La place Transform

Laplace transforms

Objective:

To be able to solve problems using laplace transforms in MATLAB, characterize and analyze systems.


Matlab command reviews:

POLY Convert roots to polynomial.
POLY(A), when A is an N by N matrix, is a row vector with N+1 elements which are the coefficients of the characteristic polynomial, DET(lambda*EYE(SIZE(A)) - A) .

POLY(V), when V is a vector, is a vector whose elements are the coefficients of the polynomial whose roots are the elements of V . For vectors, ROOTS and POLY are inverse functions of each other, up to ordering, scaling, and roundoff error.

ROOTS Find polynomial roots.
ROOTS(C) computes the roots of the polynomial whose coefficients are the elements of the vector C. If C has N+1 components, the polynomial is C(1)*X^N + ... + C(N)*X + C(N+1).

RESIDUE Partial-fraction expansion (residues).
[R,P,K] = RESIDUE(B,A) finds the residues, poles and direct term of a partial fraction expansion of the ratio of two poly...