{"583538":{"#nid":"583538","#data":{"type":"event","title":"DCL Presents: Prof. Efstathios Bakolas","body":[{"value":"\u003Cp\u003EYou are invited to hear\u003C\/p\u003E\r\n\r\n\u003Ch1\u003E\u003Cstrong\u003EProf. Efstathios Bakolas\u003C\/strong\u003E\u003C\/h1\u003E\r\n\r\n\u003Cp\u003Egive a lecture\u003C\/p\u003E\r\n\r\n\u003Ch1\u003E\u003Cem\u003EControl and Partitioning Algorithms for Microscopic and Macroscopic Modeling Abstractions of Multi-Agent Networks \u003C\/em\u003E\u003C\/h1\u003E\r\n\r\n\u003Cp\u003E\u003Cstrong\u003E\u003Cem\u003Eon Friday, November 11 at 11 a.m.\u003C\/em\u003E\u003Cbr \/\u003E\r\nMontgomery Knight 317\u003C\/strong\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003E\u003Cem\u003E\u003Cstrong\u003EAbout this talk\u003C\/strong\u003E\u003C\/em\u003E\u003C\/p\u003E\r\n\r\n\u003Cp\u003EIn the first part of this talk I will present distributed algorithms for partitioning and locational optimization problems involving networks of agents with planar rigid body dynamics in the presence of communication constraints. First, I will discuss a solution technique for the computation of a Voronoi-like partition of a three-dimensional non-flat manifold embedded in a six-dimensional state space based on a proximity metric that is a non-quadratic function. The proposed approach is based on a special embedding technique with which the original partitioning problem is associated with a one-parameter family of partitioning problems, whose domains are two-dimensional flat sub-manifolds of the original three-dimensional manifold and their proximity metrics are (parametric) quadratic functions. In contrast with the original problem, the parametric problems have a special structure that allows one to solve them by means of exact and finite steps algorithms. Subsequently, I will utilize the proposed class of Voronoi-like partitions to develop distributed locational optimization algorithms, which are based on a \u0026ldquo;divide and conquer\u0026rsquo;\u0026rsquo; philosophy.\u003C\/p\u003E\r\n\r\n\u003Cp\u003EIn the second part of the talk, I will present control algorithms that are intended to steer the macroscopic state of a multi-agent network, when the latter is described in terms of a probability distribution, to a goal state\/distribution. I will focus on finite-horizon distribution steering problems for discrete-time stochastic linear systems with either complete or incomplete state information using a stochastic optimal control framework. I will show that in the special case in which the marginal distributions are multi-variate Gaussian distributions, the stochastic optimal control problem can be essentially reduced to a finite-dimensional, deterministic nonlinear program, whose only obstruction from being a convex program is the non-convexity of a terminal equality constraint imposed on the state covariance. Subsequently, I will show that the nonlinear program can be associated, via a simple convex relaxation technique, with a convex program which can be addressed by means of robust and efficient algorithms.\u003C\/p\u003E\r\n","summary":null,"format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EThe Decision and Control Lab and Prof. \u003Cstrong\u003EPanagiotis Tsiotras\u003C\/strong\u003E are proud to present Prof. \u003Cstrong\u003EEfstathios Bakolas\u0026nbsp;\u003C\/strong\u003E who will give a talk entitled \u0026quot;Control and Partitioning Algorithms for Microscopic and Macroscopic Modeling Abstractions of Multi-Agent Networks\u0026quot;\u003C\/p\u003E\r\n","format":"limited_html"}],"field_summary_sentence":[{"value":"Efstathios Bakolas will give a talk entitled \u0022Control and Partitioning Algorithms for Microscopic and Macroscopic Modeling Abstractions of Multi-Agent Networks"}],"uid":"27836","created_gmt":"2016-11-04 16:34:43","changed_gmt":"2017-04-13 21:14:04","author":"Kathleen Moore","boilerplate_text":"","field_publication":"","field_article_url":"","field_event_time":{"event_time_start":"2016-11-11T11:00:00-05:00","event_time_end":"2016-11-11T12:00:00-05:00","event_time_end_last":"2016-11-11T12:00:00-05:00","gmt_time_start":"2016-11-11 16:00:00","gmt_time_end":"2016-11-11 17:00:00","gmt_time_end_last":"2016-11-11 17:00:00","rrule":null,"timezone":"America\/New_York"},"extras":[],"groups":[{"id":"1239","name":"School of Aerospace Engineering"}],"categories":[],"keywords":[{"id":"168731","name":"Control Theory"},{"id":"172668","name":"Algorithms for Microscopic and Macroscopic Modeling"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[{"id":"1795","name":"Seminar\/Lecture\/Colloquium"}],"invited_audience":[{"id":"78761","name":"Faculty\/Staff"},{"id":"78771","name":"Public"},{"id":"78751","name":"Undergraduate students"},{"id":"174045","name":"Graduate students"}],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[],"email":[],"slides":[],"orientation":[],"userdata":""}}}