@inbook{c5b2dd8ca6ee44bcabf95f2e518e39f3,
title = "Riccati Design for Synchronization of Discrete-Time Systems",
abstract = "In this chapter, design methods are given for synchronization control of discrete-time multi-agent systems on directed communication graphs. The graph is assumed to have fixed topology and contain a spanning tree. The graph properties complicate the design of synchronization controllers due to the interplay between the eigenvalues of the graph Laplacian matrix and the required stabilizing gains. A method is given that decouples the design of the synchronizing feedback gains from the detailed graph properties. It is based on computation of the agent feedback gains using a local Riccati equation design. Conditions are given for synchronization based on the relation of the graph eigenvalues to a bounded circular region in the complex plane that depends on the agent dynamics and the Riccati solution. The notion of {\textquoteleft}synchronization region{\textquoteright} is used. Convergence to consensus and robustness properties are investigated. This chapter also investigates the design of distributed observers for identical agents using a local Riccati design. A cooperative observer design guaranteeing convergence of the estimates of all agents to their actual states is proposed. The notion of a convergence region for distributed observers on graphs is introduced.",
keywords = "Entropy",
author = "Lewis, \{Frank L.\} and Hongwei Zhang and Kristian Hengster-Movric and Abhijit Das",
note = "Publisher Copyright: {\textcopyright} 2014, Springer-Verlag London Limited.",
year = "2014",
doi = "10.1007/978-1-4471-5574-4\_4",
language = "英语",
series = "Communications and Control Engineering",
publisher = "Springer International Publishing",
number = "9781447155737",
pages = "107--140",
booktitle = "Communications and Control Engineering",
address = "瑞士",
edition = "9781447155737",
}