Intermittent semi-global containment control of descriptor multi-agent systems with input saturation

This paper studies intermittent semi-global containment control for continuous descriptor multi-agent systems (MASs) with input saturation under undirected communication topology. The premise of most of the existing work is based on continuous communication between agents, however, when the communication network between agents are disturbed or attacked, the agents can only communicate intermittently with their neighbors. In view of this, firstly, using the low gain method of parametric generalized algebraic Riccati equation (GARB), we propose a distributed aperiodic intermittent containment control strategy based on state feedback. Secondly, Using the generalized Lyapunov stability theorem, exponential stability theory and mathematical induction, the sufficient conditions for realizing intermittent semi-global containment control are obtained when the control rate of the descriptor MASs is larger than a fixed value. Lastly, numerical simulation is used to verify that the control strategy is correct.