Topological entropy bounds for switched linear systems with lie structure

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.

Name thesis:degree_name

M.S.

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Electrical & Computer Engr

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2017

Author dc:creator

• Schmidt, A. James

Contributors dc:contributor

• Belabbas, Mohamed A.
• Liberzon, Daniel

• Switched Systems
• Topological Entropy

Statement dc:rights

• 2016 by A. James Schmidt

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/95430

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/95430