Stabilization, Optimal and Robust Control Theory and Applications in Biological and Physical Sciences - Belmiloudi, Aziz.; SpringerLink (Online service) (London : Springer London : Imprint: Springer, 2008)
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.
Keywords: Control engineering; Robotics; Mechatronics; System theory; Continuum physics; Materials science; Biomathematics; Control and Systems Theory; Control, Robotics, Mechatronics; Systems Theory, Control; Classical and Continuum Physics; Materials Science, general; Mathematical and Computational Biology