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Linear system theory

Linear system theory (17회 대출)

자료유형
단행본
개인저자
Rugh, Wilson J.
서명 / 저자사항
Linear system theory / Wilson J. Rugh.
발행사항
Englewood Cliffs, N.J. :   Prentice Hall,   c1993.  
형태사항
xi, 356 p. : ill. ; 25 cm.
ISBN
0135550386
서지주기
Includes bibliographical references and indexes.
일반주제명
Control theory. Linear systems.
비통제주제어
Systems analysis,,
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001 000000479300
003 OCoLC
005 19970430110548.0
008 920305s1993 njua b 001 0 eng
010 ▼a 92010464
015 ▼a GB93-3642
019 ▼a 27386483
020 ▼a 0135550386
040 ▼a DLC ▼c DLC ▼d UKM
049 ▼a ACSL ▼l 421115937
050 0 0 ▼a QA402.3 ▼b .R84 1993
082 0 0 ▼a 003/.74 ▼2 20
090 ▼a 003.74 ▼b R932L
100 1 ▼a Rugh, Wilson J.
245 1 0 ▼a Linear system theory / ▼c Wilson J. Rugh.
260 ▼a Englewood Cliffs, N.J. : ▼b Prentice Hall, ▼c c1993.
300 ▼a xi, 356 p. : ▼b ill. ; ▼c 25 cm.
504 ▼a Includes bibliographical references and indexes.
650 0 ▼a Control theory.
650 0 ▼a Linear systems.
653 0 ▼a Systems analysis

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컨텐츠정보

책소개

This introduction to linear system theory has been class tested at several universities. It focuses on time-varying linear systems, with frequent specialization to time-invariant case. Optional chapters pursue refinements and extensions, many confined to time-invariant linear systems. This text offers a clear, careful theoretical treatment, as well as modular organization for flexibility and provides compact, basic treatments of esoteric topics such as the polynomial fraction description and the geometric theory. There are also results that have not previously appeared in text form, for example, realization theory for time-varying linear systems, noninteracting control for time-varying linear systems and output feedback stabilization for time-varying linear systems. This text is intended for graduate level courses in linear system theory, theory of time-varying linear systems and linear state equations.


정보제공 : Aladin

목차


CONTENTS
PREFACE = ⅸ
CHAPTER PLANNING CHART = xi
1 MATHEMATICAL NOTATION AND REVIEW = 1
 Vectors = 2
 Matrices = 3
 Quadratic Forms = 8
 Matrix Calculus = 10
 Convergence = 11
 Laplace Transform = 14
 Exercises = 15
 Notes = 17
2 STATE EQUATION REPRESENTATION = 19
 Examples = 20
 Linearization = 24
 State Equation Implementation = 30
 Exercises = 30
 Notes = 34
3 STATE EQUATION SOLUTION = 36
 Existence = 37
 Uniqueness = 41
 Complete Solution = 43
 Exercises = 46
 Notes = 48
4 TRANSITION MATRIX PROPERTIES = 50
 Two Special Cases = 50
 General Properties = 53
 Variable Changes = 58
 Exercises = 61
 Notes = 64
5 TWO IMPORTANT CASES = 66
 Constant Case = 66
 Periodic Case = 73
 Exercises = 79
 Notes = 82
6 INTERNAL STABILITY = 85
 Uniform Stability = 85
 Uniform Exponential Stability = 87
 Uniform Asymptotic Stability = 91
 Lyapunov Transformations = 93
 Exercises = 94
 Notes = 96
7 LYAPUNOV STABILITY CRITERIA = 98
 Introduction = 98
 Uniform Stability = 100
 Uniform Exponential Stability = 101
 Instability = 105
 Time - Invariant Case = 106
 Exercises = 108
 Notes = 111
8 ADDITIONAL STABILITY CRITERIA = 113
 Eigenvalue Conditions = 113
 Perturbation Results = 115
 Slowly - Varying Systems = 116
 Exercises = 119
 Notes = 122
9 CONTROLLABILITY AND OBSERVABILITY = 124
 Controllability = 124
 Observability = 129
 Exercises = 132
 Notes = 135
10 REALIZABILITY = 138
 Formulation = 139
 Realizability = 140
 Minimal Realization = 142
 Special Cases = 144
 Transfer Function Realizability = 151
 Exercises = 154
 Notes = 156
11 MINIMAL REALIZATION = 158
 Assumptions = 158
 Time - Varying Realizations = 160
 Time - Invariant Realizations = 165
 Realization from Markov Parameters = 170
 Exercises = 175
 Notes = 177
12 INPUT-OUTPUT STABILITY = 179
 Uniform Bounded-Input Bounded Output Stability = 179
 Relation to Uniform Exponential Stability = 182
 Time - Invariant Case = 187
 Exercises = 189
 Notes = 192
13 CONTROLLER AND OBSERVER FORMS = 194
 Controllability = 195
 Controller Form = 198
 Observability = 207
 Observer Form = 208
 Exercises = 210
 Notes = 214
14 LINEAR FEEDBACK = 216
 Effects of Feedback = 217
 State Feedback Stabilization = 219
 Eigenvalue Assignment = 223
 Noninteracting Control = 225
 Exercises = 232
 Notes = 235
15 STATE OBSERVATION = 239
 Observers = 240
 Output Feedback Stabilization = 243
 Time - Invariant Case = 246
 Reduced - Dimension Observers = 247
 A Servomechanism Problem = 250
 Exercises = 254
 Notes = 255
16 POLYNOMIAL FRACTION DESCRIPTION = 258
 Right Polynomial Fractions = 258
 Left Polynomial Fractions = 267
 Column and Row Degrees = 271
 Exercises = 277
 Notes = 278
17 POLYNOMIAL FRACTION APPLICATIONS = 280
 Minimal Realization = 280
 Poles and Zeros = 286
 State Feedback = 290
 Exercises = 292
 Notes = 294
18 GEOMETRIC THEORY = 296
 Subspaces = 296
 Invariant Subspaces = 298
 Controlled Invariant Subspaces = 307
 Controllability Subspaces = 311
 Stabilizability and Detectability = 317
 Exercises = 318
 Notes = 320
19 APPLICATIONS OF GEOMETRIC THEORY = 323
 Disturbance Decoupling = 323
 Disturbance Decoupling with Eigenvalue Assignment = 328
 Noninteracting Control = 333
 Maximal Controlled Invariant Subspace Computation = 342
 Exercises = 343
 Notes = 346
AUTHOR INDEX = 349
SUBJECT INDEX = 352


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