@article{Angeli:1999:10.1016/S0167-6911(99)00055-9,
author = {Angeli, D and Sontag, ED},
doi = {10.1016/S0167-6911(99)00055-9},
journal = {Systems and Control Letters},
pages = {209--217},
title = {Forward completeness, unboundedness observability, and their Lyapunov characterizations},
url = {http://dx.doi.org/10.1016/S0167-6911(99)00055-9},
volume = {38},
year = {1999}
}

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TY  - JOUR
AB  - 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 bound on reachable states in terms of energy-like estimates of inputs. © 1999 Elsevier Science B.V. All rights reserved.
AU  - Angeli,D
AU  - Sontag,ED
DO  - 10.1016/S0167-6911(99)00055-9
EP  - 217
PY  - 1999///
SN  - 0167-6911
SP  - 209
TI  - Forward completeness, unboundedness observability, and their Lyapunov characterizations
T2  - Systems and Control Letters
UR  - http://dx.doi.org/10.1016/S0167-6911(99)00055-9
VL  - 38
ER  - 

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