Mathematical Control Theory for Stochastic Partial Differential Equations

Mathematical Control Theory for Stochastic Partial Differential Equations

Author: Qi Lü

Publisher: Springer

ISBN: 303082330X

Category: Science

Page: 592

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This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one has to develop new mathematical tools to solve some problems in this field, such as the global Carleman estimate for stochastic partial differential equations and the stochastic transposition method for backward stochastic evolution equations. In a certain sense, the stochastic distributed parameter control system is the most general control system in the context of classical physics. Accordingly, studying this field may also yield valuable insights into quantum control systems. A basic grasp of functional analysis, partial differential equations, and control theory for deterministic systems is the only prerequisite for reading this book.
Mathematical Control Theory for Stochastic Partial Differential Equations
Language: en
Pages: 592
Authors: Qi Lü, Xu Zhang
Categories: Science
Type: BOOK - Published: 2021-10-11 - Publisher: Springer

This is the first book to systematically present control theory for stochastic distributed parameter systems, a comparatively new branch of mathematical control theory. The new phenomena and difficulties arising in the study of controllability and optimal control problems for this type of system are explained in detail. Interestingly enough, one
Differential Equations and Control Theory
Language: en
Pages: 544
Authors: Z. Deng, Z. Liang, G. Lu, S. Ruan
Categories: Mathematics
Type: BOOK - Published: 2020-11-26 - Publisher: CRC Press

This work presents the proceedings from the International Conference on Differential Equations and Control Theory, held recently in Wuhan, China. It provides an overview of current developments in a range of topics including dynamical systems, optimal control theory, stochastic control, chaos, fractals, wavelets and ordinary, partial, functional and stochastic differential
Recent Advances in Differential Equations and Control Theory
Language: en
Pages: 102
Authors: Concepción Muriel, Carmen Pérez-Martinez
Categories: Mathematics
Type: BOOK - Published: 2021-03-13 - Publisher: Springer Nature

This book collects the latest results and new trends in the application of mathematics to some problems in control theory, numerical simulation and differential equations. The work comprises the main results presented at a thematic minisymposium, part of the 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019), held
Ordinary Differential Equations
Language: en
Pages: 333
Authors: Hartmut Logemann, Eugene P. Ryan
Categories: Mathematics
Type: BOOK - Published: 2014-07-08 - Publisher: Springer

The book comprises a rigorous and self-contained treatment of initial-value problems for ordinary differential equations. It additionally develops the basics of control theory, which is a unique feature in current textbook literature. The following topics are particularly emphasised: • existence, uniqueness and continuation of solutions, • continuous dependence on initial
Control Theory of Systems Governed by Partial Differential Equations
Language: en
Pages: 288
Authors: A.K. Aziz, J.W. Wingate, M.J. Balas
Categories: Technology & Engineering
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press

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