On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem
نویسندگان
چکیده
منابع مشابه
On Time Optimal Control of the Wave Equation and Its Numerical Realization as Parametric Optimization Problem
Time optimal control of the wave equation is analyzed on the basis of a regularized formulation which is considered as a bilevel optimization problem. For the lower level problems, which are constrained optimal control problems for the wave equation, a detailed sensitivity analysis is carried out. Further a semi-smooth Newton method is analyzed and proved to converge locally superlinearly. Nume...
متن کاملTime optimal control of the wave equation, its regularization and numerical realization
An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including a transversality conditions for the regularized and unregularized problems are derived. The regularized problem also serves as a starting point for numerical techniques. For this purpose a family of parameterized optima...
متن کاملOn Time Optimal Control of the Wave Equation, its Regularization and Optimality System
An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.
متن کاملModeling of the Maximum Entropy Problem as an Optimal Control Problem and its Application to Pdf Estimation of Electricity Price
In this paper, the continuous optimal control theory is used to model and solve the maximum entropy problem for a continuous random variable. The maximum entropy principle provides a method to obtain least-biased probability density function (Pdf) estimation. In this paper, to find a closed form solution for the maximum entropy problem with any number of moment constraints, the entropy is consi...
متن کاملthe effects of time planning and task complexity on accuracy of narrative task performance
هدف اصلی این تحقیق بررسی تاثیر برنامه ریزی زمانی، هم چنین افزایش میزان پیچیدگی تکالیف در نظر گرفته شده بصورت همزمان، بر دقت و صحت و پیچیدگی عملکرد نوشتاری زبان آموزان می باشد. بدین منظور، 50 نفر از دانش آموزان دختر در رده ی سنی 16 الی 18 سال به عنوان شرکت کنندگان در این زمینه ی تحقیق در نظر گرفته شدند و به دو گروه آزمایشی و کنترل بصورت اتفاقی تقسیم شدند. اعضای گروه آزمایشی هر دو تکلیف ساده و پی...
ذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Control and Optimization
سال: 2013
ISSN: 0363-0129,1095-7138
DOI: 10.1137/120877520