@inbook{6aaf8c6cf2114bd8a3e7619b0c00e933,
title = "Joint performance and controllability of networked systems",
abstract = "Controllability is a basic requirement for control of networked systems. This chapter presents a framework for joint input selection based on joint optimization of performance and controllability. Standard conditions for controllability are discussed, including matrix pencil, controllability Gramian, and graph-theoretic conditions. The main contribution of this chapter is a formulation of controllability conditions as matroid constraints, enabling joint optimization of performance and controllability as a submodular maximization problem with matroid constraints. A graph controllability index is given, which characterizes the largest controllable subgraph of the network, and its submodular structure is proved. Application of this approach to consensus networks is discussed.",
author = "Andrew Clark and Basel Alomair and Linda Bushnell and Radha Poovendran",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing Switzerland 2016.",
year = "2016",
doi = "10.1007/978-3-319-26977-1\_9",
language = "English",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9783319269757",
pages = "175--198",
booktitle = "Communications and Control Engineering",
edition = "9783319269757",
}