Question

Matrix R is                                                                               :

(a) Positive semi definite symmetric matrix

(b) Positive definite non-symmetric matrix

(c) Negative definite symmetric matrix

(d) Negative definite non-symmetric matrix

The question was asked by my college professor while I was bunking the class.

My doubt stems from Optimal Control Problems topic in section Optimal Control Systems of Control Systems

Answer 1

Correct answer is (a) Positive semi definite symmetric matrix

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