Models of physical systems: differential equations for physical systems including mechanical, electrical, hydraulic, thermal and pneumatic systems; linearisation. System analysis techniques: solution by Laplace transform method. Transfer functions and block diagrams. System response: response of first and second order systems to impulse step, ramp and periodic inputs; higher order system response; concept of system stability, applications. Concept of control. Stability criteria; use of Root Locus and Bode for system analysis and modification. Simulation of linear and non-linear systems. The matrix exponential and state space notation. The transfer matrix. Pole and state feedback, controllability and observability. Use of MATLAB as a simulation environment.