
4
Linear Systems Analysis
4.1 INTRODUCTION
Chapter 2 introduced first- and second-order linear time-invariant (LTI) systems in a very superficial
way. A general form for the family of step responses, in the absence of input derivative terms, was
presented for both types of systems. Alternate representations of LTI systems, namely, simulation
diagrams and state-space models, were also discussed.
Chapters 1 and 3 outlined methods for transforming continuous-time differential equation models
into discrete-time system models comprising difference equations. In doing so, the grounds were
laid for the foundation of continuous-time system simulation.
A natural ...