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Nonlinear systems:

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Main Author:	Khalil, Hassan K. 1950- (Author)
Format:	Book
Language:	English
Published:	Upper Saddle River, New Jersey Prentice Hall [2002]
Edition:	Third edition
Subjects:	Nonlinear theories Nichtlineares System Regelungstheorie Lehrbuch
Online Access:	Inhaltsverzeichnis
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references (p. 725-739) and indexes
Physical Description:	xv, 750 Seiten Illustrationen, Diagramme
ISBN:	0130673897

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MARC


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Record in the Search Index

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adam_text	NONLINEAR SYSTEMS THIRD EDITION HASSAN K. KHALIL DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING MICHIGAN STATE UNIVERSITY PRENTICE HALL PRENTICE HALL UPPER SADDLE RIVER, NEW JERSEY 07458 CONTENTS PREFACE XIII 1 INTRODUCTION 1 1.1 NONLINEAR MODELS AND NONLINEAR PHENOMENA L 1 1.2 EXAMPLES 5 1.2.1 PENDULUM EQUATION 5 1.2.2 TUNNEL-DIODE CIRCUIT 6 1.2.3 MASS-SPRING SYSTEM 8 1.2.4 NEGATIVE-RESISTANCE OSCILLATOR 11 1.2.5 ARTIFICIAL NEURAL NETWORK 14 1.2.6 ADAPTIVE CONTROL 16 1.2.7 COMMON NONLINEARITIES 18 1.3 EXERCISES 24 2 SECOND-ORDER SYSTEMS 35 2.1 QUALITATIVE BEHAVIOR OF LINEAR SYSTEMS 37 2.2 MULTIPLE EQUILIBRIA 46 2.3 QUALITATIVE BEHAVIOR NEAR EQUILIBRIUM POINTS 51 2.4 LIMIT CYCLES 54 2.5 NUMERICAL CONSTRUCTION OF PHASE PORTRAITS 59 2.6 EXISTENCE OF PERIODIC ORBITS 61 2.7 BIFURCATION 69 2.8 EXERCISES 76 3 FUNDAMENTAL PROPERTIES 87 3.1 EXISTENCE AND UNIQUENESS 88 3.2 CONTINUOUS DEPENDENCE ON INITIAL CONDITIONS AND PARAMETERS 95 3.3 DIFFERENTIABILITY OF SOLUTIONS AND SENSITIVITY EQUATIONS 99 3.4 COMPARISON PRINCIPLE 102 3.5 EXERCISES 105 VII VIII CONTENTS 4 LYAPUNOV STABILITY 111 4.1 AUTONOMOUS SYSTEMS 112 4.2 THE INVARIANCE PRINCIPLE 126 4.3 LINEAR SYSTEMS AND LINEARIZATION 133 4.4 COMPARISON FUNCTIONS 144 4.5 NONAUTONOMOUS SYSTEMS 147 4.6 LINEAR TIME-VARYING SYSTEMS AND LINEARIZATION 156 4.7 CONVERSE THEOREMS 162 4.8 BOUNDEDNESS AND ULTIMATE BOUNDEDNESS 168 4.9 IN PUT-TO-STATE STABILITY 174 4.10 EXERCISES 181 5 INPUT-OUTPUT STABILITY 195 5.1 C STABILITY .195 5.2 C STABILITY OF STATE MODELS 201 5.3 2 GAIN 209 5.4 FEEDBACK SYSTEMS: THE SMALL-GAIN THEOREM 217 5.5 EXERCISES 222 6 PASSIVITY 227 6.1 MEMORYLESS FUNCTIONS 228 6.2 STATE MODELS 233 6.3 POSITIVE REAL TRANSFER FUNCTIONS 237 6.4 2 AND LYAPUNOV STABILITY 241 6.5 FEEDBACK SYSTEMS: PASSIVITY THEOREMS 245 6.6 EXERCISES 259 7 FREQUENCY DOMAIN ANALYSIS OF FEEDBACK SYSTEMS 263 7.1 ABSOLUTE STABILITY 264 7.1.1 CIRCLE CRITERION 265 7.1.2 POPOV CRITERION 275 7.2 THE DESCRIBING FUNCTION METHOD 280 7.3 EXERCISES 296 8 ADVANCED STABILITY ANALYSIS 303 8.1 THE CENTER MANIFOLD THEOREM 303 8.2 REGION OF ATTRACTION 312 8.3 INVARIANCE-LIKE THEOREMS 322 8.4 STABILITY OF PERIODIC SOLUTIONS 329 8.5 EXERCISES 334 CONTENTS IX 9 STABILITY OF PERTURBED SYSTEMS 339 9.1 VANISHING PERTURBATION 340 9.2 NONVANISHING PERTURBATION 346 9.3 COMPARISON METHOD 350 9.4 CONTINUITY OF SOLUTIONS ON THE INFINITE INTERVAL 355 9.5 INTERCONNECTED SYSTEMS 358 9.6 SLOWLY VARYING SYSTEMS 365 9.7 EXERCISES 372 10 PERTURBATION THEORY AND AVERAGING 381 10.1 THE PERTURBATION METHOD 382 10.2 PERTURBATION ON THE INFINITE INTERVAL 393 10.3 PERIODIC PERTURBATION OF AUTONOMOUS SYSTEMS 397 10.4 AVERAGING 402 10.5 WEAKLY NONLINEAR SECOND-ORDER OSCILLATORS 411 10.6 GENERAL AVERAGING 413 10.7 EXERCISES 419 11 SINGULAR PERTURBATIONS 423 11.1 THE STANDARD SINGULAR PERTURBATION MODEL 424 11.2 TIME-SCALE PROPERTIES OF THE STANDARD MODEL 430 11.3 SINGULAR PERTURBATION ON THE INFINITE INTERVAL 439 11.4 SLOW AND FAST MANIFOLDS 443 11.5 STABILITY ANALYSIS 449 11.6 EXERCISES 460 12 FEEDBACK CONTROL 