Controllability, Observability and Realizability

In this research project, we analyze three important concepts of the control theory, including controllability, observability and realizability. In particular, we analyze the theory of and solutions to linear time systems, continuous and discrete time systems, time-varying systems, and first-order matrix Sylvester systems. Examples and sample computed calculations are provided for both uncontrolled and controlled systems. We also develop a new method for computing the approximate values of matrix exponentials, and use this to estimate solutions to initial value problems.

Name thesis:degree_name

Master of Science in Mathematics (M.S.)

Level thesis:degree_level

Thesis (open access)

Discipline thesis:degree_discipline

Department of Mathematical Sciences

Year dc:date.available

2005

Author dc:creator

• Smith, Inna N.

Contributors dc:contributor

• Scott N. Kersey
• Yan Wu

• ETD
• Control theory
• Controllability
• Observability
• Realizability
• Duality
• Transfer function
• Matrix exponential function
• Fundamental matrix solution
• Sylvester systems
• Functional analysis
• Operator theory

Repository record dc:identifier

https://digitalcommons.georgiasouthern.edu/etd/686

OAI identifier oai:identifier

oai:digitalcommons.georgiasouthern.edu:etd-1686