Mathematics – Optimization and Control
Scientific paper
1999-02-03
Mathematics
Optimization and Control
24 pages See http://www.math.rutgers.edu/~sontag/ for many related papers
Scientific paper
This paper presents necessary and sufficient characterizations of several notions of input to output stability. Similar Lyapunov characterizations have been found to play a key role in the analysis of the input to state stability property, and the results given here extend their validity to the case when the output, but not necessarily the entire internal state, is being regulated. The work is related to partial stability of differential equations (the particular case which arises when there are no external inputs).
Sontag Eduardo D.
Wang Yadong
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