Question

Consider the system x? = Ax + bu, y = cx, where A, b and c are as follows: A = [-42 148 82; -14 51 28; 6 -24 -13], b = [-2; 2; 4], c = [2 1 4]. (a) Compute the right and left e-vectors of A as well as the e-values (use Matlab). (b) Compute a basis for the controllable subspace, Q, in terms of the right e-vectors. (c) Compute a basis for the unobservable subspace, U, in terms of the right e-vectors. (d) Is the system BIBO stable? (e) Find the controllable and observable part of the system.

          Consider the system x? = Ax + bu, y = cx, where A, b and c are as follows:
A = [-42 148 82; -14 51 28; 6 -24 -13], b = [-2; 2; 4], c = [2 1 4].
(a) Compute the right and left e-vectors of A as well as the e-values (use Matlab).
(b) Compute a basis for the controllable subspace, Q, in terms of the right e-vectors.
(c) Compute a basis for the unobservable subspace, U, in terms of the right e-vectors.
(d) Is the system BIBO stable?
(e) Find the controllable and observable part of the system.

Consider the system x? = Ax + bu, y = cx, where A, b and c are as follows:
A = [-42 148 82; -14 51 28; 6 -24 -13], b = [-2; 2; 4], c = [2 1 4].
(a) Compute the right and left e-vectors of A as well as the e-values (use Matlab).
(b) Compute a basis for the controllable subspace, Q, in terms of the right e-vectors.
(c) Compute a basis for the unobservable subspace, U, in terms of the right e-vectors.
(d) Is the system BIBO stable?
(e) Find the controllable and observable part of the system.

Added by Shelly S.

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