Quantized extended dissipative synchronization for semi-Markov switching Lur’e systems with time delay under deception attacks

This paper is dedicated to the quantized extended dissipative synchronization for time-delay Lur’e systems with semi-Markov jump parameters subject to deception attacks. Two types of dynamic quantizers are utilized to quantize the measurement output and the control input in the time-variant delay and time-invariant delay cases, respectively. By choosing a suitable Lyapunov–Krasovskii functional and applying several inequalities, a novel synchronization criterion is developed under which the resulting error system is stochastically stable and extended dissipative. Then, a joint design method is provided for the desired controller gain matrices and the dynamic quantizer parameters. Finally, the applicability of the designed approach is verified by three simulation examples.