Mathematics – Optimization and Control
Scientific paper
2002-05-02
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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