Fault‐tolerant secure H∞$$ H\infty $$ synchronization for complex networks with semi‐Markov jump topology

Summary The article mainly studies the fault‐tolerant control of complex networks with semi‐Markov jump topology under hybrid attacks. First, the semi‐Markov process is imported to the topology change of sampled‐data complex networks. Second, by designing a strategy to resist mixed attacks, the system can remain stable even under mixed attacks. Then, some sufficient conditions have been established to guarantee performance through fault‐tolerant control mechanism even if it suffers from actuator failure. Finally, a numerical example and a practical example are used to prove the feasibility of the theory.