engineering recuitment GATE EE 2023-24 Test Series Control Systems Basics of Control Systems Mathematical Modeling and Representation of Systems
Consider a linear time invariant system whose input x(t) and output y(t) are related by the following differential equation.
\(\frac{{{d^2}y}}{{d{t^2}}} + {a_1}\frac{{dy}}{{dt}} + {a_0}y\left( t \right) = {b_0}x\left( t \right)\)
The condition for the poles of the above system to be real is
1
\({a_0} < \frac{{a_1^2}}{4}\)
2
\({b_0} > \frac{{a_1^2}}{4}\)
3
\({a_0} > \frac{{a_1^2}}{4}\)
4
\({a_0} > \frac{{a_1^2}}{{4{b_0}}}\)