Electronics and Communication Engineering - Exam Questions Papers - Discussion

8. 

Consider the system with and where p and q are arbitrary real numbers. Which of the following statements about the controllability of the system is true?

[A]. The system is completely state controllable for any non zero values p and q
[B]. Only p = 0 and q = 0 result in controllability
[C]. The system is uncontrollable for all values of p and q
[D]. We cannot conclude about controllability from the given data

Answer: Option C

Explanation:

Use the condition of controllability.


Shagufta said: (Aug 1, 2015)  
What is the conditions for controllability?

Anam Saniya said: (Jul 12, 2017)  
Form a matrix of [ B AB A^2B].

This is the condition of controllability.

Hema said: (Nov 15, 2017)  
Controllability Qc = [B AB A^2B].
if |Qc| not equal to zero then the system is controllable.

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