A remark on the converging-input converging-state property
Optimization and Control
2007-05-23 v1
Abstract
Suppose that an equilibrium is asymptotically stable when external inputs vanish. Then, every bounded trajectory which corresponds to a control which approaches zero and which lies in the domain of attraction of the unforced system, must also converge to the equilibrium. This "well-known" but hard-to-cite fact is proved and slightly generalized here.
Keywords
Cite
@article{arxiv.math/0205016,
title = {A remark on the converging-input converging-state property},
author = {Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0205016},
year = {2007}
}
Comments
See http://www.math.rutgers.edu/~sontag for related work