The quadratic cost optimal control problem for systems described by linear ordinary differential equations occupies a central role in the study of control systems. The first of two volumes on the subject deals with the theory of time evolution of controlled infinite-dimensional systems, and it inclu

Representation and Control of Infinite-Dimensional Systems: Vol.I (Systems & Control: Foundations & Applications)

Science & Math

Michel C. Delfour

Giuseppe, Da Prato

Alain Bensoussan

Sanjoy K. Mitter

Mathematics

Birhauser

This second edition builds upon its prior edition's foundation, showcasing new material linked to convex analysis and non smooth optimization. It presents a modern treatment of optimization and Hadamard semi differential calculus while remaining at a level that is accessible to undergraduate students. Appropriate as both a textbook and a reference, it includes exercises related to problems in such fields as engineering, mechanics, medicine, physics, and economics along with answers.

Introduction to Optimization and Hadamard Semidifferential Calculus, Second Edition

SIAM: Society for Industrial and Applied Mathematics

This innovative book introduces finite and transfinite interpolation methods at a general level in a unifying mathematical style before covering dynamical interpolation methods, which emphasize the underlying Eulerian/Lagrangian dynamics. Transfinite Interpolations and Eulerian/Lagrangian Dynamics: <ul> <li>Considers the support of the data set as a geometrically structured set as opposed to an unstructured cloud of points.</li> <li>Is a self-contained graduate-level text, integrating theory, applications, numerical approximations, and computational techniques. Tackles transfinite interpolation methods applied to finite element meshes adaptation and ALE fluid-structure interaction and to the construction of velocity fields from the boundary expression of shape derivatives.</li> </ul> Specialists in applied mathematics, physics, mechanics, computational sciences, imaging sciences, and engineering will find this book of interest.

Transfinite Interpolations and Eulerian/Lagrangian Dynamics

André Garon

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Books by Michel C. Delfour