Time Optimal Control of Evolution Equations
авг 2018. · Progress in Nonlinear Differential Equations and Their Applications 92. књига · Springer
Е-књига
334
Страница
reportОцене и рецензије нису верификоване Сазнајте више
О овој е-књизи
This monograph develops a framework for time-optimal control problems, focusing on minimal and maximal time-optimal controls for linear-controlled evolution equations. Its use in optimal control provides a welcome update to Fattorini’s work on time-optimal and norm-optimal control problems. By discussing the best way of representing various control problems and equivalence among them, this systematic study gives readers the tools they need to solve practical problems in control. After introducing preliminaries in functional analysis, evolution equations, and controllability and observability estimates, the authors present their time-optimal control framework, which consists of four elements: a controlled system, a control constraint set, a starting set, and an ending set. From there, they use their framework to address areas of recent development in time-optimal control, including the existence of admissible controls and optimal controls, Pontryagin’s maximum principle for optimal controls, the equivalence of different optimal control problems, and bang-bang properties.
This monograph will appeal to researchers and graduate students in time-optimal control theory, as well as related areas of controllability and dynamic programming. For ease of reference, the text itself is self-contained on the topic of time-optimal control. Frequent examples throughout clarify the applications of theorems and definitions, although experience with functional analysis and differential equations will be useful.
О аутору
Gengsheng Wang is a professor at the Center for Applied Mathematics at Tianjin University.
Lijuan Wang is a professor at Wuhan University's School of Matheamtics and Statistics.
Yashan Xu is a professor at the School of Mathematical University at Fudan University.
Yubiao Zhang is a professor at the Center for Applied Mathematics at Tianjin University.
Lijuan Wang is a professor at Wuhan University's School of Matheamtics and Statistics.
Yashan Xu is a professor at the School of Mathematical University at Fudan University.
Yubiao Zhang is a professor at the Center for Applied Mathematics at Tianjin University.
Оцените ову е-књигу
Јавите нам своје мишљење.
Информације о читању
Паметни телефони и таблети
Инсталирајте апликацију Google Play књиге за Android и iPad/iPhone. Аутоматски се синхронизује са налогом и омогућава вам да читате онлајн и офлајн где год да се налазите.
Лаптопови и рачунари
Можете да слушате аудио-књиге купљене на Google Play-у помоћу веб-прегледача на рачунару.
Е-читачи и други уређаји
Да бисте читали на уређајима које користе е-мастило, као што су Kobo е-читачи, треба да преузмете фајл и пренесете га на уређај. Пратите детаљна упутства из центра за помоћ да бисте пренели фајлове у подржане е-читаче.
