{"id":{"repo_id":"baylor","oai_identifier":"oai:baylor-ir.tdl.org:2104/5385"},"canonical_url":"https://search.dev.ndltd.org/etd/baylor/oai:baylor-ir.tdl.org:2104/5385","repository":{"repo_id":"baylor","name":"Baylor University","base_url":"https://baylor-ir.tdl.org/server/oai/request"},"display":{"title":"Stability of non-diagonalizable switched linear systems on time scales.","abstract":"This thesis investigates the stability of switched linear systems on time scales using Lyapunov stability theory. First, we focus on the most general case, nondiagonalizable systems with arbitrary switching. Subsequently, a constrained switching case is investigated. Several examples are given for both cases. Switched linear systems are often found wherever a dynamical system is coupled with supervisory control logic that can abruptly change the system&apos;s operating mode, such as in the transmission of a vehicle or on computer-controlled real-time networks. This coupling of a dynamical system with discrete logic is difficult to model on standard time domains, especially if the switching events are non-uniformly spaced. Time scales mathematics allows for these non-uniform time domains.","abstract_html":"This thesis investigates the stability of switched linear systems on time scales using Lyapunov stability theory. First, we focus on the most general case, nondiagonalizable systems with arbitrary switching. Subsequently, a constrained switching case is investigated. Several examples are given for both cases. Switched linear systems are often found wherever a dynamical system is coupled with supervisory control logic that can abruptly change the system&amp;apos;s operating mode, such as in the transmission of a vehicle or on computer-controlled real-time networks. This coupling of a dynamical system with discrete logic is difficult to model on standard time domains, especially if the switching events are non-uniformly spaced. Time scales mathematics allows for these non-uniform time domains.","abstract_has_math":false,"creators":["Miller, John E. (John Edward), 1984-"],"institution":"Baylor University.","degree_name":"M.S.E.C.E.","degree_level":"Masters","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Gravagne, Ian A."],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009-08","date_published":"2009-08","updated_at":"2026-07-24T01:08:23Z","subjects":["Linear systems.","Switching theory.","Lyapunov stability."],"languages":["en"],"rights":["Baylor University works are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 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Switched linear systems are often found wherever a dynamical system is coupled with supervisory control logic that can abruptly change the system&apos;s operating mode, such as in the transmission of a vehicle or on computer-controlled real-time networks. This coupling of a dynamical system with discrete logic is difficult to model on standard time domains, especially if the switching events are non-uniformly spaced. Time scales mathematics allows for these non-uniform time domains."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Stability of non-diagonalizable switched linear systems on time scales."]}]}],"canonical_facts":{"dc:contributor.advisor":["Gravagne, Ian A."],"dc:creator":["Miller, John E. (John Edward), 1984-"],"dc:date.accessioned":["2009-08-25T16:10:23Z"],"dc:date.available":["2009-08-25T16:10:23Z"],"dc:date.issued":["2009-08"],"dc:description.abstract":["This thesis investigates the stability of switched linear systems on time scales using Lyapunov stability theory. First, we focus on the most general case, nondiagonalizable systems with arbitrary switching. Subsequently, a constrained switching case is investigated. Several examples are given for both cases. Switched linear systems are often found wherever a dynamical system is coupled with supervisory control logic that can abruptly change the system&apos;s operating mode, such as in the transmission of a vehicle or on computer-controlled real-time networks. This coupling of a dynamical system with discrete logic is difficult to model on standard time domains, especially if the switching events are non-uniformly spaced. 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