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Thesis

Chordal sparsity in control and optimization of large-scale systems

Abstract:

Many large-scale systems have inherent structures that can be exploited to facilitate their analysis and design. This thesis investigates how chordal graph properties can be used to develop scalable methods for solving three classes of problems: sparse semidefinite programs (SDPs), distributed control of networked systems, and sum-of-squares (SOS) programs. By exploiting the properties of chordal graphs and sparse positive semidefinite matrices, we present decomposition methods that are ab...

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Division:
MPLS
Department:
Engineering Science
Department:
University of Oxford
Role:
Author

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Department:
University of Oxford
Role:
Supervisor
Jason Hu Scholarship More from this funder
Clarendon Scholarship More from this funder
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Keywords:
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UUID:
uuid:dbf77067-15a0-446a-a909-f9d262e39821
Deposit date:
2019-04-06

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