Files in this item



application/pdfSCHMIDT-THESIS-2016.pdf (256kB)
(no description provided)PDF


Title:Topological entropy bounds for switched linear systems with lie structure
Author(s):Schmidt, A. James
Advisor(s):Belabbas, Mohamed A
Contributor(s):Liberzon, Daniel
Department / Program:Electrical & Computer Eng
Discipline:Electrical & Computer Engr
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Switched Systems
Topological Entropy
Abstract:In this thesis, we provide an initial investigation into bounds for topological entropy of switched linear systems. Entropy measures, roughly, the information needed to describe the behavior of a system with finite precision on finite time horizons, in the limit. After working out entropy computations in detail for the scalar switched case, we review the linear time-invariant nonscalar case, and extend to the nonscalar switched case. We assume some commutation relations among the matrices of the switched system, namely solvability, define an “upper average time of activation” quantity and use it to provide an upper bound on the entropy of the switched system in terms of the eigenvalues of each subsystem.
Issue Date:2016-10-14
Rights Information:2016 by A. James Schmidt
Date Available in IDEALS:2017-03-01
Date Deposited:2016-12

This item appears in the following Collection(s)

Item Statistics