Semi-global finite-time observers for nonlinear systems

@article{Shen2008SemiglobalFO,
  title={Semi-global finite-time observers for nonlinear systems},
  author={Yanjun Shen and Xiaohua Xia},
  journal={Automatica},
  year={2008},
  volume={44},
  pages={3152-3156}
}
It is well known that high gain observers exist for single output nonlinear systems that are uniformly observable and globally Lipschitzian. Under the same conditions, we show that these systems admit semi-global and finite-time converging observers. This is achieved with a derivation of a new sufficient condition for local finite-time stability, in conjunction with applications of geometric homogeneity and Lyapunov theories. © 2008 Elsevier Ltd. All rights reserved. 

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