Finite-time and fixed-time observers design via implicit Lyapunov function

@article{LopezRamirez2016FinitetimeAF,
  title={Finite-time and fixed-time observers design via implicit Lyapunov function},
  author={Francisco Lopez-Ramirez and Andrei Polyakov and Denis V. Efimov and Wilfrid Perruquetti},
  journal={2016 European Control Conference (ECC)},
  year={2016},
  pages={289-294}
}
This paper deals with the problem of finite-time and fixed-time observation of linear multiple input multiple output (MIMO) control systems. The nonlinear dynamic observers, which guarantee convergence of the observer states to the original system state in a finite and a fixed (defined a priori) time, are studied. Algorithms for the observers parameters tuning are also developed. The theoretical results are illustrated by numerical examples. 

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