In this section
@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}
}
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 -