Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected Over Directed Graphs
Anes Lazri, Mohamed Adlene Maghenem, Elena V. Panteley, Antonio Lorı́a · 2024
We analyze the solutions of networked heterogeneous nonlinear systems under diffusive consensus control. We assume that the individual systems are state strictly semi-passive and the closed-loop interconnected systems form a network with an underlying connected directed graph that contains a directed spanning tree. For these systems, we establish global uniform ultimate boundedness of the solutions. We provide an illustrative example involving a network of Stuart-Landau oscillators.