Holdings: L 2 gain and passivity techniques in nonlinear control

L 2 gain and passivity techniques in nonlinear control:

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Bibliographic Details
Main Author:	Schaft, Arjan van der (Author)
Format:	Book
Language:	English
Published:	London [u.a.] Springer 2000
Edition:	2. ed.
Series:	Communications and control engineering
Subjects:	Commande non linéaire Systèmes non linéaires Systèmes à réaction Hamiltonsches System H-unendlich-Kontrolltheorie Nichtlineare Regelung Dissipatives System Hamilton-Jacobi-Differentialgleichung Kontrolltheorie Hardy-Raum
Online Access:	Inhaltsverzeichnis
Item Description:	Literaturverz. S. 229 - 246
Physical Description:	XII, 249 S. graph. Darst.
ISBN:	1852330732

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adam_text	ARJAN VAN DER SCHAFT L 2 - GAIN AND PASSIVITY TECHNIQUES IN NONLINEAR CONTROL WITH 27 FIGURES MS SPRINGER CONTENTS 1 INPUT-OUTPUT STABILITY 1 1.1 L G -SPACES AND THEIR EXTENSIONS; INPUT-OUTPUT MAPS 1 1.2 LQ-STABILITY AND L 9 -GAIN; CLOSED-LOOP STABILITY 4 1.3 NOTES FOR CHAPTER 1 9 2 SMALL-GAIN AND PASSIVITY OF INPUT-OUTPUT MAPS 11 2.1 THE SMALL-GAIN THEOREM 11 2.2 PASSIVITY AND THE PASSIVITY THEOREM 14 2.3 RELATION BETWEEN PASSIVITY AND Z,2-GAIN 23 2.4 NOTES FOR CHAPTER 2 27 3 DISSIPATIVE SYSTEMS THEORY 31 3.1 DISSIPATIVE SYSTEMS 31 3.2 STABILITY OF DISSIPATIVE SYSTEMS 37 3.3 STABILIZATION OF PASSIVE SYSTEMS 44 3.4 THE SMALL-GAIN AND PASSIVITY THEOREMS REVISITED 45 3.4.1 INTERCONNECTION OF PASSIVE SYSTEMS 46 3.4.2 THE SMALL-GAIN THEOREM 50 3.5 DISSIPATIVITY AND OPTIMAL CONTROL 56 3.6 NOTES FOR CHAPTER 3 58 4 HARR.ILTONIAN SYSTEMS AS PASSIVE SYSTEMS 63 4.1 EULER-LAGRANGE EQUATIONS AND PASSIVITY 63 4.1.1 TRACKING CONTROL OF A ROBOT MANIPULATOR 68 4.1.2 PASSIVITY AND RIEMANNIAN GEOMETRY 69 4.2 HAMILTONIAN CONTROL SYSTEMS 72 4.2.1 PORT-CONTROLLED HAMILTONIAN SYSTEMS 72 4.2.2 PROPERTIES OF PORT-CONTROLLED HAMILTONIAN SYSTEMS . . 80 4.2.3 PORT-CONTROLLED HAMILTONIAN SYSTEMS WITH DISSIPATION . 85 4.2.4 STABILIZATION BY DAMPING INJECTION 90 XII CONTENTS 4.3 CONTROL OF PORT-CONTROLLED HAMILTONIAN SYSTEMS WITH DISSIPATION 92 4.3.1 CONTROL BY INTERCONNECTION 92 4.3.2 PASSIVITY-BASED CONTROL OF PORT-CONTROLLED HAMILTONIAN SYSTEMS WITH DISSIPATION 102 4.4 IMPLICIT PORT-CONTROLLED HAMILTONIAN SYSTEMS 109 4.4.1 POWER-CONSERVING INTERCONNECTIONS 109 4.4.2 IMPLICIT PORT-CONTROLLED HAMILTONIAN SYSTEMS 112 4.4.3 SCATTERING REPRESENTATIONS OF POWER-CONSERVING INTER- CONNECTIONS 117 4.5 NOTES FOR CHAPTER 4 121 5 PASSIVITY BY FEEDBACK 125 5.1 FEEDBACK EQUIVALENCE TO A PASSIVE SYSTEM 125 5.2 STABILIZATION OF CASCADED SYSTEMS 130 5.3 NOTES FOR CHAPTER 5 136 6 FACTORIZATIONS OF NONLINEAR SYSTEMS 137 6.1 STABLE KERNEL AND IMAGE REPRESENTATIONS; L2-GAIN PERTURBATION MODEIS 137 6.1.1 STABLE KERNEL AND IMAGE REPRESENTATIONS 137 6.1.2 L2-GAIN PERTURBATION MODEIS 144 6.2 STABLE KERNEL REPRESENTATIONS AND PARAMETRIZATION OF STABILIZ- ING CONTROLLERS 146 6.3 ALL-PASS FACTORIZATIONS 154 6.4 NOTES FOR CHAPTER 6 159 7 NONLINEAR H^ CONTRO L 163 7.1 STATE FEEDBACK H^ CONTROL 164 7.2 OUTPUT FEEDBACK HX CONTROL 175 7.3 NOTES FOR CHAPTER 7 189 8 HAMILTON-JACOBI INEQUALITIES 193 8.1 SOLVABILITY OF HAMILTON-JACOBI INEQUALITIES 193 8.2 AN ASIDE ON OPTIMAL CONTROL 205 8.3 DISSIPATIVITY OF A NONLINEAR SYSTEM AND ITS LINEARIZATION .... 211 8.4 !H X CONTROL OF A NONLINEAR SYSTEM AND ITS LINEARIZATION 216 8.5 NOTES FOR CHAPTER 8 226 BIBLIOGRAPHY 229 INDEX 247
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author	Schaft, Arjan van der
