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={B. Guo and Y. Luo},
  journal={Syst. Control. Lett.},
  year={2002},
  volume={46},
  pages={45-65}
}
  • B. Guo, Y. Luo
  • Published 2002
  • Computer Science, Mathematics
  • Syst. Control. Lett.
  • 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 finite dimensional inputs… CONTINUE READING

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