Ist PART: PROCESSES WITH LUMPED PARAMETERS.- Linear processes invariant in time.- Time varying linear processes.- Non-linear processes with lumped parameters.- IInd PART: PROCESSES WITH DISTRIBUTED PARAMETERS.- Linear processes with distributed parameters.- IIIrd PART: SIMULATION EXAMPLES.- Modeling and simulation examples of lumped parameters processes.- Modeling and simulation examples for distributed parameters processes.- Case studies for establishing the Mpdx matrix.- Partial derivative equations in the Cartesian Space.- Parallel, serial and with feed-back connection, for the processes modeled through PDE.- Control system with distributed and lumped parameters in the Cartesian space - cases studies.- Numerical simulation using partial differential equations, for propagation and control in discontinuous structures processes.- Conclusions.