Research Catalog
Stabilization, optimal and robust control : theory and applications in biological and physical sciences
- Title
- Stabilization, optimal and robust control : theory and applications in biological and physical sciences / Aziz Belmiloudi.
- Author
- Belmiloudi, Aziz.
- Publication
- London : Springer, ©2008.
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Use in library | TJ217.2 .B45 2008 | Off-site |
Details
- Description
- xxi, 502 pages; 24 cm.
- 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.
- 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. 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."--Jacket.
- Series Statement
- Communications and control engineering
- Uniform Title
- Communications and control engineering
- Subject
- Bibliography (note)
- Includes bibliographical references (p. [483]-497) and index.
- Contents
- 1. General Introduction -- pt. I. Convex Analysis and Duality Principles -- 2. Convexity and Topology -- 3. A Brief Overview of Sobolev Spaces -- 4. Legendre-Fenchel Transformation and Duality -- 5. Lagrange Duality Theory -- pt. II. General Results and Concepts on Robust and Optimal Control Theory for Evolutive Systems -- 6. Studied Systems and General Results -- 7. Optimal Control Problems -- 8. Stabilization and Robust Control Problem -- 9. Remarks on Numerical Techniques -- pt. III. Applications in the Biological and Physical Sciences: Modeling and Stabilization -- 10. Vortex Dynamics in Superconductors and Ginzburg-Landau-type Models -- 11. Multi-scale Modeling of Alloy Solidification and Phase-field Model.
- ISBN
- 9781848003439
- 1848003439
- 9781848003446
- 1848003447
- LCCN
- 2008928175
- OCLC
- ocn228582124
- 228582124
- SCSB-9271911
- Owning Institutions
- Princeton University Library