Finite-Time Stabilization of Linear Time-Varying Continuous Systems

@article{Garcia2009FiniteTimeSO,
  title={Finite-Time Stabilization of Linear Time-Varying Continuous Systems},
  author={Germain Garcia and Sophie Tarbouriech and Jacques Bernussou},
  journal={IEEE Transactions on Automatic Control},
  year={2009},
  volume={54},
  pages={364-369}
}
In this technical note, the problem of finite time stabilization of linear time-varying continuous systems is considered. Necessary and sufficient conditions, based upon the solution to some Lyapunov differential matrix equations, are proposed for particular cases of interest. From these conditions, the design of time-varying state feedback controller guaranteeing the finite time closed-loop stability is presented. Numerical experiments illustrate the potentialities of the approach. 
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