Containment Control Of Stochastic Dynamics Network Systems With Input Saturation

This paper investigates containment control of general linear multi-agent systems with input saturation on both fixed and random switching directed networks respectively, the corresponding conclusions are proved based on algebraic graph theory and Lyapunov control method. Firstly, containment control of multi-agent systems with input satura-tion and aperiodic intermittent communication is investigated on fixed directed topology. Under the assumptions that each agent is asymptotically null controllable with bounded controls and there exists at least one leader that has a directed path to each follower, low-gain state feedback aperiodic intermittent control protocol is designed according to the algebraic Riccati equation, siini-global containment control of multi-agent systems is proved theoretically if the communication duration is larger than a certain threshold. Secondly, containment control of multi-agent systems with input saturation is investi-gated on directed Markovian stochastic switching topology. Under the assumptions that each agent is asymptotically null controllable with bounded controls and there exists at least one leader that has a directed path to each follower in the union digraph, low-gain state feedback control protocol is designed according to the algebraic Riccati equation, simi-global containment control of multi-agent systems can be obtained in the asymp-totic unbiased mean square sense. Finally, numerical simulations are given to illustrate the theoretical results.