03-01-2013, 04:50 PM
Lyapunov Second Method
1Lyapunov.ppt (Size: 1.24 MB / Downloads: 31)
Properties of quadratic form:
Linear transform does not change the symmetric property and rank of their matrices.
Any quadratic form can be translated into standard form via a non-singular linear transform.
Standard form is not unique, it depends on the non-singular linear transform.
Let be real and symmetric, there exists orthogonal matrix such that