The nature of a second-order linear time-invariant (LTI) system is determined by the roots of its characteristic equation (the denominator of the transfer function set to zero). The discriminant of the quadratic equation ($b^2 - 4ac$) dictates the damping behavior: zero discriminant for critical damping, positive for overdamping, and negative for underdamping. Stability is determined by the sign of the real part of the roots; negative real parts indicate stability.
A transfer function of a system is given as $ \frac{100}{s^2 + 20s + 100}$ The system is
Asked in GS&EI ElectEngg 14 2024 1601 2025 · Topic: Computer and Information Technology (Computational Physics: Numerical methods and algorithms for physical problems)
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Answer: C. a critical damped system
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