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|b .H376 2019
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|a 629.8312
|2 23
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|a UAMI
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|a Harmand, Jérôme.
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|a Optimal Control in Bioprocesses :
|b Pontryagin's Maximum Principle in Practice.
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|a Somerset :
|b John Wiley & Sons, Incorporated,
|c 2019.
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|a 1 online resource (263 pages)
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Print version record.
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|a Cover; Half-Title Page; Title Page; Copyright Page; Contents; Introduction; PART 1: Learning to use Pontryagin's Maximum Principle; 1. The Classical Calculus of Variations; 1.1. Introduction: notations; 1.2. Minimizing a function; 1.2.1. Minimum of a function of one variable; 1.2.2. Minimum of a function of two variables; 1.3. Minimization of a functional: Euler-Lagrange equations; 1.3.1. The problem; 1.3.2. The differential of J; 1.3.3. Examples; 1.4. Hamilton's equations; 1.4.1. Hamilton's classical equations
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|a 1.4.2. The limitations of classical calculus of variations and small steps toward the control theory1.5. Historical and bibliographic observations; 2. Optimal Control; 2.1. The vocabulary of optimal control theory; 2.1.1. Controls and responses; 2.1.2. Class of regular controls; 2.1.3. Reachable states; 2.1.4. Controllability; 2.1.5. Optimal control; 2.1.6. Existence of a minimum; 2.1.7. Optimization and reachable states; 2.2. Statement of Pontryagin's maximum principle; 2.2.1. PMP for the "canonical" problem; 2.2.2. PMP for an integral cost; 2.2.3. The PMP for the minimum-time problem
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|a 2.2.4. PMP in fixed terminal time and integral cost2.2.5. PMP for a non-punctual target; 2.3. PMP without terminal constraint; 2.3.1. Statement; 2.3.2. Corollary; 2.3.3. Dynamic programming and interpretation of the adjoint vector; 3. Applications; 3.1. Academic examples (to facilitate understanding); 3.1.1. The driver in a hurry; 3.1.2. Profile of a road; 3.1.3. Controlling the harmonic oscillator: the swing (problem); 3.1.4. The Fuller phenomenon; 3.2. Regular problems; 3.2.1. A regular Hamiltonian and the associated shooting method
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|a 3.2.2. The geodesic problem (seen as a minimum-time problem)3.2.3. Regularization of the problem of the driver in a hurry; 3.3. Non-regular problems and singular arcs; 3.3.1. Optimal fishing problem; 3.3.2. Discontinuous value function: the Zermelo navigation problem; 3.4. Synthesis of the optimal control, discontinuity of the value function, singular arcs and feedback; 3.5. Historical and bibliographic observations; PART 2: Applications in Process Engineering; 4. Optimal Filling of a Batch Reactor; 4.1. Reducing the problem; 4.2. Comparison with Bang-Bang policies
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|a 6. Optimization of a Membrane Bioreactor (MBR)
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590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Control theory.
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650 |
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|a Théorie de la commande.
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650 |
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|a Control theory
|2 fast
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700 |
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|a Lobry, Claude.
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700 |
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|a Rapaport, Alain.
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700 |
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|a Sari, Tewfik.
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758 |
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|i has work:
|a Optimal control in bioprocesses (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGMJ3chkMRp3KJjwbwCDHK
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
0 |
8 |
|i Print version:
|a Harmand, Jérôme.
|t Optimal Control in Bioprocesses : Pontryagin's Maximum Principle in Practice.
|d Somerset : John Wiley & Sons, Incorporated, ©2019
|z 9781786300454
|
856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5723096
|z Texto completo
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880 |
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|6 505-00/(S
|a 4.3. Optimal synthesis in the case of Monod4.4. Optimal synthesis in the case of Haldane; 4.4.1. Existence of an arc that (partially) separates Θ+ and Θ−; 4.4.2. Using PMP; 4.5. Historical and bibliographic observations; 5. Optimizing Biogas Production; 5.1. The problem; 5.2. Optimal solution in a well-dimensioned case; 5.3. The Hamiltonian system; 5.4. Optimal solutions in the underdimensioned case; 5.5. Optimal solutions in the overdimensioned case; 5.6. Inhibition by the substrate; 5.7. Singular arcs; 5.8. Historical and bibliographic observations
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|a ProQuest Ebook Central
|b EBLB
|n EBL5723096
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994 |
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|a 92
|b IZTAP
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