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Bush, Nathan A 2015-07-22T22:17:45Z 2015-07-22T22:17:45Z 2015-05 2015-04-27 This thesis aims to demonstrate the conditions under which a particular kind of ensemble control system is controllable. Previous studies on this topic have tended to make simplifying assumptions on the systems in view, and this paper attempts to remove some of those assumptions. Even in a non-linear ensemble system, it can be demonstrated that controllability is achievable under some circumstances. This controllability is limited, however, by the Hamiltonian preservation of area in the position-velocity plane. At the end of this thesis, some example systems will be simulated, demonstrating the concepts of the paper and showing that the controllability result is sound. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-07-22 without embargo terms The student, Nathan Bush, accepted the attached license on 2015-04-26 at 18:56. The student, Nathan Bush, submitted this Thesis for approval on 2015-04-26 at 19:02. This Thesis was approved for publication on 2015-04-27 at 17:09. DSpace SAF Submission Ingestion Package generated from Vireo submission #8112 on 2015-07-22 at 10:34:04 Made available in DSpace on 2015-07-22T22:17:45Z (GMT). No. of bitstreams: 3 BUSH-THESIS-2015.pdf: 264614 bytes, checksum: 6f1d6f4139cb3db2bd5dc3e71e3c9a39 (MD5) Bush_Nathan.tex: 30994 bytes, checksum: a7634d2fc5af4cb01ef2a045df542091 (MD5) LICENSE.txt: 4208 bytes, checksum: e976a64eefd3cba2146e82a2e574a634 (MD5) Previous issue date: 2015-04-27 application/pdf http://hdl.handle.net/2142/78500 en Copyright 2015 Nathan Bush Ensemble Control Systems Hamiltonian Ensemble control of Hamiltonian systems text text 2015-5 Electrical & Computer Eng Electrical & Computer Engr University of Illinois at Urbana-Champaign Thesis M.S.