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Linear continuous-time systems / Lyubomir T. Gruyitch.

By: Gruæiich, L. T. (Lëiìubomir Tikhomira) [author.]Material type: Text

TextPublisher: Boca Raton : CRC Press, [2017]Description: 1 online resource (xxvi, 469 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9781315116556; 9781351707763Subject(s): Invariant manifolds | Linear control systems | Time-domain analysisAdditional physical formats: Print version: : No titleDDC classification: 515.39 LOC classification: TJ220 | .G78 2017Online resources: Click here to view.

Contents:

part, 1 Basic Topics of Linear Continuous-Time Time-Invariant Dynamical Systems -- chapter 1 Introduction / Lyubomir T. Gruyitch -- chapter 2 Classes of systems / Lyubomir T. Gruyitch -- chapter 3 System Regimes / Lyubomir T. Gruyitch -- chapter 4 Transfer function matrix G(s) / Lyubomir T. Gruyitch -- part, 2 Full Transfer Function Matrix F(S) and System Realization -- chapter 5 Problem statement / Lyubomir T. Gruyitch -- chapter 6 Nondegenerate matrices / Lyubomir T. Gruyitch -- chapter 7 Definition of F(s) / Lyubomir T. Gruyitch -- chapter 8 Determination of F(s) / Lyubomir T. Gruyitch -- chapter 9 Full block diagram algebra / Lyubomir T. Gruyitch -- chapter 10 Physical meaning of F(s) / Lyubomir T. Gruyitch -- chapter 11 System matrix and equivalence / Lyubomir T. Gruyitch -- chapter 12 Realizations of F(s) / Lyubomir T. Gruyitch -- part, 3 Stability Study -- chapter 13 Lyapunov stability / Lyubomir T. Gruyitch -- chapter 14 Bounded Input stability / Lyubomir T. Gruyitch -- part, 4 Conclusion -- chapter 15 Motivation for the book / Lyubomir T. Gruyitch -- chapter 16 Summary of the contributions / Lyubomir T. Gruyitch -- chapter 17 Future teaching and research / Lyubomir T. Gruyitch.

Summary: "This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the system full transfer function matrix F(s). The text also establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores 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. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems"-- Provided by publisher.Summary: "This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text completely covers IO, ISO and IIO systems. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the also newly introduced system full transfer function matrix F(s). The text establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores 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. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems."--Provided by publisher.

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Includes bibliographical references and indexes.

"This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the system full transfer function matrix F(s). The text also establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores 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. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems"-- Provided by publisher.

"This book aims to help the reader understand the linear continuous-time time-invariant dynamical systems theory and its importance for systems analysis and design of the systems operating in real conditions, i.e., in forced regimes under arbitrary initial conditions. The text completely covers IO, ISO and IIO systems. It introduces the concept of the system full matrix P(s) in the complex domain and establishes its link with the also newly introduced system full transfer function matrix F(s). The text establishes the full block diagram technique based on the use of F(s), which incorporates the Laplace transform of the input vector and the vector of all initial conditions. It explores 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. The goal of the book is to unify the study and applications of all three classes of the of the linear continuous-time time-invariant systems, for short systems."--Provided by publisher.