A remark on the converging-input converging-state property

Details A remark on the converging-input converging-state property A remark on the converging-input converging-state property

2002-05-02

arxiv.org/abs/math/0205016v1

Mathematics

Optimization and Control

See http://www.math.rutgers.edu/~sontag for related work

Scientific paper

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.

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