engineering recuitment GATE EE 2023-24 Test Series Control Systems State Space Analysis State Transition Matrix
Which of the following properties are associated with the state transition matrix ϕ(t)?
1. ϕ(0) = I
2. ϕ(t2 - t1) = ϕ(t2) . ϕ-1(t1)
3. ϕ(t2 + t1) = ϕ(t2) . ϕ(t1)
4. ϕ(t2 - t1) = ϕ(t2 - t0). ϕ(t0 - t1)
Select the correct answer using the codes given below:
1
1, 3 and 4
2
1, 2 and 3
3
1, 2 and 4
4
all of the above