1) describe zero order hold and derive the transfer function.

2) What is the Shannon’s sampling theorem in brief.

3) a) Describe the Jury’s stability criterion.

b) Determine the stability by using Jury’s stability criterion of the characteristic equation ?(z)=2z4+7z3+10z2+4z+1.

4) a) Find the Z-transform of e-at

b) Describe the mapping between s and z-plane.

5) describe the function of dead zone and on/off nonlinearities of control system.

6) What do you understand by the Lyapunov’s stability and instability theorem.

7) Describe the phase plane method of nonlinearities with ex.

8) Illustrate the iso-cline method of non linear system with ex.

9) Describe the concept of controllability and Operability of a control system.

10) Describe the cayley Hamilton theorem.