Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Barbu V. — Analysis and control of nonlinear infinite dimensional systems
Barbu V. — Analysis and control of nonlinear infinite dimensional systems

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: Analysis and control of nonlinear infinite dimensional systems

Автор: Barbu V.

Аннотация:

This monograph covers the analysis and optimal control of infinite dimensional nonlinear systems of the accretive type. Many applications of controlled systems can be modelled in this form, including nonlinear elliptic and parabolic problems, variational inequalities of elliptic and parabolic type, Stefan problems and other problems with free boundaries, nonlinear hyperbolic problems and nonlinear first order partial differential equations. The control of melting and solidification processes and the optimal control of free surfaces are two examples of the types of applications that are presented in this work. The text also covers optimal control problems governed by variational inequalities and problems with free boundary and examines two complememtary aspects of theory of nonlinear infinite dimensional systems: existence of solutions and synthesis via optimality criteria. It also presents existence theory for nonlinear differential equations of accretive type in Banach spaces with applications to partial differential equations.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 489

Добавлена в каталог: 08.02.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
Closed loop system      408
Cone, normal      61 94
Cone, tangent      94
Control, feedback, optimal feedback      407 412
Control, optimal      151
Control, problem      149
Control, time optimal      365
Convergence, strong      1
Convergence, weak      1
Convergence, weak star      1
Convex function      57
Convex integrand      72
Directional derivative      31 59
Domain, effective      87
Dynamic programming principle      420
Epigraph      57
Equation, dynamic programming      421
Equation, Hamilton — Jacobi      421
Equation, law conservation      300
Free boundary      85 130
Function, absolutely continuous      10
Function, Bochner integrable      9
Function, conjugate      58
Function, finitely valued      9
Function, Frechet differentiable      59
Function, Gateaux differentiable      59
Function, indicator      60
Function, indicator of A      60
Function, lower semicontinuous      57
Function, optimal value      417
Function, proper convex      57
Function, strongly measurable      10
Function, support      60
Function, weakly measurable      10
Generalized gradient      91
Leray — Schauder degree      5
Mapping, compact      5
Mapping, duality      2
Mapping, measurable      408
Mapping, upper-semicontinuous      7
Operator, coercive      37
Operator, demicontinuous      37
Operator, elliptic      130
Operator, hemicontinuous      37
Problem, Cauchy      25
Problem, elasto-plastic      142
Problem, free boundary      132
Problem, obstacle      131
Problem, Signorini      85 147
Problem, Stefan      284 292
Regularization of a function      65
Saddle point      8
Schauder fixed point theorem      6
Semigroup of class $C_{0}$      18
Semigroup of contractions      18 22
Semigroup, $\omega$-quasi contractive      229
Semigroup, analytic      23
Semigroup, differentiable      22
Set, $\omega$-accretive      100
Set, $\omega$-m-accretive      100
Set, accretive      100
Set, closed      103
Set, demiclosed      103
Set, m-accretive      100
Set, maximal monotone      36
Set, monotone      36
Solution, classical to Cauchy problem      25 200
Solution, mild to Cauchy problem      25 202
Solution, mild to Hamilton — Jacobi equation      440
Solution, strong to Cauchy problem      25 202
Solution, variational to Hamilton — Jacobi equation      434
Solution, viscosity to Hamilton — Jacobi equation      428
Space, strictly convex      2
Space, uniformly convex      2
Subdifferential      59 421
Subgradient      60
Superdifferential      421
Variational inequality, elliptic      126
Variational inequality, parabolic      270
Yosida approximation      48
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2019
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте