The Routh-Hurwitz Criterion is a mathematical test used to determine the stability of linear time-invariant (LTI) systems by analyzing the coefficients of their characteristic polynomial. This criterion helps to establish whether all the roots of the polynomial lie in the left half of the complex plane, which is essential for ensuring that the system is stable and causal. If a system is stable, it means that its output will respond to inputs in a predictable and bounded manner, maintaining performance over time.
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