# QUESTION OF CONTROL SYSTEM?

SOLVE PLS

Consider the system whose governing equation is y¨(t)+2y(t)=u(t) . The input for which the system output would be unbounded is1sin(2t)cos(2–√t)sin(t)

Update:

Consider the system whose governing equation is y....(t)+6y¨(t)+9y(t)=u(t) . The system output would be unbounded for

only u(t)=1

only u(t)=cos(3t)

any bounded input

only u(t)=cos(9t)

Update 2:

Consider the system whose governing equation is y¨(t)−2y˙(t)−3y(t)=u(t) . The system output would be unbounded for

only u(t)=1

only u(t)=cos(3t)

only u(t)=sin(t)

any bounded input

Update 3:

Consider the system whose governing equation is y....(t)+5y...(t)+9y¨(t)+7y˙(t)+2y(t)=u(t) . Which ONE of the following statements is TRUE?

The multiplicity of the -1 pole and -2 pole is 2 and 2 respectively

The multiplicity of the -1 pole and -2 pole is 3 and 1 respectively

The multiplicity of the -1 pole and -2 pole is 2 and 1 respectively

The multiplicity of the -1 pole and -2 pole is 1 and 2 respectively