Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations

@inproceedings{Angeli1999ForwardCU,
  title={Forward Completeness, Unboundedness Observability, and their Lyapunov Characterizations},
  author={David Angeli and Eduardo D. Sontag},
  year={1999}
}
A finite-dimensional continuous-time system is forward complete if solutions exist globally, for positive time. This paper shows that forward completeness can be characterized in a necessary and sufficient manner by means of smooth scalar growth inequalities. Moreover, a version of this fact is also proved for systems with inputs, and a generalization is also provided for systems with outputs and a notion (unboundedness observability) of relative completeness. We apply these results to obtain a… CONTINUE READING

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