Physics · Control Systems
Consider a linear time-invariant (LTI) system with the transfer function G(s) = 10 / (s2 + 6s + 10). Which of the following statements is correct regarding the open-loop stability of the system?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The system is unstable because one of the poles is at the origin.
- 2The system is stable because all poles lie in the left half of the s-plane.✓
- 3The system is marginally stable because the poles are on the imaginary axis.
- 4The system is stable, but the damping ratio is less than 0.5.
Correct answer
The system is stable because all poles lie in the left half of the s-plane.
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