A mathematical introduction to control theory:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2005
|
| Schriftenreihe: | Series in electrical and computer engineering
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 350 S. graph. Darst. |
| ISBN: | 1860945708 9781860945700 |
Internformat
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| 100 | 1 | |a Engelberg, Shlomo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a A mathematical introduction to control theory |c Shlomo Engelberg |
| 264 | 1 | |a London |b Imperial College Press |c 2005 | |
| 300 | |a XVII, 350 S. |b graph. Darst. | ||
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| 490 | 1 | |a Series in electrical and computer engineering |v 2 | |
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Datensatz im Suchindex
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| adam_text | S E R I E S I N E L E C T R I C A L A N D C O M P U T E R E N G I N E E
R I N G VOL.2 A MATHEMATICAL INTRODUCTION T O CONTROL THEORY SHLOMO
ENGELBERG JERUSALEM COLLEGE OF TECHNOLOGY, ISRAEL ICP IMPERIAL COLLEGE
PRESS CONTENTS PREFACE VII 1. MATHEMATICAL PRELIMINARIES 1 1.1 AN
INTRODUCTION TO THE LAPLACE TRANSFORM 1 1.2 PROPERTIES OF THE LAPLACE
TRANSFORM 2 1.3 FINDING THE INVERSE LAPLACE TRANSFORM 15 1.3.1 SOME
SIMPLE INVERSE TRANSFORMS 16 1.3.2 THE QUADRATIC DENOMINATOR 18 1.4
INTEGRO-DIFFERENTIAL EQUATIONS 20 1.5 AN INTRODUCTION TO STABILITY 25
1.5.1 SOME PRELIMINARY MANIPULATIONS 25 1.5.2 STABILITY 26 1.5.3 WHY WE
OBSESS ABOUT STABILITY 28 1.5.4 THE TACOMA NARROWS BRIDGE*A BRIEF CASE
HISTORY 29 1.6 MATLAB 29 1.6.1 ASSIGNMENTS 29 1.6.2 COMMANDS 31 1.7
EXERCISES 32 2. TRANSFER FUNCTIONS 35 2.1 TRANSFER FUNCTIONS 35 2.2 THE
FREQUENCY RESPONSE OF A SYSTEM 37 2.3 BODE PLOTS 40 2.4 THE TIME
RESPONSE OF CERTAIN TYPICAL SYSTEMS . . . . 42 2.4.1 FIRST ORDER
SYSTEMS 43 2.4.2 SECOND ORDER SYSTEMS 44 XII A MATHEMATICAL INTRODUCTION
TO CONTROL THEORY 2.5 THREE IMPORTANT DEVICES AND THEIR TRANSFER
FUNCTIONS . 46 2.5.1 THE OPERATIONAL AMPLIFIER (OP AMP) 46 2.5.2 THE DC
MOTOR 49 2.5.3 THE SIMPLE SATELLITE 50 2.6 BLOCK DIAGRAMS AND HOW TO
MANIPULATE THEM 51 2.7 A FINAL EXAMPLE 54 2.8 EXERCISES 57 3.
