Event/Activity Calendars

Upcoming Hudson Colloquia
January 19, 2011

Yan Wu, Associate Professor Department of Mathematical Sciences at Georgia Southern University

Controllability and Observability of Sylvester Differential Algebraic Equations

Abstract

Differential Algebraic Equations (DAEs) arise naturally as governing equations for systems in chemical, electrical, and mechanical engineering as well as biological and economic models. Therefore, the analysis of DAEs plays an important role in applied mathematics. An overview of DAEs is provided in this talk, followed by our latest results on the first-order Sylvester type of differential algebraic systems with input and output structures incorporated in the system. We first present a closed form representation for the general solution of matrix Sylvester DAEs in terms of the fundamental matrix solutions of one-sided subsystems. The result is then used to derive a set of necessary and sufficient conditions for the complete controllability and complete observability of the Sylvester systems. Most background materials will be introduced in the presentation, and this talk is accessible to students.

Previous Hudson Colloquia

March 3, 2010
Differential Galois Theory-Dr. Sabrina Hessinger

March 24, 2010
Results of the 2009 Putnam Competition-2009 AASU Putnam Team

April 7, 2010
TBA-Dr. Josh Lambert

April 21, 2010
TBA-Dr. Sungkon Chang