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E-book
Author Gruĭich, L. T. (Li︠u︡bomir Tikhomira), author.

Title Linear continuous-time systems / Lyubomir T. Gruyitch
Published Boca Raton : CRC Press, [2017]
©2017

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Description 1 online resource (xxv, 469 pages)
Contents Introduction -- Classes of systems -- System regimes -- Transfer function matrix G(s) -- Problem statement -- Nondegenerate matrices -- Definition of F(s) -- Determination of F(s) -- Full block diagram algebra -- Physical meaning of F(s) -- System matrix and equivalence -- Realizations of F(s) -- Lyapunov stability -- Bounded input stability -- Motivation for the book -- Summary of the contributions -- Future teaching and research
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
Bibliography Includes bibliographical references (pages 369-380) and indexes
Notes Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force. WlAbNL
Print version record
Subject Linear control systems.
Invariant manifolds.
Time-domain analysis.
MATHEMATICS -- Calculus.
MATHEMATICS -- Mathematical Analysis.
Invariant manifolds
Linear control systems
Time-domain analysis
Form Electronic book
ISBN 9781138039537
1138039535
9781315175782
1315175789
9781315116556
1315116553
9781351707787
1351707787
9781351707763
1351707760
9781351642897
1351642898