A remark on the converging-input converging-state property

19 February 2003

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control

Vol. 48 (2), 313-314
https://doi.org/10.1109/tac.2002.808490

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

CONTROL SYSTEMS
EXTRATERRESTRIAL MEASUREMENTS
H INFINITY CONTROL
CHEMICALS
ASYMPTOTIC STABILITY
JACOBIAN MATRICES
MATHEMATICS
STEADY-STATE
INSTRUCTION SETS

This publication has 2 references indexed in Scilit:

Remarks on stabilization and input-to-state stability
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2003
Smooth stabilization implies coprime factorization
IEEE Transactions on Automatic Control, 1989

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