{"667737":{"#nid":"667737","#data":{"type":"event","title":"PhD Proposal by Manuel Lanchares","body":[{"value":"\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003E\u003Cspan\u003E\u003Cspan\u003EManuel Lanchares\u003C\/span\u003E\u003C\/span\u003E\u003C\/strong\u003E\u003Cbr \/\u003E\r\n\u003Cem\u003E\u003Cspan\u003E\u003Cspan\u003EAdvisor: Prof. Wassim M. Haddad\u003C\/span\u003E\u003C\/span\u003E\u003C\/em\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cem\u003E\u003Cspan\u003E\u003Cspan\u003Ewill propose a doctoral thesis entitled,\u003C\/span\u003E\u003C\/span\u003E\u003C\/em\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003E\u003Cspan\u003E\u003Cspan\u003EStochastic Nonlinear Discrete-Time and Hybrid Control:\u003Cbr \/\u003E\r\nStability, Dissipativity, and Optimality\u003C\/span\u003E\u003C\/span\u003E\u003C\/strong\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cem\u003EOn\u003C\/em\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003EThursday, May 25 at 12:00 p.m.\u003Cbr \/\u003E\r\nMontgomery Knight Building 317\u003C\/strong\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003E\u003Cspan\u003E\u003Cspan\u003EAbstract\u003C\/span\u003E\u003C\/span\u003E\u003C\/strong\u003E\u003Cbr \/\u003E\r\nIn this research, we develop dissipativity theory and optimal control for stochastic dynamical systems. In particular, we address the problem of stochastic dissipativity for both continuous-time and discrete-time stochastic dynamical systems. We provide an equivalence between the sample path dependent energetic (i.e., supermartingale) and the power balance (i.e., algebraic) forms for characterizing stochastic dissipativity for continuous-time and discrete-time stochastic dynamical systems. For discrete-time systems, the results are then used to derive extended Kalman\u2013Yakubovich\u2013Popov conditions for characterizing stochastic dissipativity and losslessness in terms of the nonlinear system functions. Moreover, feedback interconnection stability in probability results are also developed. Next, we investigate the role of Lyapunov functions in evaluating nonlinear-nonquadratic cost functionals for nonlinear stochastic difference equations. Furthermore, a stochastic optimal control framework is developed by exploiting connections between stochastic Lyapunov theory and stochastic Bellman theory. Next, we derive stability margins for optimal and inverse optimal stochastic feedback regulators. Specifically, gain, sector, and disk margin guarantees are obtained for discrete-time nonlinear stochastic dynamical systems controlled by nonlinear optimal and inverse optimal controllers that minimize a nonlinear-nonquadratic performance criterion. Finally, we develop a nonlinear stochastic port-Hamiltonian system model characterized by energy conservation and entropy nonconservation laws that are consistent with statistical thermodynamic principles.\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003ECommittee\u003C\/strong\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n\r\n\u003Cul\u003E\r\n\t\u003Cli\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003EProf. Wassim M. Haddad \u2013 School of Aerospace Engineering (advisor)\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003EProf. Yongxin Chen \u2013 School of Aerospace Engineering\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/li\u003E\r\n\t\u003Cli\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003EProf. Kyriakos G. Vamvoudakis \u2013 School of Mechanical Engineering\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/li\u003E\r\n\u003C\/ul\u003E\r\n\r\n\u003Cp\u003E\u0026nbsp;\u003C\/p\u003E\r\n","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cspan\u003E\u003Cstrong\u003E\u003Cspan\u003E\u003Cspan\u003EStochastic Nonlinear Discrete-Time and Hybrid Control:\u003Cbr \/\u003E\r\nStability, Dissipativity, and Optimality\u003C\/span\u003E\u003C\/span\u003E\u003C\/strong\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/span\u003E\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":[{"value":"Stochastic Nonlinear Discrete-Time and Hybrid Control:  Stability, Dissipativity, and Optimality"}],"uid":"27707","created_gmt":"2023-05-12 16:58:19","changed_gmt":"2023-05-12 16:58:19","author":"Tatianna Richardson","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2023-05-25T12:00:02-04:00","event_time_end":"2023-05-25T14:00:00-04:00","event_time_end_last":"2023-05-25T14:00:00-04:00","gmt_time_start":"2023-05-25 16:00:02","gmt_time_end":"2023-05-25 18:00:00","gmt_time_end_last":"2023-05-25 18:00:00","rrule":null,"timezone":"America\/New_York"},"location":"Montgomery Knight Building 317","extras":[],"groups":[{"id":"221981","name":"Graduate Studies"}],"categories":[],"keywords":[{"id":"102851","name":"Phd proposal"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1788","name":"Other\/Miscellaneous"}],"invited_audience":[{"id":"177814","name":"Postdoc"},{"id":"78771","name":"Public"},{"id":"174045","name":"Graduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}