FEEDBACK*AN INTRODUCTION 61 3.1 WHY FEEDBACK*A FIRST VIEW 61 3.2
SENSITIVITY 62 3.3 MORE ABOUT SENSITIVITY 64 3.4 A SIMPLE EXAMPLE 65 3.5
SYSTEM BEHAVIOR AT DC 66 3.6 NOISE REJECTION 70 3.7 EXERCISES 71 4. THE
ROUTH-HURWITZ CRITERION 75 4.1 PROOF AND APPLICATIONS 75 4.2 A DESIGN
EXAMPLE 84 4.3 EXERCISES 87 5. THE PRINCIPLE OF THE ARGUMENT AND ITS
CONSEQUENCES 91 5.1 MORE ABOUT POLES IN THE RIGHT HALF PLANE 91 5.2 THE
PRINCIPLE OF THE ARGUMENT 92 5.3 THE PROOF OF THE PRINCIPLE OF THE
ARGUMENT 93 5.4 HOW ARE ENCIRCLEMENTS MEASURED? 95 5.5 FIRST
APPLICATIONS TO CONTROL THEORY 98 5.6 SYSTEMS WITH LOW-PASS OPEN-LOOP
TRANSFER FUNCTIONS . 100 5.7 MATLAB AND NYQUIST PLOTS 106 5.8 THE
NYQUIST PLOT AND DELAYS 107 5.9 DELAYS AND THE ROUTH-HURWITZ CRITERION
ILL 5.10 RELATIVE STABILITY 113 5.11 THE BODE PLOTS 118 5.12 AN
(APPROXIMATE) CONNECTION BETWEEN FREQUENCY SPECI- FICATIONS AND TIME
SPECIFICATION 119 5.13 SOME MORE EXAMPLES 122 5.14 EXERCISES 126
CONTENTS XIII 6. THE ROOT LOCUS DIAGRAM 131 6.1 THE ROOT LOCUS*AN
INTRODUCTION 131 6.2 RULES FOR PLOTTING THE ROOT LOCUS 133 6.2.1 THE
SYMMETRY OF THE ROOT LOCUS 133 6.2.2 BRANCHES ON THE REAL AXIS 134 6.2.3
THE ASYMPTOTIC BEHAVIOR OF THE BRANCHES . . . 135 6.2.4 DEPARTURE OF
BRANCHES FROM THE REAL AXIS . . . 138 6.2.5 A CONSERVATION LAW 143
6.2.6 THE BEHAVIOR OF BRANCHES AS THEY LEAVE FINITE POLES OR ENTER
FINITE ZEROS 144 6.2.7 A GROUP OF POLES AND ZEROS NEAR THE ORIGIN . .
145 6.3 SOME (SEMI-)PRACTICAL EXAMPLES 147 6.3.1 THE EFFECT OF ZEROS IN
THE RIGHT HALF-PLANE ... 147 6.3.2 THE EFFECT OF THREE POLES AT THE
ORIGIN 148 6.3.3 THE EFFECT OF TWO POLES AT THE ORIGIN 150 6.3.4
VARIATIONS ON OUR THEME 150 6.3.5 THE EFFECT OF A DELAY ON THE ROOT
LOCUS PLOT . 153 6.3.6 THE PHASE-LOCK LOOP 156 6.3.7 SOUNDING A
CAUTIONARY NOTE*POLE-ZERO CANCELLATION 159 6.4 MORE ON THE BEHAVIOR OF
THE ROOTS OF Q{S)/K + P(S) = 0 161 6.5 EXERCISES 163 7. COMPENSATION 167
7.1 COMPENSATION*AN INTRODUCTION 167 7.2 THE ATTENUATOR 167 7.3
PHASE-LAG COMPENSATION 168 7.4 PHASE-LEAD COMPENSATION 175 7.5 LAG-LEAD
COMPENSATION 180 7.6 THE PID CONTROLLER 181 7.7 AN EXTENDED EXAMPLE 188
7.7.1 THE ATTENUATOR 189 7.7.2 THE PHASE-LAG COMPENSATOR 189 7.7.3 THE
PHASE-LEAD COMPENSATOR 191 7.7.4 THE LAG-LEAD COMPENSATOR 193 7.7.5 THE
PD CONTROLLER 195 7.8 EXERCISES 196 XIV A MATHEMATICAL INTRODUCTION TO
