Author: Roland GriessePublisher:
ISBN:
Category :
Languages : en
Pages : 194
Book Description
Parametric sensitivity analysis for control-constrained optimal control problems governed by systems of parabolic partial differential equations
Author: Roland GriesseParametric Sensitivity Analysis for Control-constrained Optimal Control Problems Coverned by Systems of Parabolic Partial Differential Equations
Author: Roland GriesseParametric sensitivity analysis for control-constrained optimal control problems governed partial differential equations
Author: Roland GriesseSensitivity-constrained Linear Optimal Control
Author: John Robert SesakOptimal Control of Nonsmooth Distributed Parameter Systems
Author: Dan TibaPublisher: Springer
ISBN: 3540467556
Category : Science
Languages : en
Pages : 166
Book Description
The book is devoted to the study of distributed control problems governed by various nonsmooth state systems. The main questions investigated include: existence of optimal pairs, first order optimality conditions, state-constrained systems, approximation and discretization, bang-bang and regularity properties for optimal control. In order to give the reader a better overview of the domain, several sections deal with topics that do not enter directly into the announced subject: boundary control, delay differential equations. In a subject still actively developing, the methods can be more important than the results and these include: adapted penalization techniques, the singular control systems approach, the variational inequality method, the Ekeland variational principle. Some prerequisites relating to convex analysis, nonlinear operators and partial differential equations are collected in the first chapter or are supplied appropriately in the text. The monograph is intended for graduate students and for researchers interested in this area of mathematics.
SIAM Journal on Control and Optimization
Author: Society for Industrial and Applied MathematicsPublisher:
ISBN:
Category : Control theory
Languages : en
Pages : 1200
Book Description
Numerical Study for Optimal Control Problems of Parabolic Systems
Author: Talaat AbdelhamidPublisher: LAP Lambert Academic Publishing
ISBN: 9783848430482
Category :
Languages : en
Pages : 80
Book Description
The optimal control problems governed by partial differential equations have developed very fast in the last 30 years, and it has brought a promising and vital researching domain to the subject of mathematics. The optimal control problems governed by partial differential equations concern many applications in physics, chemistry, biology, etc., such as materials design, crystal growth, temperature control, petroleum exploitation, and so on. The partial differential equations involved in these problems include elliptic equations, parabolic equations and hyperbolic equations. Our objective of this book, which consists of three chapters, aims to introduce the analytical and numerical solutions of constrained optimal control problems of quasilinear parabolic systems.
Perturbations, Approximations, and Sensitivity Analysis of Optimal Control Systems
Author: A. L. DontchevPublisher: Springer
ISBN:
Category : Science
Languages : en
Pages : 170
Book Description
Devoted to current problems in sensitivity analysis of optimal control. Two topics are considered: well-posedness, i.e. continuation of the solutions; & estimation of variations in solutions of constrained optimal control problems resulting from various changes of the model.
Infinite Dimensional Optimization and Control Theory
Author: Hector O. FattoriniPublisher: Cambridge University Press
ISBN: 9780521451253
Category : Computers
Languages : en
Pages : 828
Book Description
Treats optimal problems for systems described by ODEs and PDEs, using an approach that unifies finite and infinite dimensional nonlinear programming.
Author: Christof Büskens