Linear Discrete-Time Systems

This book discusses the analysis and design of linear discrete-time time-invariant dynamical systems operating in forced regimes with arbitrary initial conditions. It introduces the concept of the full transfer function matrix and explores the relationship between the matrix and stability concepts. The book aims to unify the study and applications of all three classes of linear discrete-time time-invariant systems.

Format: Paperback / softback
Length: 476 pages
Publication date: 14 June 2022
Publisher: Taylor & Francis Ltd

This comprehensive book delves into the intricate details of linear discrete-time time-invariant dynamical systems, addressing crucial gaps in their understanding. It introduces the reader to their treatment, ensuring their functionality under real, natural conditions, even in forced regimes with arbitrary initial conditions. By presenting novel theoretical tools, the book empowers the analysis and design of systems operating within specified conditions.

The text comprehensively covers two well-known systems, namely, IO and ISO, along with a novel system called IIO. It unravels the concept of the full transfer function matrix F(z) in the z-complex domain, encompassing the Z-transform of the system, input, and another variable, vectors, all with arbitrary initial conditions. This matrix serves as the foundation for the full block diagram technique, which incorporates the Z-transform of the system, input, and another variable, vectors, all with arbitrary initial conditions.

The book explores the direct relationship between the system's full transfer function matrix F(z) and the Lyapunov stability concept, definitions, and conditions, as well as the BI stability concept, definitions, and conditions. Its primary objective is to unify the study and applications of all three classes of linear discrete-time time-invariant systems, often referred to as short systems.

Through its detailed explanations and practical examples, this book equips readers with the knowledge and tools necessary to comprehend and manipulate linear discrete-time time-invariant dynamical systems in various real-world scenarios. Whether you are a researcher, engineer, or student, this book serves as a valuable resource for advancing your understanding of these complex systems and their applications.

Weight: 880g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032339382