469 12.1 CONTROL PROBLEMS 469 12.2 STABILIZATION VIA LINEARIZATION 475 12.3 INTEGRAL CONTROL 478 12.4 INTEGRAL CONTROL VIA LINEARIZATION 481 12.5 GAIN SCHEDULING 485 12.6 EXERCISES 499 13 FEEDBACK LINEARIZATION 505 13.1 MOTIVATION 505 13.2 INPUT-OUTPUT LINEARIZATION 509 13.3 FULL-STATE LINEARIZATION 521 13.4 STATE FEEDBACK CONTROL 530 13.4.1 STABILIZATION 530 13.4.2 TRACKING 540 13.5 EXERCISES 544 X CONTENTS 14 NONLINEAR DESIGN TOOLS 551 14.1 SLIDING MODE CONTROL 552 14.1.1 MOTIVATING EXAMPLE 552 14.1.2 STABILIZATION 563 14.1.3 TRACKING 572 14.1.4 REGULATION VIA INTEGRAL CONTROL 575 14.2 LYAPUNOV REDESIGN 579 14.2.1 STABILIZATION 579 14.2.2 NONLINEAR DAMPING 588 14.3 BACKSTEPPING 589 14.4 PASSIVITY-BASED CONTROL 604 14.5 HIGH-GAIN OBSERVERS 610 14.5.1 MOTIVATING EXAMPLE 612 14.5.2 STABILIZATION 619 14.5.3 REGULATION VIA INTEGRAL CONTROL 623 14.6 EXERCISES 625 A MATHEMATICAL REVIEW 647 B CONTRACTION MAPPING 653 C PROOFS 657 C.I PROOF OF THEOREMS 3.1 AND 3.2 657 C.2 PROOF OF LEMMA 3.4 659 C.3 PROOF OF LEMMA 4.1 661 C.4 PROOF OF LEMMA 4.3 662 C.5 PROOF OF LEMMA 4.4 662 C.6 PROOF OF LEMMA 4.5 663 C.7 PROOF OF THEOREM 4.16 665 C.8 PROOF OF THEOREM 4.17 669 C.9 PROOF OF THEOREM 4.18 . . 675 CIO PROOF OF THEOREM 5.4 676 C.LL PROOF OF LEMMA 6.1 677 C.12 PROOF OF LEMMA 6.2 680 C.13 PROOF OF LEMMA 7.1 684 C.14 PROOF OF THEOREM 7.4 688 C.15 PROOF OF THEOREMS 8.1 AND 8.3 690 C.16 PROOF OF LEMMA 8.1 699 C.17 PROOF OF THEOREM 11.1 700 C.18 PROOF OF THEOREM 11.2 706 C.19 PROOF OF THEOREM 12.1 708 C.20 PROOF OF THEOREM 12.2 709 C.21 PROOF OF THEOREM 13.1 710 C.22 PROOF OF THEOREM 13.2 712 CONTENTS XI C.23 PROOF OF THEOREM 14.6 713 NOTE AND REFERENCES 719 BIBLIOGRAPHY 724 SYMBOLS 740 INDEX 742
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author	Khalil, Hassan K. 1950-
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discipline	Informatik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik
edition	Third edition
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spelling	Khalil, Hassan K. 1950- Verfasser (DE-588)172184630 aut Nonlinear systems Hassan K. Khalil, Department of Electrical and Computer Engineering Michigan State University Third edition Upper Saddle River, New Jersey Prentice Hall [2002] xv, 750 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Includes bibliographical references (p. 725-739) and indexes Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Regelungstheorie (DE-588)4122327-5 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Nichtlineares System (DE-588)4042110-7 s DE-604 Regelungstheorie (DE-588)4122327-5 s 2\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012949519&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Khalil, Hassan K. 1950- Nonlinear systems Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd Regelungstheorie (DE-588)4122327-5 gnd
subject_GND	(DE-588)4042110-7 (DE-588)4122327-5 (DE-588)4123623-3
title	Nonlinear systems
title_auth	Nonlinear systems
title_exact_search	Nonlinear systems
title_full	Nonlinear systems Hassan K. Khalil, Department of Electrical and Computer Engineering Michigan State University
title_fullStr	Nonlinear systems Hassan K. Khalil, Department of Electrical and Computer Engineering Michigan State University
title_full_unstemmed	Nonlinear systems Hassan K. Khalil, Department of Electrical and Computer Engineering Michigan State University
title_short	Nonlinear systems
title_sort	nonlinear systems
topic	Nonlinear theories Nichtlineares System (DE-588)4042110-7 gnd Regelungstheorie (DE-588)4122327-5 gnd
topic_facet	Nonlinear theories Nichtlineares System Regelungstheorie Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=012949519&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT khalilhassank nonlinearsystems

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