basis property of the system is verified for diagonal semigroups based on an abstract result of one rank perturbation of discrete-type operators in Hilbert spaces. A simplified proof for the abstract result is presented.

• 出版日期2002-4
• 单位南京理工大学; 中国科学院数学与系统科学研究院