Masters Theses

Keywords and Phrases

Lyapunov; Microgrid; Nonlinear systems; Practical stability; Smart grid; Switched systems


"Switched systems are encountered throughout many engineering disciplines, but confirming their stability is a challenging task. Even if each subsystem is asymptotically stable, certain switching sequences may exist that drive the overall system states into unacceptable regions. This thesis contains a process that grants stability under switching to switched systems with multiple operating points. The method linearizes a switched system about its distinct operating points, and employs multiple Lyapunov functions to produce modal dwell times that yield stability. This approach prioritizes practicality and is designed to be useful for large systems with many states and subsystems due to its ease of algorithmic implementation. Power applications are particularly targeted, and several examples are provided in the included papers that apply the technique to boost converters, electric machines, and smart grid architectures"--Abstract, page iv.


Kimball, Jonathan W.

Committee Member(s)

Acar, Levent
Ferdowsi, Mehdi


Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering


Missouri University of Science and Technology

Publication Date

Fall 2018

Journal article titles appearing in thesis/dissertation

  • Minimum dwell times for the stability of switched systems with multiple stable operating points
  • Practical dwell times for switched systems with multiple operating points for microgrid stability


x, 81 pages

Note about bibliography

Includes bibliographical references.


© 2018 William Roy St. Pierre, All rights reserved.

Document Type

Thesis - Open Access

File Type




Thesis Number

T 11444

Electronic OCLC #