Quiz-1

If the s-plane contour encloses 2 zeros and 2 poles of q(s), the corresponding q(s) plane contour will encircle the origin of q(s) plane

• twice in clockwise direction

• twice in anti-clockwise direction

• zero times

• four times

x(t)=Ax(t) + Bu(t) is called the

• State equation

• System equation

• State transition equation

• None of this

When analyzing a system in the s-plane, if the contour encloses all poles and no zeros, what can be said about the system?

• The system is stable

• The system is unstable

• The system is marginally stable

• The system is critically stable

What is the Laplace transform of the state equation x(t)=Ax(t) + Bu(t)?

• A(s)X(s) + B(s)U(s)

• X(s) = A(s)X(s) + B(s)U(s)

• X(s) = A(s)X(s) + U(s)

• X(s) = A(s)X(s) + B(s)

When all poles of a system in the s-plane have negative real parts, the system is considered to be:

• Stable

• Unstable

• Marginally stable

• Critically stable

A in x(t)=Ax(t) + Bu(t) is called the

• Input Matrix

• State Matrix

• System matrix

• Transmission Matrix

The signal at the output of a sampler is available in the form of

• Impulses

• Long duration pulses

• Square waves

• Short duration pulses

When all poles of a system in the s-plane have positive real parts, the system is considered to be:

• Stable

• Unstable

• Marginally stable

• Critically stable

Shanon's sampling theorem states that for signal recovery

Increasing the sampling period ____________ the margin of stability

• increases

• reduces

• does not change