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# Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator

@article{Guo2002ControllabilityAS, title={Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator}, author={Bao-Zhu Guo and Yue-Hu Luo}, journal={Systems & Control Letters}, year={2002}, volume={46}, pages={45-65} }

- Published 2002 in Systems & Control Letters
DOI:10.1016/S0167-6911(01)00201-8

A second-order hyperbolic system with collocated sensor=actuator is considered. The semigroup generation is shown for the closed-loop system under the feedback of a generic unbounded observation operator. The equivalence between the exponential stability of the closed-loop system and exact controllability of the open-loop system is established in the general framework of well-posed linear systems. Finally, the conditions are weakened for the diagonal semigroups with 6nite dimensional inputs… CONTINUE READING

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