A note on finite-time and fixed-time stability.

Lu, Wenlian; Liu, Xiwei; Chen, Tianping · Neural Netw · 2016

other · Level V

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Abstract

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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