Input-Output-to-State Stability

Details Input-Output-to-State Stability Input-Output-to-State Stability

1999-11-29

arxiv.org/abs/math/9911233v1

Mathematics

Optimization and Control

Many related papers can be found in: http://www.math.rutgers.edu/~sontag

Scientific paper

This work explores Lyapunov characterizations of the input-output-to-state stability (IOSS) property for nonlinear systems. The notion of IOSS is a natural generalization of the standard zero-detectability property used in the linear case. The main contribution of this work is to establish a complete equivalence between the input-output-to-state stability property and the existence of a certain type of smooth Lyapunov function. As corollaries, one shows the existence of ``norm-estimators'', and obtains characterizations of nonlinear detectability in terms of relative stability and of finite-energy estimates.

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