Hierarchical distributed design of stabilizing controllers for an evolving network system

In this paper, we propose a hierarchical distributed design method of stabilizing controllers for an evolving network system where a part of the network system changes as installing a new dynamical system, which is called an evolving component. First, supposing that the dimension of the evolving network system is low enough to make the existing controller design methods applicable, we propose a design method of a stabilizing controller such that the whole evolving network system is kept to be stable as long as the evolving component does not spoil the local stability of the part of the evolving network system. Next, on the basis of this controller design, we propose a hierarchical distributed design method of stabilizing controllers for a large-scale evolving network system. The main idea of the hierarchical distributed design is to apply the proposed distributed design to evolving components that are hierarchically decomposed, thereby realizing a scalable handling of large-scale evolving network systems. Finally, we demonstrate the proposed method through an example of evolving power systems.