author_facet	Schaft, Arjan van der
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author_sort	Schaft, Arjan van der
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dewey-full	629.836
dewey-hundreds	600 - Technology (Applied sciences)
dewey-ones	629 - Other branches of engineering
dewey-raw	629.836
dewey-search	629.836
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dewey-tens	620 - Engineering and allied operations
discipline	Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik
edition	2. ed.
format	Book
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isbn	1852330732
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series2	Communications and control engineering
spelling	Schaft, Arjan van der Verfasser aut L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft 2. ed. London [u.a.] Springer 2000 XII, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Communications and control engineering Literaturverz. S. 229 - 246 Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd rswk-swf Nichtlineare Regelung (DE-588)4132964-8 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Hardy-Raum (DE-588)4159109-4 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Dissipatives System (DE-588)4209641-8 s H-unendlich-Kontrolltheorie (DE-588)4488490-4 s DE-604 Kontrolltheorie (DE-588)4032317-1 s Hardy-Raum (DE-588)4159109-4 s 1\p DE-604 Nichtlineare Regelung (DE-588)4132964-8 s 2\p DE-604 Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 s 3\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008638629&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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Schaft, Arjan van der L 2 gain and passivity techniques in nonlinear control Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Dissipatives System (DE-588)4209641-8 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd Kontrolltheorie (DE-588)4032317-1 gnd Hardy-Raum (DE-588)4159109-4 gnd
subject_GND	(DE-588)4139943-2 (DE-588)4488490-4 (DE-588)4132964-8 (DE-588)4209641-8 (DE-588)4158954-3 (DE-588)4032317-1 (DE-588)4159109-4
title	L 2 gain and passivity techniques in nonlinear control
title_auth	L 2 gain and passivity techniques in nonlinear control
title_exact_search	L 2 gain and passivity techniques in nonlinear control
title_full	L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft
title_fullStr	L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft
title_full_unstemmed	L 2 gain and passivity techniques in nonlinear control Arjan van der Schaft
title_short	L 2 gain and passivity techniques in nonlinear control
title_sort	l 2 gain and passivity techniques in nonlinear control
topic	Commande non linéaire ram Systèmes non linéaires ram Systèmes à réaction ram Hamiltonsches System (DE-588)4139943-2 gnd H-unendlich-Kontrolltheorie (DE-588)4488490-4 gnd Nichtlineare Regelung (DE-588)4132964-8 gnd Dissipatives System (DE-588)4209641-8 gnd Hamilton-Jacobi-Differentialgleichung (DE-588)4158954-3 gnd Kontrolltheorie (DE-588)4032317-1 gnd Hardy-Raum (DE-588)4159109-4 gnd
topic_facet	Commande non linéaire Systèmes non linéaires Systèmes à réaction Hamiltonsches System H-unendlich-Kontrolltheorie Nichtlineare Regelung Dissipatives System Hamilton-Jacobi-Differentialgleichung Kontrolltheorie Hardy-Raum
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008638629&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT schaftarjanvander l2gainandpassivitytechniquesinnonlinearcontrol

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