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A Small-Gain Theorem for Almost Global Convergence of Monotone Systems

Abstract
A small-gain theorem is presented for almost global stability of monotone control systems which are open-loop almost globally stable, when constant inputs are applied. The theorem assumes "negative feedback" interconnections. This typically destroys the monotonicity of the original flow and potentially destabilizes the resulting closed-loop system.

Publication details
Download http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.5503
Source http://www.math.rutgers.edu/~sontag/FTP_DIR/angeli-leenheer-sontag-almost-small-gain-5may03.pdf
Contributors CiteSeerX
Repository CiteSeerX - Scientific Literature Digital Library and Search Engine (United States)
Type text
Language English
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