A new stability condition for Networked Control System with time-varying delay based on delay uneven-partitioning approach

In recent years, the so-called Networked Control System is used widely. Although convenient, networks introduce several problems such as network delay, data loss. In this paper, aimed at a type of Networked Control System with time-varying delay, it divides the time area into m pieces of sections unevenly at first, designs each different Lyapunov-Krasovskii functional by using triple integral approach and free-weighting matrices approach , combines with integral inequality approach to tackle the derivative of Lyapunov-Krasovskii functional. Furthermore, a new sufficient stability condition for Networked Control System with time-varying delay is derived. Finally, numerical example is given to prove the result in this paper.