CONTROL THEORY 8. SOME NONLINEAR CONTROL THEORY 203 8.1 INTRODUCTION 203
8.2 THE DESCRIBING FUNCTION TECHNIQUE 204 8.2.1 THE DESCRIBING FUNCTION
CONCEPT 204 8.2.2 PREDICTING LIMIT CYCLES 207 8.2.3 THE STABILITY OF
LIMIT CYCLES 208 8.2.4 MORE EXAMPLES 211 8.I4.1 A NONLINEAR OSCILLATOR
211 8.2.4.2 A COMPARATOR WITH A DEAD ZONE 212 8.2.4.3 A SIMPLE QUANTIZER
213 8.2.5 GRAPHICAL METHOD 214 8.3 TSYPKIN S METHOD 216 8.4 THE TSYPKIN
LOCUS AND THE DESCRIBING FUNCTION TECHNIQUE 221 8.5 EXERCISES 223 9. AN
INTRODUCTION TO MODERN CONTROL 227 9.1 INTRODUCTION 227 9.2 THE STATE
VARIABLES FORMALISM 227 9.3 SOLVING MATRIX DIFFERENTIAL EQUATIONS 229
9.4 THE SIGNIFICANCE OF THE EIGENVALUES OF THE MATRIX 230 9.5
UNDERSTANDING HOMOGENEOUS MATRIX DIFFERENTIAL EQUATIONS 232 9.6
UNDERSTANDING INHOMOGENEOUS EQUATIONS 233 9.7 THE CAYLEY-HAMILTON
THEOREM 234 9.8 CONTROLLABILITY 235 9.9 POLE PLACEMENT 236 9.10
OBSERVABILITY 237 9.11 EXAMPLES 238 9.11.1 POLE PLACEMENT 238 9.11.2
ADDING AN INTEGRATOR 240 9.11.3 MODERN CONTROL USING MATLAB 241 9.11.4 A
SYSTEM THAT IS NOT OBSERVABLE 242 9.11.5 A SYSTEM THAT IS NEITHER
OBSERVABLE NOR CONTROL- LABLE 244 9.12 CONVERTING TRANSFER FUNCTIONS TO
STATE EQUATIONS . . . . 245 9.13 SOME TECHNICAL RESULTS ABOUT SERIES OF
MATRICES 246 9.14 EXERCISES 248 10. CONTROL OF HYBRID SYSTEMS 251
CONTENTS XV 10.1 INTRODUCTION 251 10.2 THE DEFINITION OF THE Z-TRANSFORM
251 10.3 SOME EXAMPLES 252 10.4 PROPERTIES OF THE Z-TRANSFORM 253 10.5
SAMPLED-DATA SYSTEMS 257 10.6 THE SAMPLE-AND-HOLD ELEMENT 258 10.7 THE
DELTA FUNCTION AND ITS LAPLACE TRANSFORM 260 10.8 THE IDEAL SAMPLER 261
10.9 THE ZERO-ORDER HOLD 261 10.10 CALCULATING THE PULSE TRANSFER
FUNCTION 262 10.11 USING MATLAB TO PERFORM THE CALCULATIONS 266 10.12
THE TRANSFER FUNCTION OF A DISCRETE-TIME SYSTEM . . . . 268 10.13 ADDING
A DIGITAL COMPENSATOR 269 10.14 STABILITY OF DISCRETE-TIME SYSTEMS 271
10.15 A CONDITION FOR STABILITY 273 10.16 THE FREQUENCY RESPONSE 276
10.17 A BIT ABOUT ALIASING 278 10.18 THE BEHAVIOR OF THE SYSTEM IN THE
STEADY-STATE 278 10.19 THE BILINEAR TRANSFORM 279 10.20 THE BEHAVIOR OF
THE BILINEAR TRANSFORM AS T - 0 284 10.21 DIGITAL COMPENSATORS 285
10.22 WHEN IS THERE NO PULSE TRANSFER FUNCTION? 288 10.23 AN
INTRODUCTION TO THE MODIFIED Z-TRANSFORM 289 10.24 EXERCISES 291 11.
