Controllability and Observability of Second Order Descriptor Systems

@article{Losse2008ControllabilityAO,
  title={Controllability and Observability of Second Order Descriptor Systems},
  author={Philip Losse and Volker Mehrmann},
  journal={SIAM J. Control. Optim.},
  year={2008},
  volume={47},
  pages={1351-1379}
}
We analyze controllability and observability conditions for second order descriptor systems and show how the classical conditions for first order systems can be generalized to this case. We show that performing a classical transformation to first order form may destroy some controllability and observability properties. As an example, we demonstrate that the loss of impulse controllability in constrained multibody systems is due to the representation as a first order system. To avoid this… 

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