On node controllability and observability in complex dynamical networks

Abstract

We analyze in detail the subtle yet critical differences between the structural controllability and observability of the triplet $(A,B,C)$ in the two cases that this is viewed as a linear dynamical network of interconnected nodes or as a a single complex system. Investigating the controllability and observability properties of each single node when the network is not completely controllable and/or observable, we show that the first point of view requires the development of novel tools leading, ultimately, to a state space decomposition that is different from the one proposed in 1963 by R.E. Kalman for linear systems.

References in corpus (6)

• Exact Controllability of Complex Networks
• Realistic Control of Network Dynamics
• Control centrality and hierarchical structure in complex networks
• Spectrum of Controlling and Observing Complex Networks
• Energy Scaling of Targeted Optimal Control of Complex Networks
• Locally Optimal Control of Complex Networks