EC > GATE 2023 > State-Space Equations
The state equation of a second order system is
x(t) = Ax(t), x(0) is the initial condition.
Suppose λ1 and λ2 are two distinct eigenvalues of A and v1 and v2 are the corresponding eigenvectors. For constants α1 and α2, the solution, x(t), of the state equation is
x(t) = Ax(t), x(0) is the initial condition.
Suppose λ1 and λ2 are two distinct eigenvalues of A and v1 and v2 are the corresponding eigenvectors. For constants α1 and α2, the solution, x(t), of the state equation is
Correct : a
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