ANSWERS TO SELECTED EXERCISES 295 11.1 CHAPTER 1 295 11.1.1 PROBLEM 1
295 11.1.2 PROBLEM 3 296 11.1.3 PROBLEM 5 297 11.1.4 PROBLEM 7 298 11.2
CHAPTER 2 298 11.2.1 PROBLEM 1 298 11.2.2 PROBLEM 3 299 11.2.3 PROBLEM 5
300 11.2.4 PROBLEM 7 301 11.3 CHAPTER 3 303 11.3.1 PROBLEM 1 303 11.3.2
PROBLEM 3 304 A MATHEMATICAL INTRODUCTION TO CONTROL THEORY 11.3.3
PROBLEM 5 304 11.3.4 PROBLEM 7 305 11.4 CHAPTER 4 305 11.4.1 PROBLEM 1
305 11.4.2 PROBLEM 3 306 11.4.3 PROBLEM 5 307 11.4.4 PROBLEM 7 307
11.4.5 ? PROBLEM 9 309 11.5 CHAPTER 5 310 11.5.1 PROBLEM 1 * 310 11.5.2
PROBLEM 3 311 11.5.3 PROBLEM 5 311 11.5.4 PROBLEM 7 312 11.5.5 PROBLEM 9
314 11.5.6 PROBLEM 11 315 11.6 CHAPTER 6 316 11.6.1 PROBLEM 1 316 11.6.2
PROBLEM 3 316 11.6.3 PROBLEM 5 318 11.6.4 PROBLEM 7 319 11.6.5 PROBLEM 9
320 11.7 CHAPTER 7 322 11.7.1 PROBLEM 1 322 11.7.2 PROBLEM 3 324 11.7.3
PROBLEM 5 326 11.7.4 PROBLEM 7 327 11.7.5 PROBLEM 9 330 11.8 CHAPTER 8
332 11.8.1 PROBLEM 1 332 11.8.2 PROBLEM 3 335 11.8.3 PROBLEM 5 336
11.8.4 PROBLEM 7 337 11.9 CHAPTER 9 337 11.9.1 PROBLEM 6 337 11.9.2
PROBLEM 7 338 11.10 CHAPTER 10 339 11.10.1 PROBLEM 4 339 11.10.2 PROBLEM
10 339 11.10.3 PROBLEM 13 340 CONTENTS XVII 11.10.4 PROBLEM 16 342
11.10.5 PROBLEM 17 343 11.10.6 PROBLEM 19 343 BIBLIOGRAPHY 345 INDEX 347
|
| adam_txt |
S E R I E S I N E L E C T R I C A L A N D C O M P U T E R E N G I N E E
R I N G VOL.2 A MATHEMATICAL INTRODUCTION T O CONTROL THEORY SHLOMO
ENGELBERG JERUSALEM COLLEGE OF TECHNOLOGY, ISRAEL ICP IMPERIAL COLLEGE
PRESS CONTENTS PREFACE VII 1. MATHEMATICAL PRELIMINARIES 1 1.1 AN
INTRODUCTION TO THE LAPLACE TRANSFORM 1 1.2 PROPERTIES OF THE LAPLACE
TRANSFORM 2 1.3 FINDING THE INVERSE LAPLACE TRANSFORM 15 1.3.1 SOME
SIMPLE INVERSE TRANSFORMS 16 1.3.2 THE QUADRATIC DENOMINATOR 18 1.4
INTEGRO-DIFFERENTIAL EQUATIONS 20 1.5 AN INTRODUCTION TO STABILITY 25
1.5.1 SOME PRELIMINARY MANIPULATIONS 25 1.5.2 STABILITY 26 1.5.3 WHY WE
OBSESS ABOUT STABILITY 28 1.5.4 THE TACOMA NARROWS BRIDGE*A BRIEF CASE
HISTORY 29 1.6 MATLAB 29 1.6.1 ASSIGNMENTS 29 1.6.2 COMMANDS 31 1.7
EXERCISES 32 2. TRANSFER FUNCTIONS 35 2.1 TRANSFER FUNCTIONS 35 2.2 THE
FREQUENCY RESPONSE OF A SYSTEM 37 2.3 BODE PLOTS 40 2.4 THE TIME
RESPONSE OF CERTAIN "TYPICAL" SYSTEMS . . . . 42 2.4.1 FIRST ORDER
SYSTEMS 43 2.4.2 SECOND ORDER SYSTEMS 44 XII A MATHEMATICAL INTRODUCTION
TO CONTROL THEORY 2.5 THREE IMPORTANT DEVICES AND THEIR TRANSFER
FUNCTIONS . 46 2.5.1 THE OPERATIONAL AMPLIFIER (OP AMP) 46 2.5.2 THE DC
MOTOR 49 2.5.3 THE "SIMPLE SATELLITE" 50 2.6 BLOCK DIAGRAMS AND HOW TO
MANIPULATE THEM 51 2.7 A FINAL EXAMPLE 54 2.8 EXERCISES 57 3.
