Consider the following statement(s)
1. High positive correcting torque is the reason for large overshoot in a control system
2. Nature of time response is no oscillations if the roots of the characteristic equation are located on the splane imaginary axis
3. The damping ratio and peak overshoot are measures of Speed of response
Which of the above statement(s) is are correct?
Maximum (or) Peak overshoot (Mp): It is the maximum error at the output.
\({M_p} = c\left( {{t_p}} \right)  1,\;{M_p} = e^ \left( {\frac{{\xi \pi }}{{\sqrt {1  {\xi ^2}} }}} \right)\)
\(\% {M_p} = \frac{{c\left( {{t_p}} \right)  c\left( \infty \right)}}{{c\left( \infty \right)}} \times 100\% \)
It is indicative of damping in the system. The peak overshoot is more for fewer values of the damping factor.
Large overshoot refers to the maximum peak in the response of the closedloop system and this is mainly due to the high positive correcting torque
Peak Time (tp): It is the time taken by the response to reach the maximum value.
\({\left. {\frac{{dc\left( t \right)}}{{dt}}} \right_{t = {t_p}}} = 0,{\text{}}{t_p} = \frac{\pi }{{{\omega _d}}}\)
Whenever the poles on the imaginary axis which are non repeated then system response are constant amplitude and frequency of oscillation which are called undamped oscillation or natural frequency of oscillations and system becomes Marginally stable.
Whenever poles are complex conjugate in the left side of splane then the system is exponential decay frequency of oscillations, which are called damped oscillations. The system is said to be Stable.
Whenever poles are complex conjugate in the right side of the splane then the system is exponential rise frequency of oscillations. The system is Unstable.
Pole zero plot 
Frequency response 
Timedomain 
\(\frac{1}{{\left( {s + a + jb} \right)\left( {s + a  jb} \right)}}\) 
\(\frac{1}{b}{e^{  at}}sinbt\) 

\(\frac{1}{{\left( {s + jb} \right)\left( {s  jb} \right)}}\) 
\(\frac{1}{b}sinbt\) 

\(\frac{1}{{\left( {s  a + jb} \right)\left( {s  a  jb} \right)}}\) 
\(\frac{1}{b}{e^{ at}}sinbt\) 