Verfügbarkeit: Optimal control applied to biological models

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Bibliographische Detailangaben
Beteiligte Personen:	Lenhart, Suzanne M. (VerfasserIn), Workman, John T. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Boca Raton Chapman & Hall/CRC 2007
Schriftenreihe:	Chapman & Hall/CRC mathematical and computational biology series 15
Schlagwörter:	Modèles biologiques - Manuels d'enseignement supérieur Optimisation mathématique - Manuels d'enseignement supérieur Théorie de la commande - Manuels d'enseignement supérieur Biological models > Textbooks Mathematical optimization > Textbooks Control theory > Textbooks Optimierung Optimale Kontrolle Biologisches System Numerisches Modell
Links:	http://www.loc.gov/catdir/toc/ecip078/2007000973.html http://www.loc.gov/catdir/enhancements/fy0705/2007000973-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016081525&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes bibliographical references (p. [245]-257) and index
Umfang:	XII, 261 S. Ill., graph. Darst. 25 cm
ISBN:	9781584886402 1584886404

Internformat

MARC


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Datensatz im Suchindex

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adam_text	Contents Preface xi 1 Basic Optimal Control Problems 1 1.1 Preliminaries 4 1.2 The Basic Problem and Necessary Conditions 7 1.3 Pontryagin s Maximum Principle 12 1.4 Exercises 18 2 Existence and Other Solution Properties 21 2.1 Existence and Uniqueness Results 23 2.2 Interpretation of the Adjoint 26 2.3 Principle of Optimality 28 2.4 The Hamiltonian and Autonomous Problems 31 2.5 Exercises 35 3 State Conditions at the Final Time 37 3.1 Payoff Terms 37 3.2 States with Fixed Endpoints 41 3.3 Exercises 46 4 Forward Backward Sweep Method 49 5 Lab 1: Introductory Example 57 6 Lab 2: Mold and Fungicide 63 7 Lab 3: Bacteria 67 8 Bounded Controls 71 8.1 Necessary Conditions 73 8.2 Numerical Solutions 81 8.3 Exercises 83 9 Lab 4: Bounded Case 85 10 Lab 5: Cancer 89 11 Lab 6: Fish Harvesting 93 viii 12 Optimal Control of Several Variables 97 12.1 Necessary Conditions 97 12.2 Linear Quadratic Regulator Problems 104 12.3 Higher Order Differential Equations 107 12.4 Isoperimetric Constraints 108 12.5 Numerical Solutions 112 12.6 Exercises 113 13 Lab 7: Epidemic Model 117 14 Lab 8: HIV Treatment 123 15 Lab 9: Bear Populations 129 16 Lab 10: Glucose Model 135 17 Linear Dependence on the Control 139 17.1 Bang Bang Controls 139 17.2 Singular Controls 143 17.3 Exercises 151 18 Lab 11: Timber Harvesting 153 19 Lab 12: Bioreactor 157 20 Free Terminal Time Problems 163 20.1 Necessary Conditions 163 20.2 Time Optimal Control 168 20.3 Exercises 173 21 Adapted Forward Backward Sweep 175 21.1 Secant Method 175 21.2 One State with Fixed Endpoints 177 21.3 Nonlinear Payoff Terms 182 21.4 Free Terminal Time 183 21.5 Multiple Shots 184 21.6 Exercises 187 22 Lab 13: Predator Prey Model 189 23 Discrete Time Models 193 23.1 Necessary Conditions 193 23.2 Systems Case 199 23.3 Exercises 202 24 Lab 14: Invasive Plant Species 205 ix 25 Partial Differential Equation Models 211 25.1 Existence of an Optimal Control 212 25.2 Sensitivities and Necessary Conditions 213 25.3 Uniqueness of the Optimal Control 215 25.4 Numerical Solutions 215 25.5 Harvesting Example 216 25.6 Beaver Example 220 25.7 Predator Prey Example 223 25.8 Identification Example 228 25.9 Controlling Boundary Terms 231 25.10 Exercises 234 26 Other Approaches and Extensions 237 References 245 Index 259
any_adam_object	1
author	Lenhart, Suzanne M. Workman, John T.
author_facet	Lenhart, Suzanne M. Workman, John T.
author_role	aut aut
author_sort	Lenhart, Suzanne M.
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dewey-tens	570 - Biology
discipline	Biologie Mathematik
format	Book
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isbn	9781584886402 1584886404
language	English
lccn	2007000973
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016081525
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owner	DE-859 DE-M49 DE-BY-TUM DE-703 DE-83
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physical	XII, 261 S. Ill., graph. Darst. 25 cm
publishDate	2007
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publisher	Chapman & Hall/CRC
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series	Chapman & Hall/CRC mathematical and computational biology series
series2	Chapman & Hall/CRC mathematical and computational biology series
spellingShingle	Lenhart, Suzanne M. Workman, John T. Optimal control applied to biological models Chapman & Hall/CRC mathematical and computational biology series Modèles biologiques - Manuels d'enseignement supérieur Optimisation mathématique - Manuels d'enseignement supérieur Théorie de la commande - Manuels d'enseignement supérieur Biological models Textbooks Mathematical optimization Textbooks Control theory Textbooks Optimierung (DE-588)4043664-0 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Biologisches System (DE-588)4122930-7 gnd Numerisches Modell (DE-588)4338132-7 gnd
subject_GND	(DE-588)4043664-0 (DE-588)4121428-6 (DE-588)4122930-7 (DE-588)4338132-7
title	Optimal control applied to biological models
title_auth	Optimal control applied to biological models
title_exact_search	Optimal control applied to biological models
title_full	Optimal control applied to biological models Suzanne Lenhart, John T. Workman
title_fullStr	Optimal control applied to biological models Suzanne Lenhart, John T. Workman
title_full_unstemmed	Optimal control applied to biological models Suzanne Lenhart, John T. Workman
title_short	Optimal control applied to biological models
title_sort	optimal control applied to biological models
topic	Modèles biologiques - Manuels d'enseignement supérieur Optimisation mathématique - Manuels d'enseignement supérieur Théorie de la commande - Manuels d'enseignement supérieur Biological models Textbooks Mathematical optimization Textbooks Control theory Textbooks Optimierung (DE-588)4043664-0 gnd Optimale Kontrolle (DE-588)4121428-6 gnd Biologisches System (DE-588)4122930-7 gnd Numerisches Modell (DE-588)4338132-7 gnd
topic_facet	Modèles biologiques - Manuels d'enseignement supérieur Optimisation mathématique - Manuels d'enseignement supérieur Théorie de la commande - Manuels d'enseignement supérieur Biological models Textbooks Mathematical optimization Textbooks Control theory Textbooks Optimierung Optimale Kontrolle Biologisches System Numerisches Modell
url	http://www.loc.gov/catdir/toc/ecip078/2007000973.html http://www.loc.gov/catdir/enhancements/fy0705/2007000973-d.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016081525&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV021728115
work_keys_str_mv	AT lenhartsuzannem optimalcontrolappliedtobiologicalmodels AT workmanjohnt optimalcontrolappliedtobiologicalmodels

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