The Resource Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences, by Aziz Belmiloudi, (electronic resource)

Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences, by Aziz Belmiloudi, (electronic resource)

Label
Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences
Title
Stabilization, Optimal and Robust Control
Title remainder
Theory and Applications in Biological and Physical Sciences
Statement of responsibility
by Aziz Belmiloudi
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Systems governed by nonlinear partial differential equations (PDEs) arise in many spheres of study. The stabilization and control of such systems, which are the focus of this book, are based around game theory. The robust control methods proposed here have the twin aims of compensating for system disturbances in such a way that a cost function achieves its minimum for the worst disturbances and providing the best control for stabilizing fluctuations with a limited control effort. Stabilization, Optimal and Robust Control develops robust control of infinite-dimensional dynamical systems derived from time-dependent coupled PDEs associated with boundary-value problems. Rigorous analysis takes into account nonlinear system dynamics, evolutionary and coupled PDE behaviour and the selection of function spaces in terms of solvability and model quality. Mathematical foundations essential for the required analysis are provided so that the book remains accessible to the non-control-specialist. Following chapters giving a general view of convex analysis and optimization and robust and optimal control, problems arising in fluid-mechanical, biological and materials-scientific systems are laid out in detail; specifically: • mathematical treatment of nonlinear evolution systems (with and without time-varying delays); • vortex dynamics in superconducting films and solidification of binary alloys; • large-scale primitive equations in oceanic dynamics; • heat transfer in biological tissues; • population dynamics and resource management; • micropolar fluid and blood motion. The combination of mathematical fundamentals with applications of current interest will make this book of much interest to researchers and graduate students looking at complex problems in mathematics, physics and biology as well as to control theorists
Member of
Is Subseries of
http://library.link/vocab/creatorName
Belmiloudi, Aziz
Dewey number
629.8312
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
JfEIap1awXI
Language note
English
LC call number
TJ212-225
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Communications and Control Engineering,
http://library.link/vocab/subjectName
  • System theory
  • Materials
  • Control and Systems Theory
  • Control, Robotics, Mechatronics
  • Systems Theory, Control
  • Classical and Continuum Physics
  • Materials Science, general
  • Mathematical and Computational Biology
Label
Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences, by Aziz Belmiloudi, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
General Introduction -- General Introduction -- Convex Analysis and Duality Principles -- Convexity and Topology -- A Brief Overview of Sobolev Spaces -- Legendre–Fenchel Transformation and Duality -- Lagrange Duality Theory -- General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems -- Studied Systems and General Results -- Optimal Control Problems -- Stabilization and Robust Control Problem -- Remarks on Numerical Techniques -- Applications in the Biological and Physical Sciences: Modeling and Stabilization -- Vortex Dynamics in Superconductors and Ginzburg–Landau-type Models -- Multi-scale Modeling of Alloy Solidification and Phase-field Model -- Large-scale Ocean in the Climate System -- Heat Transfer Laws on Temperature Distribution in Biological Tissues -- Lotka–Volterra-type Systems with Logistic Time-varying Delays -- Other Systems
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (518 p.)
Form of item
online
Isbn
9786611861674
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-344-6
Specific material designation
remote
System control number
  • (CKB)1000000000491889
  • (EBL)364429
  • (OCoLC)288468474
  • (SSID)ssj0000774090
  • (PQKBManifestationID)12239727
  • (PQKBTitleCode)TC0000774090
  • (PQKBWorkID)10846641
  • (PQKB)10336335
  • (SSID)ssj0000250374
  • (PQKBManifestationID)11191486
  • (PQKBTitleCode)TC0000250374
  • (PQKBWorkID)10232501
  • (PQKB)11759549
  • (DE-He213)978-1-84800-344-6
  • (MiAaPQ)EBC364429
  • (EXLCZ)991000000000491889
Label
Stabilization, Optimal and Robust Control : Theory and Applications in Biological and Physical Sciences, by Aziz Belmiloudi, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
General Introduction -- General Introduction -- Convex Analysis and Duality Principles -- Convexity and Topology -- A Brief Overview of Sobolev Spaces -- Legendre–Fenchel Transformation and Duality -- Lagrange Duality Theory -- General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems -- Studied Systems and General Results -- Optimal Control Problems -- Stabilization and Robust Control Problem -- Remarks on Numerical Techniques -- Applications in the Biological and Physical Sciences: Modeling and Stabilization -- Vortex Dynamics in Superconductors and Ginzburg–Landau-type Models -- Multi-scale Modeling of Alloy Solidification and Phase-field Model -- Large-scale Ocean in the Climate System -- Heat Transfer Laws on Temperature Distribution in Biological Tissues -- Lotka–Volterra-type Systems with Logistic Time-varying Delays -- Other Systems
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (518 p.)
Form of item
online
Isbn
9786611861674
Media category
computer
Media type code
c
Other control number
10.1007/978-1-84800-344-6
Specific material designation
remote
System control number
  • (CKB)1000000000491889
  • (EBL)364429
  • (OCoLC)288468474
  • (SSID)ssj0000774090
  • (PQKBManifestationID)12239727
  • (PQKBTitleCode)TC0000774090
  • (PQKBWorkID)10846641
  • (PQKB)10336335
  • (SSID)ssj0000250374
  • (PQKBManifestationID)11191486
  • (PQKBTitleCode)TC0000250374
  • (PQKBWorkID)10232501
  • (PQKB)11759549
  • (DE-He213)978-1-84800-344-6
  • (MiAaPQ)EBC364429
  • (EXLCZ)991000000000491889

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