Dissipative consensus for two-time-scale semi-Markov jump multi-agent systems against false data injection attacks via a dynamic event-triggered scheme

Abstract

This paper investigates the dynamic event-triggered dissipative consensus for two-time-scale semi-Markov jump multi-agent systems with external disturbances and false data injection attacks. Two-time-scale semi-Markov jump models are established to describe the two-time-scale phenomenon and the abrupt change of system parameters. Moreover, a dynamic event-triggered scheme in which the threshold parameter can be adjusted appropriately with the state fluctuations is adopted to reduce unnecessary data transmission and make more rational use of limited network resources. Some sufficient conditions rely on the Lyapunov analysis method are developed to ensure the Q,S,R-dissipative consensus can be achieved. Eventually, a numerical example is presented to corroborate the effectiveness of the obtained theoretical results.