# Linear System Theory

## Callier, F. M.; Desoer, Carl A.

Valutazione media 3,75
( su 4 valutazioni fornite da GoodReads )

This book is the result of our teaching over the years an undergraduate course on Linear Optimal Systems to applied mathematicians and a first-year graduate course on Linear Systems to engineers. The contents of the book bear the strong influence of the great advances in the field and of its enormous literature. However, we made no attempt to have a complete coverage. Our motivation was to write a book on linear systems that covers finite- dimensional linear systems, always keeping in mind the main purpose of engineering and applied science, which is to analyze, design, and improve the performance of phy- sical systems. Hence we discuss the effect of small nonlinearities, and of perturbations of feedback. It is our on the data; we face robustness issues and discuss the properties hope that the book will be a useful reference for a first-year graduate student. We assume that a typical reader with an engineering background will have gone through the conventional undergraduate single-input single-output linear systems course; an elementary course in control is not indispensable but may be useful for motivation. For readers from a mathematical curriculum we require only familiarity with techniques of linear algebra and of ordinary differential equations.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Contenuti:

1 Introduction.- 1.1 Science and Engineering.- 1.2 Physical Systems, Models, and Representations.- 1.3 Robustness.- 2 The System RepresentationR(•) = [A(•),B(•),C(•),D(•)].- 2.1 Fundamental Properties ofR(•).- 2.1.1 Definitions.- 2.1.2 Structure ofR(•).- 2.1.3 State Transition Matrix.- 2.1.4 State Transition Map and Response Map.- 2.1.5 Impulse Response Matrix.- 2.1.6 Adjoint Equations.- 2.1.7 Linear-Quadratic Optimization.- 2.2 Applications.- 2.2.1 Variational Equation.- 2.2.2 Control Correction Example.- 2.2.3 Optimization Example.- 2.2.4 Periodically Varying Differential Equations.- 2d The Discrete-Time System RepresentationRd(•) = [A(•),B(•),C(•),D(•)].- 2d.1 Fundamental Properties ofRd(•).- 2d.2 Application: Periodically Varying Recursion Equations.- 3 The System RepresentationR= [A,B,C,D], Part I.- 3.1 Preliminaries.- 3.2 General Properties ofR= [A,B,C,D].- 3.2.1 Definition.- 3.2.2 State Transition Matrix.- 3.2.3 The State Transition and Response Map of R.- 3.3 Properties of R when A has a Basis of Eigenvectors.- 3d The Discrete-Time System Representation Rd = [A,B,C,D].- 3d.1 Preliminaries.- 3d.2 General Properties of Rd.- 3d.3 Properties of Rd when A has a Basis of Eigenvectors.- 4 The System Representation R = [A,B,C,D], Part II.- 4.1 Preliminaries.- 4.2 Minimal Polynomial.- 4.3 Decomposition Theorem.- 4.4 The Decomposition of a Linear Map.- 4.5 Jordan Form.- 4.6 Function of a Matrix.- 4.7 Spectral Mapping Theorem.- 4.8 The Linear Map X ? AX+XB.- 5 General System Concepts.- 5.1 Dynamical Systems.- 5.2 Time-Invariant Dynamical Systems.- 5.3 Linear Dynamical Systems.- 5.4 Equivalence.- 6 Sampled Data Systems.- 6.1 Relation BetweenL- and z-Transforms.- 6.2 D/A Converter.- 6.3 A/D Converter.- 6.4 Sampled-Data System.- 6.5 Example.- 7 Stability.- 7.1 I/O Stability.- 7.2 State Related Stability Concepts and Applications.- 7.2.1 Stability of x = A(t)x.- 7.2.2 Bounded Trajectories and Regulation.- 7.2.3 Response to T-Periodic Inputs.- 7.2.4 Periodically Varying System with Periodic Input.- 7.2.5 Slightly Nonlinear Systems.- 7d Stability: The Discrete-Time Case.- 7d.1 I/O Stability.- 7d.2 State Related Stability Concepts.- 7d.2.1 Stability of x(k+1) = A(k)x(k).- 7d.2.2 Bounded Trajectories and Regulation.- 7d.2.3 Response to q-Periodic Inputs.- 8 Controllability and Observability.- 8.1 Controllability and Observability of Dynamical Systems.- 8.2 Controllability of the Pair (A(•),B(•)).