{"544031":{"#nid":"544031","#data":{"type":"event","title":"Ph.D. Proposal Oral Exam - Aftab Ahmed","body":[{"value":"\u003Cp\u003E\u003Cstrong\u003ETitle:\u0026nbsp; \u003C\/strong\u003E\u003Cem\u003EInfinite Dimensional Nonlinear Systems with State-dependent Delays and State Suprema: Analysis, Observer Design and Applications\u003C\/em\u003E\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003ECommittee:\u0026nbsp; \u003C\/strong\u003E\u003C\/p\u003E\u003Cp\u003EDr. Verriest, Advisor\u003C\/p\u003E\u003Cp\u003EDr. Wardi, Chair\u003C\/p\u003E\u003Cp\u003EDr. Feron\u003C\/p\u003E\u003Cp\u003E\u003Cstrong\u003EAbstract: \u003C\/strong\u003EThe prime objective of this research is to investigate systems with state-dependent delays in a unified, well rounded, global and coherent framework from first principles. Such systems are inherently\u0026nbsp;nonlinear\u0026nbsp;and\u0026nbsp;infinite dimensional\u0026nbsp;in nature. The delay may either depend\u0026nbsp;explicitly\u0026nbsp;or\u0026nbsp;implicitly\u0026nbsp;on the state of the system. Our goal and contribution is four-fold. Firstly, to give an information structure i.e., to define the Cauchy problem and\u0026nbsp; characterize the state space for such systems. We use the framework of Banach function spaces with the topology of uniform convergence. In systems with time-varying and\/or state-dependent delays, causality plays a crucial role. Throughout the analysis and synthesis problems in this research, causality of the system is ensured. Secondly, we perform the inversion of the state-dependent delay i.e., we use the information on the delay and retrieve the state vector of the system. We use our newly established technique ofDelay Injection\u0026nbsp;to recover the state of the system and solve the observer design problem. Thirdly, we analyze and design controllers and observers for a special class of systems with state-dependent delays namely systems evolving with state suprema. We nail down the rich structure possessed by these systems and show that these systems can be expressed asMulti-Mode Multi-Dimensional (M3D)\u0026nbsp;systems. Fourthly, we investigate the spectrum of higher order linear time delay systems in the framework of matrix Lambert W functions and give some\u0026nbsp;counter examples\u0026nbsp;to show that the already existing well established literature suffers from some serious limitations. We support our theory with practical applications including estimator design for a subsonic rocket car for soft landing, nonlinear observer design for a turning process for high precision machining and temperature control of a tank with state-dependent delay; and analysis of gene expression.\u0026nbsp;\u003C\/p\u003E","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":"","field_summary_sentence":[{"value":"Infinite Dimensional Nonlinear Systems with State-dependent Delays and State Suprema: Analysis, Observer Design and Applications"}],"uid":"28475","created_gmt":"2016-06-11 10:15:27","changed_gmt":"2016-10-08 02:18:03","author":"Daniela Staiculescu","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2016-06-17T12:00:00-04:00","event_time_end":"2016-06-17T12:00:00-04:00","event_time_end_last":"2016-06-17T12:00:00-04:00","gmt_time_start":"2016-06-17 16:00:00","gmt_time_end":"2016-06-17 16:00:00","gmt_time_end_last":"2016-06-17 16:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"434371","name":"ECE Ph.D. Proposal Oral Exams"}],"categories":[],"keywords":[{"id":"1808","name":"graduate students"},{"id":"102851","name":"Phd proposal"}],"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":""}}}