Q. The Routh-Hurwitz criterion is a mathematical test that is necessary and sufficient condition for:
Solution:
In control system theory, the Routh?Hurwitz stability criterion is a mathematical test that is a necessary and sufficient condition for the stability of a linear time invariant (LTI) control system. The importance of the criterion is that the roots of the characteristic equation of a linear system with negative real parts represent solutions of the system that are stable (bounded). Thus the criterion provides a way to determine if the equations of motion of a linear system have only stable solutions, without solving the system directly.
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