Which one of the following system is completely state controllable?

Home » Control Systems » Control systems miscellaneous » Question

Which one of the following system is completely state controllable?

1. x₁ = -1 0 x₁ + 2 u
  x₂ 0 -1 x₂ 1
2. x₁ = -1 0 x₁ + 2 u
  x₂ 0 -2 x₂ 1
3. x₁ = 1 1 x₁ + 1 u
  x₂ 0 -1 x₂ 0
4. x₁ = 0 0 x₁ + 2 u
  x₂ 2 -2 x₂ 2

Correct Option: A

Try yourself