Bipartite Containment Control of Uncertain Dynamic Networks Based on Adaptive Internal Model Method

A distributed control law synthesized several effective tools which called adaptive compensators solve a containment control problem. Distinguish from many studies on tracking, the situation where external system information is not available to network nodes is considered in a multileader system under a structurally balanced topology, the designed compensator is used to estimate the adaptive state of the convex hull to each follower. Considering the special case of external system information, a novel adaptive internal model compensator is proposed to dispose of the system robustness problem. Moreover, a novel Sylvester equation is given without considering all closed-loop system information and present an algorithm for calculating adaptive solutions of Sylvester equations based on containment control.