- 8.2.1 Controllability of the Pair (A(•),B(•)).- 8.2.2 The Cost of Control.- 8.2.3 Stabilization by Linear State Feedback.- 8.3 Observability of the Pair (C(•),A(•)).- 8.4 Duality.- 8.5 Linear Time-Invariant Systems.- 8.5.1 Observability Properties of the Pair (C,A).- 8.5.2 Controllability of the Pair (A,B).- 8.6 Kalman Decomposition Theorem.- 8.7 Hidden Modes, Stabilizability, and Detectability.- 8.8 Balanced Representations.- 8.9 Robustness of Controllability.- 8d Controllability and Observability: The Discrete-Time Case.- 8d.1 Controllability and Observability of Dynamical Systems.- 8d.2 Reachability and Controllability of the Pair (A(•),B(•)).- 8d.2.1 Controllability of the Pair (A(•),B(•)).- 8d.2.2 The Cost of Control.- 8d.3 Observability of the Pair (C(•),A(•)).- 8d.4 Duality.- 8d.5 Linear Time-Invariant Systems.- 8d.5.1 Observability of the Pair (C,A).- 8d.5.2 Reachability and Controllability of the Pair(A,B).- 8d.6 Kalman Decomposition Theorem.- 8d.7 Stabilizability and Detectability.- 9 Realization Theory.- 9.1 Minimal Realizations.- 9.2 Controllable Canonical Form.- 10 Linear State Feedback and Estimation.- 10.1 Linear State Feedback.- 10.2 Linear Output Injection and State Estimation.- 10.3 State Feedback of the Estimated State.- 10.4 Infinite Horizon Linear Quadratic Optimization.- 10d.4 Infinite Horizon Linear Quadratic Optimization. The Discrete-Time Case.- 11 Unity Feedback Systems.- 11.1 The Feedback System ?c.- 11.1.1 State Space Analysis.- 11.1.2 Special Case:R1andR2have no Unstable Hidden Modes.- 11.1.3 The Discrete-Time Case.- 11.2 Nyquist Criterion.- 11.2.1 The Nyquist Criterion.- 11.2.2 Remarks on the Nyquist Criterion.- 11.2.3 Proof of Nyquist Criterion.- 11.2.4 The Discrete-Time Case.- 11.3 Robustness.- 11.3.1 Robustness With Respect to Plant Perturbations.- 11.3.2 Robustness With Respect to Exogenous Disturbances.- 11.3.3 Robust Regulation.- 11.3.4 Bandwidth-Robustness Tradeoff.- 11.3.5 The Discrete-Time Case.- 11.4 Kharitonov’s Theorem.- 11.4.1 Hurwitz Polynomials.- 11.4.2 Kharitonov’s Theorem.- 11.5 Robust Stability Under Structured Perturbations.- 11.5.1 General Robustness Theorem.- 11.5.2 Special Case: Affine Maps and Convexity.- 11.5.3 The Discrete Time Case.- 11.6 Stability Under Arbitrary Additive Plant Perturbations.- 11.7 Transmission Zeros.- 11.7.1 Single-Input Single-Output Case.- 11.7.2 Multi-Input Multi-Output Case: Assumptions and Definitions.- 11.7.3 Characterization of the Zeros.- 11.7.4 Application to Unity Feedback Systems.- Appendix A Linear Maps and Matrix Analysis.- A.1 Preliminary Notions.- A.2 Rings and Fields.- A.3 Linear Spaces.- A4. Linear Maps.- AS. Matrix Representation.- A.5.1 The Concept of Matrix Representation.- A.5.2 Matrix Representation and Change of Basis.- A.5.3 Range and Null Space: Rank and Nullity.- A.5.4 Echelon Forms of a Matrix.- A.6 Notmed Linear Spaces.- A.6.1 Norms.- A.6.2 Convergence.- A.6.3 Equivalent Norms.- A.6.4 The Lebesgue Spaces 1P and LP [Tay.1].- A.6.5 Continuous Linear Transformations.- A.7 The Adjoint of a Linear Map.- A.7.1 Inner Products.- A.7.2 Adjoints of Continuous Linear Maps.- A.7.3 Properties of the Adjoint.- A.7.4 The Finite Rank Operator Fundamental Lemma.- A.7.5 Singular Value Decomposition (SVD).- Appendix B Differential Equations.- BA Existence and Uniqueness of Solutions.- B.1.1 Assumptions.- B.1.2 Fundamental Theorem.- B.1.3 Construction of a Solution by Iteration.- B.1.4 The Bellman-Gronwall Inequality.- B.1.5 Uniqueness.- B.2 Initial Conditions and Parameter Perturbations.- B.3 Geometric Interpretation and Numerical Calculations.- Appendix C Laplace Transforms.- C.1 Definition of the Laplace Transform.- C.2 Properties of Laplace Transforms.- Appendix D the z-Transform.- D.1 Definition of the z-Transform.- D.2 Properties of the z-Transform.- References.- Abbreviations.- Mathematical Symbols.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 106,93

