A note on finite-time and fixed-time stability

@article{Lu2016ANO,
  title={A note on finite-time and fixed-time stability},
  author={Wenlian Lu and Xiwei Liu and Tianping Chen},
  journal={Neural networks : the official journal of the International Neural Network Society},
  year={2016},
  volume={81},
  pages={
          11-5
        }
}
In this letter, by discussing ṫ(V)=μ(-1)(V), we provide a general approach to reveal the essence of finite-time stability and fixed-time convergence for the system V̇(t)=μ(V(t)). Thus, we derive some conditions for finite-time and fixed-time convergence. As applications, we propose schemes to achieve finite-time and fixed-time synchronization in complex networked systems. 
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