Q130
A linear constant parameter continuous-time system has the following A matrix in its state representation \[ X ^ = AX + Bu .\] \[ A = [ array*20c 0& \\ &0 array ]\] Which one of the following is the natural response of the system following the application of any input?
A linear constant parameter continuous-time system has the following A matrix in its state representation
{\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&\alpha \\ \alpha &0 \end{array}} \right]
Which one of the following is the natural response of the system following the application of any input?
{\rm{A}} = \left[ {\begin{array}{*{20}{c}} 0&\alpha \\ \alpha &0 \end{array}} \right]
Which one of the following is the natural response of the system following the application of any input?
A.
Meαt + Ne-αt
AnswerB.
(M + Nt)eαt
C.
(M + Nt)e-αt
D.
Mcosαt + Nsinαt
Answer: Option A
Solution
Answer: Option A
No explanation is given for this question Let's Discuss on Board