What is right and full Frobenius canonical form?

1. What is meant by canonical form?
2. What is canonical form with example?
3. What is canonical form in control system?
4. How many canonical forms are there and name them?

What is meant by canonical form?

A canonical form is an element of a set of representatives of equivalence classes of forms such that there is a function or procedure which projects every element of each equivalence class onto that one element, the canonical form of that equivalence class.

What is canonical form with example?

More generally, for a class of objects on which an equivalence relation is defined, a canonical form consists in the choice of a specific object in each class. For example: Jordan normal form is a canonical form for matrix similarity.

What is canonical form in control system?

Controllable canonical form is a minimal realization in which all model states are controllable. Like companion form and observable canonical form, it can be ill-conditioned for computation.

How many canonical forms are there and name them?

There are three major canonical forms that we will consider in this chapter : triangular, rational and Jordan.