Question

Matrix  Q is :

(a) Positive semi definite symmetric matrix

(b) Positive definite non-symmetric matrix

(c) Negative definite symmetric matrix

(d) Negative definite non-symmetric matrix

I have been asked this question in an interview.

This key question is from Optimal Control Problems topic in chapter Optimal Control Systems of Control Systems

Answer 1

The correct answer is (a) Positive semi definite symmetric matrix

The explanation: Matrix Q defines positive definite or non-definite symmetric matrix which is used in the performance index so as to give equal weightage to each element.