Dissertation
New paradigms for design and control of dynamical networks
Washington State University
Doctor of Philosophy (PhD), Washington State University
05/2009
DOI:
https://doi.org/10.7273/000005806
Abstract
My Ph. D. research is focused on devising novel paradigms for the design and control problems in dynamical networks that arise in various infrastructure- and agent- network applications. While network structure is ubiquitous in many modern systems and so network dynamics have been systematically analyzed, works on design and control of networks (i.e., shaping the dynamics of a network through applying static/dynamic feedback controllers) are sparse. Despite the lack of works in network design and control, solutions in this field are badly needed in many network applications such as traffic management, epidemic control, and sensor/vehicle networking. In this research, we provide systematic solutions to design and control problems that are common to many dynamical network applications. To develop these solutions, we are engaged in effort in two major aspects: 1) modeling and identifying design and control problems in network applications; 2) developing novel tools for network design and control. In the development, our philosophy is that network design and control must exploit network structure to be effective, due to the significant role played by networks' structures in their dynamics. With this philosophy in mind, we have systematically addressed multiple important and typical network design and control tasks, including designing (static) network node properties and edge properties (at all or a subset of the nodes/edges), and also designing decentralized dynamical controllers, to meet eigenvalue-related performance requirements. We have also addressed novel controller design for networks that are present to constraints such as input saturation and delays. Part of the work is concerned with studies that support the above development of network design and control methods. We provide some interesting results on infinite-dimensional systems, stabilization of systems with saturation, and the maneuvering of system zeros. Moreover, we have also addressed network-related numerical tasks, such as distributed network partitioning and effective network simulation.
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Details
- Title
- New paradigms for design and control of dynamical networks
- Creators
- Yan Wan
- Contributors
- Sandip Roy (Chair)Ali Saberi (Committee Member) - Washington State University, School of Electrical Engineering and Computer ScienceANTON A STOORVOGEL (Committee Member)Bernard Lesieutre (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- School of Electrical Engineering and Computer Science
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Publisher
- Washington State University
- Number of pages
- 482
- Identifiers
- 99901055140501842
- Language
- English
- Resource Type
- Dissertation