Structure Preserving Model Reduction in LTI Networks with Applications to Robust Network Reconstruction

Authors

Enoch Yeung, Brigham Young University
Dr. Sean Warnick, Brigham Young University

Keywords

LTI networks, network reconstruction, model reduction

College

Physical and Mathematical Sciences

Department

Computer Science

Abstract

The purpose of this project was to investigate systematic methods for finding simplified representations that accurately model the structure and input-output dynamics of high dimensional nonlinear time-invariant systems near equilibrium points. As background, the dynamics of nonlinear time-invariant systems near their equilibrium points can be approximated using linearized state-space systems. As long as the trajectory of the nonlinear system remains close enough to the equilibrium, a linearized system can be a convenient way of analyzing the input-output dynamics and structure of the nonlinear system.

Recommended Citation

Yeung, Enoch and Warnick, Dr. Sean (2013) "Structure Preserving Model Reduction in LTI Networks with Applications to Robust Network Reconstruction," Journal of Undergraduate Research: Vol. 2013: Iss. 1, Article 2663.
Available at: https://scholarsarchive.byu.edu/jur/vol2013/iss1/2663