{"596554":{"#nid":"596554","#data":{"type":"event","title":"Ph.D. Proposal Oral Exam - Jesse Paul Varnell","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETitle:\u0026nbsp; \u003C\/strong\u003E\u003Cem\u003ESampling-based Methods for Computing Largest Tolerable Input Sets\u003C\/em\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003ECommittee:\u0026nbsp; \u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. F. Zhang, Advisor\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr, Malisoff, Co-Advisor\u0026nbsp; \u0026nbsp; \u0026nbsp; \u0026nbsp;\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Coogan, Chair\u003C\/p\u003E\r\n\r\n\u003Cp\u003EDr. Wardi\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003EAbstract: \u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003EThe objective of the proposed research is to develop an algorithm to compute largest tolerable input sets for continuous-time nonlinear systems. Tolerable input sets are closely related to the important concept of invariant sets, which are subsets of a system\u0026rsquo;s state space where trajectories can enter, but will never leave.\u0026nbsp; The largest set of inputs for which a set is invariant is called a largest tolerable input set, and they can be used to characterize the robustness of an invariant set.\u0026nbsp; The proposed algorithm will use a sampling-based technique that evaluates a system\u0026#39;s dynamics at points in the state space, and it requires little knowledge of other properties of the dynamics. This algorithm is a foundational tool that can be applied to a variety of problems and techniques involving systems with complicated dynamics that would be difficult to study with traditional analytical tools.\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Sampling-based Methods for Computing Largest Tolerable Input Sets"}],"uid":"28475","created_gmt":"2017-09-27 17:12:34","changed_gmt":"2017-09-27 17:12:34","author":"Daniela Staiculescu","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2017-10-03T11:00:00-04:00","event_time_end":"2017-10-03T13:00:00-04:00","event_time_end_last":"2017-10-03T13:00:00-04:00","gmt_time_start":"2017-10-03 15:00:00","gmt_time_end":"2017-10-03 17:00:00","gmt_time_end_last":"2017-10-03 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"434371","name":"ECE Ph.D. Proposal Oral Exams"}],"categories":[],"keywords":[{"id":"102851","name":"Phd proposal"},{"id":"1808","name":"graduate students"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"78771","name":"Public"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}