  This paper considers the problem of decentralized analysis and control
synthesis to verify and ensure properties like stability and dissipativity of a
large-scale networked system comprised of linear subsystems interconnected in
an arbitrary topology. In particular, we design systematic networked system
analysis and control synthesis processes that can be executed in a
decentralized manner at the subsystem level with minimal information sharing
among the subsystems. Compared to our most recent work on the same topic, we
consider a substantially more generalized problem setup in this paper and
develop decentralized processes to verify and ensure a broader range of
networked system properties. We show that for such decentralized processes:
optimizing the used subsystem indexing scheme can substantially reduce the
required inter-subsystem information-sharing sessions, and in some network
topologies, information sharing among only neighboring subsystems is sufficient
(distributed!). Moreover, the proposed networked system analysis and control
synthesis processes are compositional/resilient to subsystem removals, which
enable them to conveniently and efficiently handle situations where new
subsystems are being added/removed to/from an existing network. We also provide
significant insights into our decentralized approach so that it can be quickly
adopted to verify and ensure properties beyond the stability and dissipativity
of networked systems. Towards developing such decentralized techniques, we have
also derived new centralized solutions for dissipative observer and dynamic
output feedback controller design problems. Subsequently, we also specialize
all the derived results for discrete-time networked systems. We conclude this
paper by providing several simulation results demonstrating the proposed novel
decentralized analysis and control synthesis processes and dissipativity-based
results.
