Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Executive Committee 
 Postdocs 
 Visitors 
 Students 
 Research 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 P/T Colloquia 
 Archive 
 Ulam Scholar 
 
 Postdoc Nominations 
 Student Requests 
 Student Program 
 Visitor Requests 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Thursday, April 09, 2015
2:00 PM - 3:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Postdoc Seminar

Synthesizing robust networks for various engineering applications

Harsha Nagarajan
DSA-4/CNLS

In recent years, analyzing stability and robustness of complex networks with various practical applications has been a topic of interest. It stems from an open problem in system realization theory, where given a set of non-linear systems with bounded inputs, interconnecting them to obtain a desired output is of primary interest. We consider a simplified version of this problem, focusing on maximizing the robustness of networks for the following applications: a) Linear mechanical systems, b) Motion control problems related to vehicle localization with noisy measurements, and c) Rigid formation of UAV adhoc infrastructure networks with data congestion. We pose this network synthesis problem (NP-hard) as a Mixed Integer Semi-Definite Program and equivalently as a Fiedler vector based Mixed Integer Linear Program (MILP) to obtain optimal solutions and upper bounds for moderate sized problems. We also discuss some neighborhood search heuristics based on reduced search space methods to quickly obtain good feasible solutions for large scale problems.

Host: Jeffrey D. Hyman