FEEDBACK*AN INTRODUCTION 61 3.1 WHY FEEDBACK*A FIRST VIEW 61 3.2
SENSITIVITY 62 3.3 MORE ABOUT SENSITIVITY 64 3.4 A SIMPLE EXAMPLE 65 3.5
SYSTEM BEHAVIOR AT DC 66 3.6 NOISE REJECTION 70 3.7 EXERCISES 71 4. THE
ROUTH-HURWITZ CRITERION 75 4.1 PROOF AND APPLICATIONS 75 4.2 A DESIGN
EXAMPLE 84 4.3 EXERCISES 87 5. THE PRINCIPLE OF THE ARGUMENT AND ITS
CONSEQUENCES 91 5.1 MORE ABOUT POLES IN THE RIGHT HALF PLANE 91 5.2 THE
PRINCIPLE OF THE ARGUMENT 92 5.3 THE PROOF OF THE PRINCIPLE OF THE
ARGUMENT 93 5.4 HOW ARE ENCIRCLEMENTS MEASURED? 95 5.5 FIRST
APPLICATIONS TO CONTROL THEORY 98 5.6 SYSTEMS WITH LOW-PASS OPEN-LOOP
TRANSFER FUNCTIONS . 100 5.7 MATLAB AND NYQUIST PLOTS 106 5.8 THE
NYQUIST PLOT AND DELAYS 107 5.9 DELAYS AND THE ROUTH-HURWITZ CRITERION
ILL 5.10 RELATIVE STABILITY 113 5.11 THE BODE PLOTS 118 5.12 AN
(APPROXIMATE) CONNECTION BETWEEN FREQUENCY SPECI- FICATIONS AND TIME
SPECIFICATION 119 5.13 SOME MORE EXAMPLES 122 5.14 EXERCISES 126
CONTENTS XIII 6. THE ROOT LOCUS DIAGRAM 131 6.1 THE ROOT LOCUS*AN
INTRODUCTION 131 6.2 RULES FOR PLOTTING THE ROOT LOCUS 133 6.2.1 THE
SYMMETRY OF THE ROOT LOCUS 133 6.2.2 BRANCHES ON THE REAL AXIS 134 6.2.3
THE ASYMPTOTIC BEHAVIOR OF THE BRANCHES . . . 135 6.2.4 DEPARTURE OF
BRANCHES FROM THE REAL AXIS . . . 138 6.2.5 A "CONSERVATION LAW" 143
6.2.6 THE BEHAVIOR OF BRANCHES AS THEY LEAVE FINITE POLES OR ENTER
FINITE ZEROS 144 6.2.7 A GROUP OF POLES AND ZEROS NEAR THE ORIGIN . .
145 6.3 SOME (SEMI-)PRACTICAL EXAMPLES 147 6.3.1 THE EFFECT OF ZEROS IN
THE RIGHT HALF-PLANE . 147 6.3.2 THE EFFECT OF THREE POLES AT THE
ORIGIN 148 6.3.3 THE EFFECT OF TWO POLES AT THE ORIGIN 150 6.3.4
VARIATIONS ON OUR THEME 150 6.3.5 THE EFFECT OF A DELAY ON THE ROOT
LOCUS PLOT . 153 6.3.6 THE PHASE-LOCK LOOP 156 6.3.7 SOUNDING A
CAUTIONARY NOTE*POLE-ZERO CANCELLATION 159 6.4 MORE ON THE BEHAVIOR OF
THE ROOTS OF Q{S)/K + P(S) = 0 161 6.5 EXERCISES 163 7. COMPENSATION 167
7.1 COMPENSATION*AN INTRODUCTION 167 7.2 THE ATTENUATOR 167 7.3
PHASE-LAG COMPENSATION 168 7.4 PHASE-LEAD COMPENSATION 175 7.5 LAG-LEAD
COMPENSATION 180 7.6 THE PID CONTROLLER 181 7.7 AN EXTENDED EXAMPLE 188
7.7.1 THE ATTENUATOR 189 7.7.2 THE PHASE-LAG COMPENSATOR 189 7.7.3 THE
PHASE-LEAD COMPENSATOR 191 7.7.4 THE LAG-LEAD COMPENSATOR 193 7.7.5 THE
PD CONTROLLER 195 7.8 EXERCISES 196 XIV A MATHEMATICAL INTRODUCTION TO
