Structurally sound networks of control systems
Ji-Woong Lee · 2017
A broad class of networks of linear control systems are shown to be structurally sound in the sense that their information structure is quadratically invariant and they do not introduce structurally fixed modes. This class is characterized by a unit-delay assumption on communication and state update in the discrete-time domain, but otherwise covers all communication topologies. While quadratic invariance guarantees the convexity of the associated linear quadratic control problem, the absence of structurally fixed modes ensures the generic existence of stabilizing, decentralized control policies.