Spese di spedizione: EUR 3,67
In U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Linear System Theory (Springer Texts in Electrical Engineering)

Editore: Springer (1991)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 1
Print on Demand
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1991. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria SONG038797573X

Compra nuovo
EUR 106,93
Convertire valuta
Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

## 2.Linear System Theory (Springer Texts in Electrical Engineering)

Editore: Springer (2017)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 2
Print on Demand
Da
Murray Media
(North Miami Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 2017. Hardcover. Condizione libro: New. This item is printed on demand. Codice libro della libreria P11038797573X

Compra nuovo
EUR 132,37
Convertire valuta
Spese di spedizione: EUR 2,75
In U.S.A.
Destinazione, tempi e costi

## 3.Linear System Theory (Springer Texts in Electrical Engineering)

Editore: Springer-Verlag (1991)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 2
Da
Revaluation Books
(Exeter, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag, 1991. Hardcover. Condizione libro: Brand New. corrected edition. 509 pages. 9.75x6.50x1.25 inches. In Stock. Codice libro della libreria __038797573X

Compra nuovo
EUR 160,50
Convertire valuta
Spese di spedizione: EUR 7,06
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 4.Linear System Theory

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1994. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387975733

Compra nuovo
EUR 172,57
Convertire valuta
Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi

## 5.Linear System Theory

Editore: Springer-Verlag New York Inc. (1994)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1994. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780387975733

Compra nuovo
EUR 168,87
Convertire valuta
Spese di spedizione: EUR 10,58
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 6.Linear System Theory: Springer Texts in Electrical Engineering

Editore: Springer (1994)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 15
Print on Demand
Da
Valutazione libreria

Descrizione libro Springer, 1994. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780387975733

Compra nuovo
EUR 174,14
Convertire valuta
Spese di spedizione: EUR 5,55
Da: Germania a: U.S.A.
Destinazione, tempi e costi

## 7.Linear System Theory (Springer Texts in Electrical Engineering)

Editore: Springer
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 1
Da
Cloud 9 Books
(West Palm Beach, FL, U.S.A.)
Valutazione libreria

Descrizione libro Springer. Hardcover. Condizione libro: New. 038797573X New Condition. Codice libro della libreria NEW6.0941127

Compra nuovo
EUR 176,27
Convertire valuta
Spese di spedizione: EUR 4,59
In U.S.A.
Destinazione, tempi e costi

## 8.Linear System Theory

Editore: Springer (2016)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387975733_lsuk

Compra nuovo
EUR 179,75
Convertire valuta
Spese di spedizione: EUR 3,90
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 9.Linear System Theory

Editore: Springer (1991)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 1991. Hardback. Condizione libro: NEW. 9780387975733 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0276435

Compra nuovo
EUR 176,54
Convertire valuta
Spese di spedizione: EUR 9,41
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 10.Linear System Theory (Springer Texts in Electrical Engineering)

Editore: Springer (1991)
ISBN 10: 038797573X ISBN 13: 9780387975733
Nuovi Rilegato Quantità: 1
Print on Demand
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1991. Hardcover. Condizione libro: New. Corrected. This item is printed on demand. Codice libro della libreria DADAX038797573X

Compra nuovo
EUR 187,88
Convertire valuta
Spese di spedizione: EUR 3,67
In U.S.A.
Destinazione, tempi e costi