CONTROL THEORY 8. SOME NONLINEAR CONTROL THEORY 203 8.1 INTRODUCTION 203
8.2 THE DESCRIBING FUNCTION TECHNIQUE 204 8.2.1 THE DESCRIBING FUNCTION
CONCEPT 204 8.2.2 PREDICTING LIMIT CYCLES 207 8.2.3 THE STABILITY OF
LIMIT CYCLES 208 8.2.4 MORE EXAMPLES 211 8.I4.1 A NONLINEAR OSCILLATOR
211 8.2.4.2 A COMPARATOR WITH A DEAD ZONE 212 8.2.4.3 A SIMPLE QUANTIZER
213 8.2.5 GRAPHICAL METHOD 214 8.3 TSYPKIN'S METHOD 216 8.4 THE TSYPKIN
LOCUS AND THE DESCRIBING FUNCTION TECHNIQUE 221 8.5 EXERCISES 223 9. AN
INTRODUCTION TO MODERN CONTROL 227 9.1 INTRODUCTION 227 9.2 THE STATE
VARIABLES FORMALISM 227 9.3 SOLVING MATRIX DIFFERENTIAL EQUATIONS 229
9.4 THE SIGNIFICANCE OF THE EIGENVALUES OF THE MATRIX 230 9.5
UNDERSTANDING HOMOGENEOUS MATRIX DIFFERENTIAL EQUATIONS 232 9.6
UNDERSTANDING INHOMOGENEOUS EQUATIONS 233 9.7 THE CAYLEY-HAMILTON
THEOREM 234 9.8 CONTROLLABILITY 235 9.9 POLE PLACEMENT 236 9.10
OBSERVABILITY 237 9.11 EXAMPLES 238 9.11.1 POLE PLACEMENT 238 9.11.2
ADDING AN INTEGRATOR 240 9.11.3 MODERN CONTROL USING MATLAB 241 9.11.4 A
SYSTEM THAT IS NOT OBSERVABLE 242 9.11.5 A SYSTEM THAT IS NEITHER
OBSERVABLE NOR CONTROL- LABLE 244 9.12 CONVERTING TRANSFER FUNCTIONS TO
STATE EQUATIONS . . . . 245 9.13 SOME TECHNICAL RESULTS ABOUT SERIES OF
MATRICES 246 9.14 EXERCISES 248 10. CONTROL OF HYBRID SYSTEMS 251
CONTENTS XV 10.1 INTRODUCTION 251 10.2 THE DEFINITION OF THE Z-TRANSFORM
251 10.3 SOME EXAMPLES 252 10.4 PROPERTIES OF THE Z-TRANSFORM 253 10.5
SAMPLED-DATA SYSTEMS 257 10.6 THE SAMPLE-AND-HOLD ELEMENT 258 10.7 THE
DELTA FUNCTION AND ITS LAPLACE TRANSFORM 260 10.8 THE IDEAL SAMPLER 261
10.9 THE ZERO-ORDER HOLD 261 10.10 CALCULATING THE PULSE TRANSFER
FUNCTION 262 10.11 USING MATLAB TO PERFORM THE CALCULATIONS 266 10.12
THE TRANSFER FUNCTION OF A DISCRETE-TIME SYSTEM . . . . 268 10.13 ADDING
A DIGITAL COMPENSATOR 269 10.14 STABILITY OF DISCRETE-TIME SYSTEMS 271
10.15 A CONDITION FOR STABILITY 273 10.16 THE FREQUENCY RESPONSE 276
10.17 A BIT ABOUT ALIASING 278 10.18 THE BEHAVIOR OF THE SYSTEM IN THE
STEADY-STATE 278 10.19 THE BILINEAR TRANSFORM 279 10.20 THE BEHAVIOR OF
THE BILINEAR TRANSFORM AS T - 0 284 10.21 DIGITAL COMPENSATORS 285
10.22 WHEN IS THERE NO PULSE TRANSFER FUNCTION? 288 10.23 AN
INTRODUCTION TO THE MODIFIED Z-TRANSFORM 289 10.24 EXERCISES 291 11.
