Electrical Engineering > GATE 2016 SET-2 > State Space Analysis
Consider a linear time invariant system ẋ = Ax, with initial condition x(0) at t=0. Suppose α and β are eigenvectors of (2x2) matrix A corresponding to distinct eigenvalues λ1 and λ2 respectively. Then the response x(t) of the system due to initial condition x(0) = α is
A
eλ1tα
B
eλ2tβ
C
eλ2tα
D
eλ1tα + eλ2tβ

Correct : a

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eigenvalue problem linear time invariant system GATE Electrical Engineering 2016 electrical engineering gate system response initial condition eigenvectors distinct eigenvalues exponential response electrical engineering gate 2016 system response equation

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