Motivated by these challenges, this talk covers three parts. First, I will address the problem of bipartite containment control over multileader directed signed networks. I will present a Lyapunov approach to analyze the exponential stability of the bipartite containment tracking problem and to calculate the explicit limit values of the agents.
Second, I will address constrained consensus problems for multi-agent networks over signed graphs. I will present a barrier-Lyapunov-function-based control law that guarantees inter-agent collision avoidance and connectivity maintenance, with two application scenarios: formation control of robot manipulators and satellites.
Lastly, I will present new results on synchronization in open multi-agent systems. In these systems, agents may join or leave over time, and interactions can appear, disappear, or change in sign or direction. Using the signed edge-based agreement protocol, I will present the Lyapunov equation-based characterization of signed edge Laplacians and establish the global asymptotic stability of the synchronization errors.
*The first two parts of this presentation are in collaboration with Ioannis Sarras, Antonio Loria, Elena Panteley, and Julien Marzat, with the second part also involving Bayu Jayawardhana. The last part is in collaboration with Angela Fontan and Dimos V. Dimarogonas.