Electrical Engineering > GATE 2015 SET-2 > Discrete Time Systems
The following discrete-time equations result from the numerical integration of the differential equations of an un-damped simple harmonic oscillator with state variables x and y. The integration time step is h.
(xk+1 - xk)/h = yk
(yk+1 - yk)/h = -xk
For this discrete-time system, which one of the following statements is TRUE?
(xk+1 - xk)/h = yk
(yk+1 - yk)/h = -xk
For this discrete-time system, which one of the following statements is TRUE?
A
The system is not stable for h>0
B
The system is stable for h>1/π
C
The system is stable for 0
D
The system is stable for 1/(2π)
Correct : a
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