Input-Output-to-State Stability

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

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Optimization and Control, 93D20;93C15;93B36

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http://salesiana.dossiersoluciones.com/handle/123456789/79505

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9911233
 http://arxiv.org/abs/math/9911233

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arXiv