Controllable and uncontrollable varibales in linear equation
Answers
Controllability and Observability
Controllability and observability represent two major concepts of modern control
system theory. These concepts were introduced by R. Kalman in 1960. They can
be roughly defined as follows.
Controllability: In order to be able to do whatever we want with the given
dynamic system under control input, the system must be controllable.
Observability: In order to see what is going on inside the system under obser-
vation, the system must be observable.
In this lecture we show that the concepts of controllability and observability are
related to linear systems of algebraic equations. It is well known that a solvable
system of linear algebraic equations has a solution if and only if the rank of the
system matrix is full . Observability and controllability tests will be connected to
the rank tests of ceratin matrices: the controllability and observability matrices.
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