GO Electrical
0 votes

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 $h$.



For this discrete-time system, which one of the following statements is TRUE?

  1. The system is not stable for $h > 0$
  2. The system is stable for $h > \frac{1}{\pi}$
  3. The system is stable for $0 < h <\frac{1}{2\pi}$
  4. The system is stable for $\frac{1}{2\pi}<h<\frac{1}{\pi}$
in new by (9.3k points)
recategorized by

Please log in or register to answer this question.

Welcome to GATE Overflow, Electrical, where you can ask questions and receive answers from other members of the community.

913 questions
50 answers
27,663 users