Abstract
This lecture presents Laplace Transform (LT) and its region of convergence. Its relation to Laplace transform is presented. Notable LT properties are reviewed: time shift, convolution, signal differentiation/integration. Its use in defining Linear Time-Invariant (LTI) continuous-time systems transfer function is also presented and stability issues are overviewed. Various types of such systems are presented with examples (e.g., RC electric filters, temporal diffusion systems).
RC system.
System pole in the left complex half-plane and impulse response.
Laplace-Transform-v2.0.1-Summary