Controllability, Observability and Realizability
Inna N. Smith · 2005
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.