ANSWERS TO SELECTED EXERCISES 295 11.1 CHAPTER 1 295 11.1.1 PROBLEM 1
295 11.1.2 PROBLEM 3 296 11.1.3 PROBLEM 5 297 11.1.4 PROBLEM 7 298 11.2
CHAPTER 2 298 11.2.1 PROBLEM 1 298 11.2.2 PROBLEM 3 299 11.2.3 PROBLEM 5
300 11.2.4 PROBLEM 7 301 11.3 CHAPTER 3 303 11.3.1 PROBLEM 1 303 11.3.2
PROBLEM 3 304 A MATHEMATICAL INTRODUCTION TO CONTROL THEORY 11.3.3
PROBLEM 5 304 11.3.4 PROBLEM 7 305 11.4 CHAPTER 4 305 11.4.1 PROBLEM 1
305 11.4.2 PROBLEM 3 306 11.4.3 PROBLEM 5 307 11.4.4 PROBLEM 7 307
11.4.5 ? PROBLEM 9 309 11.5 CHAPTER 5 310 11.5.1 PROBLEM 1 * 310 11.5.2
PROBLEM 3 311 11.5.3 PROBLEM 5 311 11.5.4 PROBLEM 7 312 11.5.5 PROBLEM 9
314 11.5.6 PROBLEM 11 315 11.6 CHAPTER 6 316 11.6.1 PROBLEM 1 316 11.6.2
PROBLEM 3 316 11.6.3 PROBLEM 5 318 11.6.4 PROBLEM 7 319 11.6.5 PROBLEM 9
320 11.7 CHAPTER 7 322 11.7.1 PROBLEM 1 322 11.7.2 PROBLEM 3 324 11.7.3
PROBLEM 5 326 11.7.4 PROBLEM 7 327 11.7.5 PROBLEM 9 330 11.8 CHAPTER 8
332 11.8.1 PROBLEM 1 332 11.8.2 PROBLEM 3 335 11.8.3 PROBLEM 5 336
11.8.4 PROBLEM 7 337 11.9 CHAPTER 9 337 11.9.1 PROBLEM 6 337 11.9.2
PROBLEM 7 338 11.10 CHAPTER 10 339 11.10.1 PROBLEM 4 339 11.10.2 PROBLEM
10 339 11.10.3 PROBLEM 13 340 CONTENTS XVII 11.10.4 PROBLEM 16 342
11.10.5 PROBLEM 17 343 11.10.6 PROBLEM 19 343 BIBLIOGRAPHY 345 INDEX 347 |
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| author | Engelberg, Shlomo |
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| ctrlnum | (OCoLC)61915944 (DE-599)BVBBV021520116 |
| dewey-full | 515.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline_str_mv | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| genre | (DE-588)4151278-9 Einführung gnd-content |
| genre_facet | Einführung |
| id | DE-604.BV021520116 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:22:17Z |
| indexdate | 2024-07-09T20:37:41Z |
| institution | BVB |
| isbn | 1860945708 9781860945700 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014736622 |
| oclc_num | 61915944 |
| open_access_boolean | |
| owner | DE-703 DE-573 DE-83 |
| owner_facet | DE-703 DE-573 DE-83 |
| physical | XVII, 350 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Imperial College Press |
| record_format | marc |
| series | Series in electrical and computer engineering |
| series2 | Series in electrical and computer engineering |
| spelling | Engelberg, Shlomo Verfasser aut A mathematical introduction to control theory Shlomo Engelberg London Imperial College Press 2005 XVII, 350 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Series in electrical and computer engineering 2 Control theory Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Kontrolltheorie (DE-588)4032317-1 s DE-604 Series in electrical and computer engineering 2 (DE-604)BV023032816 2 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014736622&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Engelberg, Shlomo A mathematical introduction to control theory Series in electrical and computer engineering Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4151278-9 |
| title | A mathematical introduction to control theory |
| title_auth | A mathematical introduction to control theory |
| title_exact_search | A mathematical introduction to control theory |
| title_exact_search_txtP | A mathematical introduction to control theory |
| title_full | A mathematical introduction to control theory Shlomo Engelberg |
| title_fullStr | A mathematical introduction to control theory Shlomo Engelberg |
| title_full_unstemmed | A mathematical introduction to control theory Shlomo Engelberg |
| title_short | A mathematical introduction to control theory |
| title_sort | a mathematical introduction to control theory |
| topic | Control theory Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Control theory Kontrolltheorie Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014736622&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV023032816 |
| work_keys_str_mv | AT engelbergshlomo amathematicalintroductiontocontroltheory |