Linear Continuous-Time Systems

The book aims to unify the study and applications of the IO, ISO, and IIO linear continuous-time time-invariant systems and highlight its importance for analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text investigates a complex domain fundamental dynamical characteristic of the systems. It presents the definition of F(s) and resolves the problem of its determination so that it has the same properties as the well-known system transfer function matrix G(s). Additionally, the reader will explore the direct relationship between the system full transfer function matrix F(s) and the Lyapunov stability concept, definitions and conditions, as well as with the BI stability concept, definitions, and conditions.