Control Theory of Systems Governed by Partial Differential Equations
Control Theory of Systems Governed by Partial Differential Equations

Author: A.K. Aziz

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 289

ISBN-13: 1483216306

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Control Theory of Systems Governed by Partial Differential Equations covers the proceedings of the 1976 Conference by the same title, held at the Naval Surface Weapons Center, Silver Spring, Maryland. The purpose of this conference is to examine the control theory of partial differential equations and its application. This text is divided into five chapters that primarily focus on tutorial lecture series on the theory of optimal control of distributed systems. It describes the many manifestations of the theory and its applications appearing in the other chapters. This work also presents the principles of the duality and asymptotic methods in control theory, including the variational principle for the heat equation. A chapter highlights systems that are not of the linear quadratic type. This chapter also explores the control of free surfaces and the geometrical control variables. The last chapter provides a summary of the features and applications of the numerical approximation of problems of optimal control. This book will prove useful to mathematicians, engineers, and researchers.

Optimal Control and Partial Differential Equations
Optimal Control and Partial Differential Equations

Author: José Luis Menaldi

Publisher: IOS Press

Published: 2001

Total Pages: 632

ISBN-13: 9781586030964

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This volume contains more than sixty invited papers of international wellknown scientists in the fields where Alain Bensoussan's contributions have been particularly important: filtering and control of stochastic systems, variationnal problems, applications to economy and finance, numerical analysis... In particular, the extended texts of the lectures of Professors Jens Frehse, Hitashi Ishii, Jacques-Louis Lions, Sanjoy Mitter, Umberto Mosco, Bernt Oksendal, George Papanicolaou, A. Shiryaev, given in the Conference held in Paris on December 4th, 2000 in honor of Professor Alain Bensoussan are included.

Computational Optimization of Systems Governed by Partial Differential Equations
Computational Optimization of Systems Governed by Partial Differential Equations

Author: Alfio Borzi

Publisher: SIAM

Published: 2012-01-26

Total Pages: 295

ISBN-13: 1611972043

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This book provides a bridge between continuous optimization and PDE modelling and focuses on the numerical solution of the corresponding problems. Intended for graduate students in PDE-constrained optimization, it is also suitable as an introduction for researchers in scientific computing or optimization.

Optimal Control of Coupled Systems of Partial Differential Equations
Optimal Control of Coupled Systems of Partial Differential Equations

Author: Karl Kunisch

Publisher: Springer Science & Business Media

Published: 2009-12-03

Total Pages: 346

ISBN-13: 3764389230

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Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, model-reduction techniques, and fluid-structure interactions.

Trends in Control Theory and Partial Differential Equations
Trends in Control Theory and Partial Differential Equations

Author: Fatiha Alabau-Boussouira

Publisher: Springer

Published: 2019-07-04

Total Pages: 276

ISBN-13: 3030179494

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This book presents cutting-edge contributions in the areas of control theory and partial differential equations. Over the decades, control theory has had deep and fruitful interactions with the theory of partial differential equations (PDEs). Well-known examples are the study of the generalized solutions of Hamilton-Jacobi-Bellman equations arising in deterministic and stochastic optimal control and the development of modern analytical tools to study the controllability of infinite dimensional systems governed by PDEs. In the present volume, leading experts provide an up-to-date overview of the connections between these two vast fields of mathematics. Topics addressed include regularity of the value function associated to finite dimensional control systems, controllability and observability for PDEs, and asymptotic analysis of multiagent systems. The book will be of interest for both researchers and graduate students working in these areas.